author | wenzelm |
Mon, 02 May 2011 21:46:54 +0200 | |
changeset 42630 | a55e0663ad1d |
parent 42627 | 8749742785b8 |
child 42651 | e3fdb7c96be5 |
permissions | -rw-r--r-- |
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\begin{isabellebody}% |
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\def\isabellecontext{HOL{\isaliteral{5F}{\isacharunderscore}}Specific}% |
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\isadelimtheory |
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\endisadelimtheory |
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\isatagtheory |
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\isacommand{theory}\isamarkupfalse% |
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\ HOL{\isaliteral{5F}{\isacharunderscore}}Specific\isanewline |
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\isakeyword{imports}\ Main\isanewline |
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\isakeyword{begin}% |
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\endisatagtheory |
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{\isafoldtheory}% |
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\isadelimtheory |
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\endisadelimtheory |
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\isamarkupchapter{Isabelle/HOL \label{ch:hol}% |
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} |
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\isamarkuptrue% |
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% |
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\isamarkupsection{Typedef axiomatization \label{sec:hol-typedef}% |
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} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}% |
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\begin{matharray}{rcl} |
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\indexdef{HOL}{command}{typedef}\hypertarget{command.HOL.typedef}{\hyperlink{command.HOL.typedef}{\mbox{\isa{\isacommand{typedef}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
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\end{matharray} |
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\begin{railoutput} |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.typedef}{\mbox{\isa{\isacommand{typedef}}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\isa{altname}}[] |
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\rail@endbar |
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\rail@nont{\isa{abstype}}[] |
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\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
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\rail@nont{\isa{repset}}[] |
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\rail@end |
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\rail@begin{3}{\isa{altname}} |
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\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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\rail@bar |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@nextbar{1} |
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\rail@term{\isa{\isakeyword{open}}}[] |
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\rail@nextbar{2} |
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\rail@term{\isa{\isakeyword{open}}}[] |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@endbar |
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\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
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\rail@end |
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\rail@begin{2}{\isa{abstype}} |
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\rail@nont{\hyperlink{syntax.typespecsorts}{\mbox{\isa{typespecsorts}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.mixfix}{\mbox{\isa{mixfix}}}}[] |
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\rail@endbar |
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\rail@end |
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\rail@begin{2}{\isa{repset}} |
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\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@term{\isa{\isakeyword{morphisms}}}[] |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@endbar |
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\rail@end |
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\end{railoutput} |
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\begin{description} |
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\item \hyperlink{command.HOL.typedef}{\mbox{\isa{\isacommand{typedef}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{29}{\isacharparenright}}\ t\ {\isaliteral{3D}{\isacharequal}}\ A{\isaliteral{22}{\isachardoublequote}}} |
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axiomatizes a Gordon/HOL-style type definition in the background |
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theory of the current context, depending on a non-emptiness result |
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of the set \isa{A} (which needs to be proven interactively). |
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The raw type may not depend on parameters or assumptions of the |
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context --- this is logically impossible in Isabelle/HOL --- but the |
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non-emptiness property can be local, potentially resulting in |
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multiple interpretations in target contexts. Thus the established |
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bijection between the representing set \isa{A} and the new type |
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\isa{t} may semantically depend on local assumptions. |
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By default, \hyperlink{command.HOL.typedef}{\mbox{\isa{\isacommand{typedef}}}} defines both a type \isa{t} |
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and a set (term constant) of the same name, unless an alternative |
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base name is given in parentheses, or the ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}open{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}}'' |
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declaration is used to suppress a separate constant definition |
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altogether. The injection from type to set is called \isa{Rep{\isaliteral{5F}{\isacharunderscore}}t}, |
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its inverse \isa{Abs{\isaliteral{5F}{\isacharunderscore}}t} --- this may be changed via an explicit |
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\hyperlink{keyword.HOL.morphisms}{\mbox{\isa{\isakeyword{morphisms}}}} declaration. |
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Theorems \isa{Rep{\isaliteral{5F}{\isacharunderscore}}t}, \isa{Rep{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}inverse}, and \isa{Abs{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}inverse} provide the most basic characterization as a |
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corresponding injection/surjection pair (in both directions). Rules |
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\isa{Rep{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}inject} and \isa{Abs{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}inject} provide a slightly |
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more convenient view on the injectivity part, suitable for automated |
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proof tools (e.g.\ in \hyperlink{attribute.simp}{\mbox{\isa{simp}}} or \hyperlink{attribute.iff}{\mbox{\isa{iff}}} |
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declarations). Rules \isa{Rep{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}cases}/\isa{Rep{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}induct}, and |
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\isa{Abs{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}cases}/\isa{Abs{\isaliteral{5F}{\isacharunderscore}}t{\isaliteral{5F}{\isacharunderscore}}induct} provide alternative views |
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on surjectivity; these are already declared as set or type rules for |
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the generic \hyperlink{method.cases}{\mbox{\isa{cases}}} and \hyperlink{method.induct}{\mbox{\isa{induct}}} methods. |
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An alternative name for the set definition (and other derived |
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entities) may be specified in parentheses; the default is to use |
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\isa{t} as indicated before. |
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\end{description}% |
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\end{isamarkuptext}% |
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\isamarkuptrue% |
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% |
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\isamarkupsection{Adhoc tuples% |
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} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}% |
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\begin{matharray}{rcl} |
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\indexdef{HOL}{attribute}{split\_format}\hypertarget{attribute.HOL.split-format}{\hyperlink{attribute.HOL.split-format}{\mbox{\isa{split{\isaliteral{5F}{\isacharunderscore}}format}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{attribute} \\ |
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\end{matharray} |
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\begin{railoutput} |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{attribute.HOL.split-format}{\mbox{\isa{split{\isaliteral{5F}{\isacharunderscore}}format}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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\rail@term{\isa{complete}}[] |
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\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
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\rail@endbar |
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\rail@end |
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\end{railoutput} |
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\begin{description} |
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\item \hyperlink{attribute.HOL.split-format}{\mbox{\isa{split{\isaliteral{5F}{\isacharunderscore}}format}}}\ \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}complete{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} causes |
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arguments in function applications to be represented canonically |
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according to their tuple type structure. |
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Note that this operation tends to invent funny names for new local |
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parameters introduced. |
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\end{description}% |
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\end{isamarkuptext}% |
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\isamarkuptrue% |
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% |
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\isamarkupsection{Records \label{sec:hol-record}% |
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} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}% |
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In principle, records merely generalize the concept of tuples, where |
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components may be addressed by labels instead of just position. The |
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logical infrastructure of records in Isabelle/HOL is slightly more |
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advanced, though, supporting truly extensible record schemes. This |
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admits operations that are polymorphic with respect to record |
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extension, yielding ``object-oriented'' effects like (single) |
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inheritance. See also \cite{NaraschewskiW-TPHOLs98} for more |
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details on object-oriented verification and record subtyping in HOL.% |
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\end{isamarkuptext}% |
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\isamarkuptrue% |
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% |
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\isamarkupsubsection{Basic concepts% |
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} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}% |
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Isabelle/HOL supports both \emph{fixed} and \emph{schematic} records |
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at the level of terms and types. The notation is as follows: |
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\begin{center} |
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\begin{tabular}{l|l|l} |
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& record terms & record types \\ \hline |
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fixed & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ A{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ B{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
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schematic & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3D}{\isacharequal}}\ m{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} & |
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\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ A{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ B{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ M{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
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\end{tabular} |
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\end{center} |
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\noindent The ASCII representation of \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} is \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{7C}{\isacharbar}}\ x\ {\isaliteral{3D}{\isacharequal}}\ a\ {\isaliteral{7C}{\isacharbar}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}}. |
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A fixed record \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} has field \isa{x} of value |
26849 | 187 |
\isa{a} and field \isa{y} of value \isa{b}. The corresponding |
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type is \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ A{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ B{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}, assuming that \isa{{\isaliteral{22}{\isachardoublequote}}a\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ A{\isaliteral{22}{\isachardoublequote}}} |
189 |
and \isa{{\isaliteral{22}{\isachardoublequote}}b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ B{\isaliteral{22}{\isachardoublequote}}}. |
|
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|
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A record scheme like \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3D}{\isacharequal}}\ m{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} contains fields |
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\isa{x} and \isa{y} as before, but also possibly further fields |
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as indicated by the ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}}'' notation (which is actually part |
194 |
of the syntax). The improper field ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}}'' of a record |
|
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scheme is called the \emph{more part}. Logically it is just a free |
196 |
variable, which is occasionally referred to as ``row variable'' in |
|
197 |
the literature. The more part of a record scheme may be |
|
198 |
instantiated by zero or more further components. For example, the |
|
40406 | 199 |
previous scheme may get instantiated to \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{2C}{\isacharcomma}}\ z\ {\isaliteral{3D}{\isacharequal}}\ c{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3D}{\isacharequal}}\ m{\isaliteral{27}{\isacharprime}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}, where \isa{m{\isaliteral{27}{\isacharprime}}} refers to a different more part. |
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Fixed records are special instances of record schemes, where |
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``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}}'' is properly terminated by the \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ unit{\isaliteral{22}{\isachardoublequote}}} |
202 |
element. In fact, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} is just an abbreviation |
|
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for \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}. |
|
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26849 | 205 |
\medskip Two key observations make extensible records in a simply |
206 |
typed language like HOL work out: |
|
207 |
||
208 |
\begin{enumerate} |
|
209 |
||
210 |
\item the more part is internalized, as a free term or type |
|
211 |
variable, |
|
212 |
||
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\item field names are externalized, they cannot be accessed within |
214 |
the logic as first-class values. |
|
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|
216 |
\end{enumerate} |
|
217 |
||
218 |
\medskip In Isabelle/HOL record types have to be defined explicitly, |
|
219 |
fixing their field names and types, and their (optional) parent |
|
220 |
record. Afterwards, records may be formed using above syntax, while |
|
221 |
obeying the canonical order of fields as given by their declaration. |
|
222 |
The record package provides several standard operations like |
|
223 |
selectors and updates. The common setup for various generic proof |
|
224 |
tools enable succinct reasoning patterns. See also the Isabelle/HOL |
|
225 |
tutorial \cite{isabelle-hol-book} for further instructions on using |
|
226 |
records in practice.% |
|
227 |
\end{isamarkuptext}% |
|
228 |
\isamarkuptrue% |
|
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% |
|
230 |
\isamarkupsubsection{Record specifications% |
|
231 |
} |
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\isamarkuptrue% |
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% |
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\begin{isamarkuptext}% |
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\begin{matharray}{rcl} |
|
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\indexdef{HOL}{command}{record}\hypertarget{command.HOL.record}{\hyperlink{command.HOL.record}{\mbox{\isa{\isacommand{record}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
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\end{matharray} |
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\begin{railoutput} |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.record}{\mbox{\isa{\isacommand{record}}}}}[] |
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\rail@nont{\hyperlink{syntax.typespecsorts}{\mbox{\isa{typespecsorts}}}}[] |
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\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.type}{\mbox{\isa{type}}}}[] |
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\rail@term{\isa{{\isaliteral{2B}{\isacharplus}}}}[] |
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\rail@endbar |
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\rail@plus |
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\rail@nont{\hyperlink{syntax.constdecl}{\mbox{\isa{constdecl}}}}[] |
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\rail@nextplus{1} |
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\rail@endplus |
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\rail@end |
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\end{railoutput} |
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\begin{description} |
26849 | 258 |
|
40406 | 259 |
\item \hyperlink{command.HOL.record}{\mbox{\isa{\isacommand{record}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{29}{\isacharparenright}}\ t\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{5C3C7461753E}{\isasymtau}}\ {\isaliteral{2B}{\isacharplus}}\ c\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ c\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{22}{\isachardoublequote}}} defines extensible record type \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{22}{\isachardoublequote}}}, |
260 |
derived from the optional parent record \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7461753E}{\isasymtau}}{\isaliteral{22}{\isachardoublequote}}} by adding new |
|
261 |
field components \isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub i\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} etc. |
|
26849 | 262 |
|
40406 | 263 |
The type variables of \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7461753E}{\isasymtau}}{\isaliteral{22}{\isachardoublequote}}} and \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} need to be |
264 |
covered by the (distinct) parameters \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{22}{\isachardoublequote}}}. Type constructor \isa{t} has to be new, while \isa{{\isaliteral{5C3C7461753E}{\isasymtau}}} needs to specify an instance of an existing record type. At |
|
265 |
least one new field \isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} has to be specified. |
|
26849 | 266 |
Basically, field names need to belong to a unique record. This is |
267 |
not a real restriction in practice, since fields are qualified by |
|
268 |
the record name internally. |
|
269 |
||
40406 | 270 |
The parent record specification \isa{{\isaliteral{5C3C7461753E}{\isasymtau}}} is optional; if omitted |
26849 | 271 |
\isa{t} becomes a root record. The hierarchy of all records |
272 |
declared within a theory context forms a forest structure, i.e.\ a |
|
273 |
set of trees starting with a root record each. There is no way to |
|
274 |
merge multiple parent records! |
|
275 |
||
40406 | 276 |
For convenience, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{22}{\isachardoublequote}}} is made a |
277 |
type abbreviation for the fixed record type \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ c\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}, likewise is \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{5F}{\isacharunderscore}}scheme{\isaliteral{22}{\isachardoublequote}}} made an abbreviation for |
|
278 |
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ c\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}. |
|
26849 | 279 |
|
28788 | 280 |
\end{description}% |
26849 | 281 |
\end{isamarkuptext}% |
282 |
\isamarkuptrue% |
|
283 |
% |
|
284 |
\isamarkupsubsection{Record operations% |
|
285 |
} |
|
286 |
\isamarkuptrue% |
|
287 |
% |
|
288 |
\begin{isamarkuptext}% |
|
289 |
Any record definition of the form presented above produces certain |
|
290 |
standard operations. Selectors and updates are provided for any |
|
291 |
field, including the improper one ``\isa{more}''. There are also |
|
292 |
cumulative record constructor functions. To simplify the |
|
40406 | 293 |
presentation below, we assume for now that \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{22}{\isachardoublequote}}} is a root record with fields \isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ c\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{22}{\isachardoublequote}}}. |
26849 | 294 |
|
295 |
\medskip \textbf{Selectors} and \textbf{updates} are available for |
|
296 |
any field (including ``\isa{more}''): |
|
297 |
||
298 |
\begin{matharray}{lll} |
|
40406 | 299 |
\isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} \\ |
300 |
\isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{5F}{\isacharunderscore}}update{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub i\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
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\end{matharray} |
302 |
||
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There is special syntax for application of updates: \isa{{\isaliteral{22}{\isachardoublequote}}r{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} abbreviates term \isa{{\isaliteral{22}{\isachardoublequote}}x{\isaliteral{5F}{\isacharunderscore}}update\ a\ r{\isaliteral{22}{\isachardoublequote}}}. Further notation for |
304 |
repeated updates is also available: \isa{{\isaliteral{22}{\isachardoublequote}}r{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}y\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}z\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ c{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} may be written \isa{{\isaliteral{22}{\isachardoublequote}}r{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{2C}{\isacharcomma}}\ z\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ c{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}. Note that |
|
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because of postfix notation the order of fields shown here is |
306 |
reverse than in the actual term. Since repeated updates are just |
|
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function applications, fields may be freely permuted in \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}x\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ a{\isaliteral{2C}{\isacharcomma}}\ y\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ b{\isaliteral{2C}{\isacharcomma}}\ z\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3D}{\isacharequal}}\ c{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}}, as far as logical equality is concerned. |
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Thus commutativity of independent updates can be proven within the |
309 |
logic for any two fields, but not as a general theorem. |
|
310 |
||
311 |
\medskip The \textbf{make} operation provides a cumulative record |
|
312 |
constructor function: |
|
313 |
||
314 |
\begin{matharray}{lll} |
|
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\isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}make{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
26849 | 316 |
\end{matharray} |
317 |
||
318 |
\medskip We now reconsider the case of non-root records, which are |
|
319 |
derived of some parent. In general, the latter may depend on |
|
320 |
another parent as well, resulting in a list of \emph{ancestor |
|
321 |
records}. Appending the lists of fields of all ancestors results in |
|
322 |
a certain field prefix. The record package automatically takes care |
|
323 |
of this by lifting operations over this context of ancestor fields. |
|
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Assuming that \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E7375623E}{}\isactrlsub m{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{22}{\isachardoublequote}}} has ancestor |
325 |
fields \isa{{\isaliteral{22}{\isachardoublequote}}b\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C72686F3E}{\isasymrho}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ b\isaliteral{5C3C5E7375623E}{}\isactrlsub k\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C72686F3E}{\isasymrho}}\isaliteral{5C3C5E7375623E}{}\isactrlsub k{\isaliteral{22}{\isachardoublequote}}}, |
|
26849 | 326 |
the above record operations will get the following types: |
327 |
||
26852 | 328 |
\medskip |
329 |
\begin{tabular}{lll} |
|
40406 | 330 |
\isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} \\ |
331 |
\isa{{\isaliteral{22}{\isachardoublequote}}c\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{5F}{\isacharunderscore}}update{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub i\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
332 |
\isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}make{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C72686F3E}{\isasymrho}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C72686F3E}{\isasymrho}}\isaliteral{5C3C5E7375623E}{}\isactrlsub k\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
26852 | 333 |
\end{tabular} |
334 |
\medskip |
|
26849 | 335 |
|
26852 | 336 |
\noindent Some further operations address the extension aspect of a |
40406 | 337 |
derived record scheme specifically: \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}fields{\isaliteral{22}{\isachardoublequote}}} produces a |
26849 | 338 |
record fragment consisting of exactly the new fields introduced here |
40406 | 339 |
(the result may serve as a more part elsewhere); \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}extend{\isaliteral{22}{\isachardoublequote}}} |
340 |
takes a fixed record and adds a given more part; \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}truncate{\isaliteral{22}{\isachardoublequote}}} restricts a record scheme to a fixed record. |
|
26849 | 341 |
|
26852 | 342 |
\medskip |
343 |
\begin{tabular}{lll} |
|
40406 | 344 |
\isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}fields{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E7375623E}{}\isactrlsub n\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
345 |
\isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}extend{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
346 |
\isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}truncate{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{5C3C7A6574613E}{\isasymzeta}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C6C706172723E}{\isasymlparr}}\isaliteral{5C3C5E7665633E}{}\isactrlvec b\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C72686F3E}{\isasymrho}}{\isaliteral{2C}{\isacharcomma}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec c\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ \isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C7369676D613E}{\isasymsigma}}{\isaliteral{5C3C72706172723E}{\isasymrparr}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
26852 | 347 |
\end{tabular} |
348 |
\medskip |
|
26849 | 349 |
|
40406 | 350 |
\noindent Note that \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}make{\isaliteral{22}{\isachardoublequote}}} and \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}fields{\isaliteral{22}{\isachardoublequote}}} coincide |
26849 | 351 |
for root records.% |
352 |
\end{isamarkuptext}% |
|
353 |
\isamarkuptrue% |
|
354 |
% |
|
355 |
\isamarkupsubsection{Derived rules and proof tools% |
|
356 |
} |
|
357 |
\isamarkuptrue% |
|
358 |
% |
|
359 |
\begin{isamarkuptext}% |
|
360 |
The record package proves several results internally, declaring |
|
361 |
these facts to appropriate proof tools. This enables users to |
|
362 |
reason about record structures quite conveniently. Assume that |
|
363 |
\isa{t} is a record type as specified above. |
|
364 |
||
365 |
\begin{enumerate} |
|
42123 | 366 |
|
26849 | 367 |
\item Standard conversions for selectors or updates applied to |
368 |
record constructor terms are made part of the default Simplifier |
|
369 |
context; thus proofs by reduction of basic operations merely require |
|
26902 | 370 |
the \hyperlink{method.simp}{\mbox{\isa{simp}}} method without further arguments. These rules |
40406 | 371 |
are available as \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}simps{\isaliteral{22}{\isachardoublequote}}}, too. |
42123 | 372 |
|
26849 | 373 |
\item Selectors applied to updated records are automatically reduced |
374 |
by an internal simplification procedure, which is also part of the |
|
375 |
standard Simplifier setup. |
|
376 |
||
40406 | 377 |
\item Inject equations of a form analogous to \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}x{\isaliteral{2C}{\isacharcomma}}\ y{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}x{\isaliteral{27}{\isacharprime}}{\isaliteral{2C}{\isacharcomma}}\ y{\isaliteral{27}{\isacharprime}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ x\ {\isaliteral{3D}{\isacharequal}}\ x{\isaliteral{27}{\isacharprime}}\ {\isaliteral{5C3C616E643E}{\isasymand}}\ y\ {\isaliteral{3D}{\isacharequal}}\ y{\isaliteral{27}{\isacharprime}}{\isaliteral{22}{\isachardoublequote}}} are declared to the Simplifier and Classical |
26902 | 378 |
Reasoner as \hyperlink{attribute.iff}{\mbox{\isa{iff}}} rules. These rules are available as |
40406 | 379 |
\isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}iffs{\isaliteral{22}{\isachardoublequote}}}. |
26849 | 380 |
|
40406 | 381 |
\item The introduction rule for record equality analogous to \isa{{\isaliteral{22}{\isachardoublequote}}x\ r\ {\isaliteral{3D}{\isacharequal}}\ x\ r{\isaliteral{27}{\isacharprime}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ y\ r\ {\isaliteral{3D}{\isacharequal}}\ y\ r{\isaliteral{27}{\isacharprime}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ r\ {\isaliteral{3D}{\isacharequal}}\ r{\isaliteral{27}{\isacharprime}}{\isaliteral{22}{\isachardoublequote}}} is declared to the Simplifier, |
382 |
and as the basic rule context as ``\hyperlink{attribute.intro}{\mbox{\isa{intro}}}\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}}''. |
|
383 |
The rule is called \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}equality{\isaliteral{22}{\isachardoublequote}}}. |
|
26849 | 384 |
|
385 |
\item Representations of arbitrary record expressions as canonical |
|
26902 | 386 |
constructor terms are provided both in \hyperlink{method.cases}{\mbox{\isa{cases}}} and \hyperlink{method.induct}{\mbox{\isa{induct}}} format (cf.\ the generic proof methods of the same name, |
26849 | 387 |
\secref{sec:cases-induct}). Several variations are available, for |
388 |
fixed records, record schemes, more parts etc. |
|
42123 | 389 |
|
26849 | 390 |
The generic proof methods are sufficiently smart to pick the most |
391 |
sensible rule according to the type of the indicated record |
|
40406 | 392 |
expression: users just need to apply something like ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}cases\ r{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}}'' to a certain proof problem. |
26849 | 393 |
|
40406 | 394 |
\item The derived record operations \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}make{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}fields{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}extend{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}truncate{\isaliteral{22}{\isachardoublequote}}} are \emph{not} |
26849 | 395 |
treated automatically, but usually need to be expanded by hand, |
40406 | 396 |
using the collective fact \isa{{\isaliteral{22}{\isachardoublequote}}t{\isaliteral{2E}{\isachardot}}defs{\isaliteral{22}{\isachardoublequote}}}. |
26849 | 397 |
|
398 |
\end{enumerate}% |
|
399 |
\end{isamarkuptext}% |
|
400 |
\isamarkuptrue% |
|
401 |
% |
|
402 |
\isamarkupsection{Datatypes \label{sec:hol-datatype}% |
|
403 |
} |
|
404 |
\isamarkuptrue% |
|
405 |
% |
|
406 |
\begin{isamarkuptext}% |
|
407 |
\begin{matharray}{rcl} |
|
40406 | 408 |
\indexdef{HOL}{command}{datatype}\hypertarget{command.HOL.datatype}{\hyperlink{command.HOL.datatype}{\mbox{\isa{\isacommand{datatype}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
41396 | 409 |
\indexdef{HOL}{command}{rep\_datatype}\hypertarget{command.HOL.rep-datatype}{\hyperlink{command.HOL.rep-datatype}{\mbox{\isa{\isacommand{rep{\isaliteral{5F}{\isacharunderscore}}datatype}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
26849 | 410 |
\end{matharray} |
411 |
||
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\begin{railoutput} |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.datatype}{\mbox{\isa{\isacommand{datatype}}}}}[] |
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\rail@plus |
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\rail@nont{\isa{dtspec}}[] |
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\rail@nextplus{1} |
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\rail@cterm{\isa{\isakeyword{and}}}[] |
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\rail@endplus |
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\rail@end |
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\rail@begin{3}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.rep-datatype}{\mbox{\isa{\isacommand{rep{\isaliteral{5F}{\isacharunderscore}}datatype}}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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\rail@plus |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@nextplus{2} |
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\rail@endplus |
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\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
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\rail@endbar |
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\rail@plus |
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\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
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\rail@nextplus{1} |
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\rail@endplus |
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\rail@end |
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\rail@begin{2}{\isa{dtspec}} |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.parname}{\mbox{\isa{parname}}}}[] |
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\rail@endbar |
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\rail@nont{\hyperlink{syntax.typespec}{\mbox{\isa{typespec}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.mixfix}{\mbox{\isa{mixfix}}}}[] |
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\rail@endbar |
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\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
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\rail@plus |
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\rail@nont{\isa{cons}}[] |
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\rail@nextplus{1} |
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\rail@cterm{\isa{{\isaliteral{7C}{\isacharbar}}}}[] |
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\rail@endplus |
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\rail@end |
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\rail@begin{2}{\isa{cons}} |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@plus |
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\rail@nextplus{1} |
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\rail@cnont{\hyperlink{syntax.type}{\mbox{\isa{type}}}}[] |
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\rail@endplus |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.mixfix}{\mbox{\isa{mixfix}}}}[] |
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\rail@endbar |
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\rail@end |
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\end{railoutput} |
26849 | 466 |
|
467 |
||
28788 | 468 |
\begin{description} |
26849 | 469 |
|
28788 | 470 |
\item \hyperlink{command.HOL.datatype}{\mbox{\isa{\isacommand{datatype}}}} defines inductive datatypes in |
26849 | 471 |
HOL. |
472 |
||
40406 | 473 |
\item \hyperlink{command.HOL.rep-datatype}{\mbox{\isa{\isacommand{rep{\isaliteral{5F}{\isacharunderscore}}datatype}}}} represents existing types as |
26849 | 474 |
inductive ones, generating the standard infrastructure of derived |
475 |
concepts (primitive recursion etc.). |
|
476 |
||
28788 | 477 |
\end{description} |
26849 | 478 |
|
479 |
The induction and exhaustion theorems generated provide case names |
|
480 |
according to the constructors involved, while parameters are named |
|
481 |
after the types (see also \secref{sec:cases-induct}). |
|
482 |
||
483 |
See \cite{isabelle-HOL} for more details on datatypes, but beware of |
|
484 |
the old-style theory syntax being used there! Apart from proper |
|
485 |
proof methods for case-analysis and induction, there are also |
|
40406 | 486 |
emulations of ML tactics \hyperlink{method.HOL.case-tac}{\mbox{\isa{case{\isaliteral{5F}{\isacharunderscore}}tac}}} and \hyperlink{method.HOL.induct-tac}{\mbox{\isa{induct{\isaliteral{5F}{\isacharunderscore}}tac}}} available, see \secref{sec:hol-induct-tac}; these admit |
26849 | 487 |
to refer directly to the internal structure of subgoals (including |
488 |
internally bound parameters).% |
|
489 |
\end{isamarkuptext}% |
|
490 |
\isamarkuptrue% |
|
491 |
% |
|
41396 | 492 |
\isamarkupsection{Functorial structure of types% |
493 |
} |
|
494 |
\isamarkuptrue% |
|
495 |
% |
|
496 |
\begin{isamarkuptext}% |
|
497 |
\begin{matharray}{rcl} |
|
41506 | 498 |
\indexdef{HOL}{command}{enriched\_type}\hypertarget{command.HOL.enriched-type}{\hyperlink{command.HOL.enriched-type}{\mbox{\isa{\isacommand{enriched{\isaliteral{5F}{\isacharunderscore}}type}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} |
41396 | 499 |
\end{matharray} |
500 |
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\begin{railoutput} |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.enriched-type}{\mbox{\isa{\isacommand{enriched{\isaliteral{5F}{\isacharunderscore}}type}}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}}}[] |
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\rail@endbar |
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\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
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\rail@end |
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511 |
\end{railoutput} |
42617 | 512 |
|
41396 | 513 |
|
514 |
\begin{description} |
|
515 |
||
42617 | 516 |
\item \hyperlink{command.HOL.enriched-type}{\mbox{\isa{\isacommand{enriched{\isaliteral{5F}{\isacharunderscore}}type}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}prefix{\isaliteral{3A}{\isacharcolon}}\ m{\isaliteral{22}{\isachardoublequote}}} allows to |
517 |
prove and register properties about the functorial structure of type |
|
518 |
constructors. These properties then can be used by other packages |
|
519 |
to deal with those type constructors in certain type constructions. |
|
520 |
Characteristic theorems are noted in the current local theory. By |
|
521 |
default, they are prefixed with the base name of the type |
|
522 |
constructor, an explicit prefix can be given alternatively. |
|
41396 | 523 |
|
524 |
The given term \isa{{\isaliteral{22}{\isachardoublequote}}m{\isaliteral{22}{\isachardoublequote}}} is considered as \emph{mapper} for the |
|
525 |
corresponding type constructor and must conform to the following |
|
526 |
type pattern: |
|
527 |
||
528 |
\begin{matharray}{lll} |
|
529 |
\isa{{\isaliteral{22}{\isachardoublequote}}m{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} & |
|
530 |
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E697375623E}{}\isactrlisub k\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{28}{\isacharparenleft}}\isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{29}{\isacharparenright}}\ t\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{28}{\isacharparenleft}}\isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C626574613E}{\isasymbeta}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{29}{\isacharparenright}}\ t{\isaliteral{22}{\isachardoublequote}}} \\ |
|
531 |
\end{matharray} |
|
532 |
||
533 |
\noindent where \isa{t} is the type constructor, \isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{22}{\isachardoublequote}}} and \isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7665633E}{}\isactrlvec {\isaliteral{5C3C626574613E}{\isasymbeta}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{22}{\isachardoublequote}}} are distinct |
|
534 |
type variables free in the local theory and \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}}, |
|
535 |
\ldots, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C7369676D613E}{\isasymsigma}}\isaliteral{5C3C5E697375623E}{}\isactrlisub k{\isaliteral{22}{\isachardoublequote}}} is a subsequence of \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C626574613E}{\isasymbeta}}\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C626574613E}{\isasymbeta}}\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E697375623E}{}\isactrlisub {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}}, \ldots, |
|
536 |
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C626574613E}{\isasymbeta}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C626574613E}{\isasymbeta}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{5C3C616C7068613E}{\isasymalpha}}\isaliteral{5C3C5E697375623E}{}\isactrlisub n{\isaliteral{22}{\isachardoublequote}}}. |
|
537 |
||
538 |
\end{description}% |
|
539 |
\end{isamarkuptext}% |
|
540 |
\isamarkuptrue% |
|
541 |
% |
|
26849 | 542 |
\isamarkupsection{Recursive functions \label{sec:recursion}% |
543 |
} |
|
544 |
\isamarkuptrue% |
|
545 |
% |
|
546 |
\begin{isamarkuptext}% |
|
547 |
\begin{matharray}{rcl} |
|
40406 | 548 |
\indexdef{HOL}{command}{primrec}\hypertarget{command.HOL.primrec}{\hyperlink{command.HOL.primrec}{\mbox{\isa{\isacommand{primrec}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
549 |
\indexdef{HOL}{command}{fun}\hypertarget{command.HOL.fun}{\hyperlink{command.HOL.fun}{\mbox{\isa{\isacommand{fun}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
550 |
\indexdef{HOL}{command}{function}\hypertarget{command.HOL.function}{\hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
551 |
\indexdef{HOL}{command}{termination}\hypertarget{command.HOL.termination}{\hyperlink{command.HOL.termination}{\mbox{\isa{\isacommand{termination}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
26849 | 552 |
\end{matharray} |
553 |
||
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\begin{railoutput} |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.primrec}{\mbox{\isa{\isacommand{primrec}}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.target}{\mbox{\isa{target}}}}[] |
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\rail@endbar |
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\rail@nont{\hyperlink{syntax.fixes}{\mbox{\isa{fixes}}}}[] |
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\rail@term{\isa{\isakeyword{where}}}[] |
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\rail@nont{\isa{equations}}[] |
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\rail@end |
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\rail@begin{4}{\isa{}} |
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\rail@bar |
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\rail@term{\hyperlink{command.HOL.fun}{\mbox{\isa{\isacommand{fun}}}}}[] |
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\rail@nextbar{1} |
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\rail@term{\hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}}}[] |
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\rail@endbar |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.target}{\mbox{\isa{target}}}}[] |
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\rail@endbar |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\isa{functionopts}}[] |
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\rail@endbar |
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\rail@nont{\hyperlink{syntax.fixes}{\mbox{\isa{fixes}}}}[] |
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\rail@cr{3} |
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\rail@term{\isa{\isakeyword{where}}}[] |
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\rail@nont{\isa{equations}}[] |
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\rail@end |
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\rail@begin{3}{\isa{equations}} |
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\rail@plus |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.thmdecl}{\mbox{\isa{thmdecl}}}}[] |
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\rail@endbar |
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\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
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\rail@nextplus{2} |
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\rail@cterm{\isa{{\isaliteral{7C}{\isacharbar}}}}[] |
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\rail@endplus |
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\rail@end |
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\rail@begin{3}{\isa{functionopts}} |
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\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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\rail@plus |
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\rail@bar |
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\rail@term{\isa{sequential}}[] |
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\rail@nextbar{1} |
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\rail@term{\isa{domintros}}[] |
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\rail@endbar |
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\rail@nextplus{2} |
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\rail@cterm{\isa{{\isaliteral{2C}{\isacharcomma}}}}[] |
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\rail@endplus |
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\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
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\rail@end |
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\rail@begin{2}{\isa{}} |
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\rail@term{\hyperlink{command.HOL.termination}{\mbox{\isa{\isacommand{termination}}}}}[] |
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\rail@bar |
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\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
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\rail@endbar |
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\rail@end |
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\end{railoutput} |
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|
26849 | 617 |
|
28788 | 618 |
\begin{description} |
26849 | 619 |
|
28788 | 620 |
\item \hyperlink{command.HOL.primrec}{\mbox{\isa{\isacommand{primrec}}}} defines primitive recursive |
26849 | 621 |
functions over datatypes, see also \cite{isabelle-HOL}. |
622 |
||
28788 | 623 |
\item \hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}} defines functions by general |
26849 | 624 |
wellfounded recursion. A detailed description with examples can be |
625 |
found in \cite{isabelle-function}. The function is specified by a |
|
626 |
set of (possibly conditional) recursive equations with arbitrary |
|
627 |
pattern matching. The command generates proof obligations for the |
|
628 |
completeness and the compatibility of patterns. |
|
629 |
||
630 |
The defined function is considered partial, and the resulting |
|
40406 | 631 |
simplification rules (named \isa{{\isaliteral{22}{\isachardoublequote}}f{\isaliteral{2E}{\isachardot}}psimps{\isaliteral{22}{\isachardoublequote}}}) and induction rule |
632 |
(named \isa{{\isaliteral{22}{\isachardoublequote}}f{\isaliteral{2E}{\isachardot}}pinduct{\isaliteral{22}{\isachardoublequote}}}) are guarded by a generated domain |
|
633 |
predicate \isa{{\isaliteral{22}{\isachardoublequote}}f{\isaliteral{5F}{\isacharunderscore}}dom{\isaliteral{22}{\isachardoublequote}}}. The \hyperlink{command.HOL.termination}{\mbox{\isa{\isacommand{termination}}}} |
|
26849 | 634 |
command can then be used to establish that the function is total. |
635 |
||
40406 | 636 |
\item \hyperlink{command.HOL.fun}{\mbox{\isa{\isacommand{fun}}}} is a shorthand notation for ``\hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}sequential{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}}, followed by automated |
28788 | 637 |
proof attempts regarding pattern matching and termination. See |
638 |
\cite{isabelle-function} for further details. |
|
26849 | 639 |
|
28788 | 640 |
\item \hyperlink{command.HOL.termination}{\mbox{\isa{\isacommand{termination}}}}~\isa{f} commences a |
26849 | 641 |
termination proof for the previously defined function \isa{f}. If |
642 |
this is omitted, the command refers to the most recent function |
|
643 |
definition. After the proof is closed, the recursive equations and |
|
644 |
the induction principle is established. |
|
645 |
||
28788 | 646 |
\end{description} |
26849 | 647 |
|
27452 | 648 |
Recursive definitions introduced by the \hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}} |
649 |
command accommodate |
|
40406 | 650 |
reasoning by induction (cf.\ \secref{sec:cases-induct}): rule \isa{{\isaliteral{22}{\isachardoublequote}}c{\isaliteral{2E}{\isachardot}}induct{\isaliteral{22}{\isachardoublequote}}} (where \isa{c} is the name of the function definition) |
26849 | 651 |
refers to a specific induction rule, with parameters named according |
33857 | 652 |
to the user-specified equations. Cases are numbered (starting from 1). |
653 |
||
654 |
For \hyperlink{command.HOL.primrec}{\mbox{\isa{\isacommand{primrec}}}}, the induction principle coincides |
|
27452 | 655 |
with structural recursion on the datatype the recursion is carried |
656 |
out. |
|
26849 | 657 |
|
658 |
The equations provided by these packages may be referred later as |
|
40406 | 659 |
theorem list \isa{{\isaliteral{22}{\isachardoublequote}}f{\isaliteral{2E}{\isachardot}}simps{\isaliteral{22}{\isachardoublequote}}}, where \isa{f} is the (collective) |
26849 | 660 |
name of the functions defined. Individual equations may be named |
661 |
explicitly as well. |
|
662 |
||
26902 | 663 |
The \hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}} command accepts the following |
26849 | 664 |
options. |
665 |
||
28788 | 666 |
\begin{description} |
26849 | 667 |
|
28788 | 668 |
\item \isa{sequential} enables a preprocessor which disambiguates |
669 |
overlapping patterns by making them mutually disjoint. Earlier |
|
670 |
equations take precedence over later ones. This allows to give the |
|
671 |
specification in a format very similar to functional programming. |
|
672 |
Note that the resulting simplification and induction rules |
|
673 |
correspond to the transformed specification, not the one given |
|
26849 | 674 |
originally. This usually means that each equation given by the user |
36139 | 675 |
may result in several theorems. Also note that this automatic |
26849 | 676 |
transformation only works for ML-style datatype patterns. |
677 |
||
28788 | 678 |
\item \isa{domintros} enables the automated generation of |
26849 | 679 |
introduction rules for the domain predicate. While mostly not |
680 |
needed, they can be helpful in some proofs about partial functions. |
|
681 |
||
28788 | 682 |
\end{description}% |
26849 | 683 |
\end{isamarkuptext}% |
684 |
\isamarkuptrue% |
|
685 |
% |
|
686 |
\isamarkupsubsection{Proof methods related to recursive definitions% |
|
687 |
} |
|
688 |
\isamarkuptrue% |
|
689 |
% |
|
690 |
\begin{isamarkuptext}% |
|
691 |
\begin{matharray}{rcl} |
|
40406 | 692 |
\indexdef{HOL}{method}{pat\_completeness}\hypertarget{method.HOL.pat-completeness}{\hyperlink{method.HOL.pat-completeness}{\mbox{\isa{pat{\isaliteral{5F}{\isacharunderscore}}completeness}}}} & : & \isa{method} \\ |
28788 | 693 |
\indexdef{HOL}{method}{relation}\hypertarget{method.HOL.relation}{\hyperlink{method.HOL.relation}{\mbox{\isa{relation}}}} & : & \isa{method} \\ |
40406 | 694 |
\indexdef{HOL}{method}{lexicographic\_order}\hypertarget{method.HOL.lexicographic-order}{\hyperlink{method.HOL.lexicographic-order}{\mbox{\isa{lexicographic{\isaliteral{5F}{\isacharunderscore}}order}}}} & : & \isa{method} \\ |
695 |
\indexdef{HOL}{method}{size\_change}\hypertarget{method.HOL.size-change}{\hyperlink{method.HOL.size-change}{\mbox{\isa{size{\isaliteral{5F}{\isacharunderscore}}change}}}} & : & \isa{method} \\ |
|
26849 | 696 |
\end{matharray} |
697 |
||
42596
6c621a9d612a
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wenzelm
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diff
changeset
|
698 |
\begin{railoutput} |
6c621a9d612a
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parents:
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diff
changeset
|
699 |
\rail@begin{1}{\isa{}} |
6c621a9d612a
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wenzelm
parents:
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changeset
|
700 |
\rail@term{\hyperlink{method.HOL.relation}{\mbox{\isa{relation}}}}[] |
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parents:
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changeset
|
701 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
702 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
703 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
704 |
\rail@term{\hyperlink{method.HOL.lexicographic-order}{\mbox{\isa{lexicographic{\isaliteral{5F}{\isacharunderscore}}order}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
705 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
706 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
707 |
\rail@cnont{\hyperlink{syntax.clasimpmod}{\mbox{\isa{clasimpmod}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
708 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
709 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
710 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
711 |
\rail@term{\hyperlink{method.HOL.size-change}{\mbox{\isa{size{\isaliteral{5F}{\isacharunderscore}}change}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
712 |
\rail@nont{\isa{orders}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
713 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
714 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
715 |
\rail@cnont{\hyperlink{syntax.clasimpmod}{\mbox{\isa{clasimpmod}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
716 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
717 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
718 |
\rail@begin{4}{\isa{orders}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
719 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
720 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
721 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
722 |
\rail@term{\isa{max}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
723 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
724 |
\rail@term{\isa{min}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
725 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
726 |
\rail@term{\isa{ms}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
727 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
728 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
729 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
730 |
\end{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
731 |
|
26849 | 732 |
|
28788 | 733 |
\begin{description} |
26849 | 734 |
|
40406 | 735 |
\item \hyperlink{method.HOL.pat-completeness}{\mbox{\isa{pat{\isaliteral{5F}{\isacharunderscore}}completeness}}} is a specialized method to |
26849 | 736 |
solve goals regarding the completeness of pattern matching, as |
26902 | 737 |
required by the \hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}} package (cf.\ |
26849 | 738 |
\cite{isabelle-function}). |
739 |
||
28788 | 740 |
\item \hyperlink{method.HOL.relation}{\mbox{\isa{relation}}}~\isa{R} introduces a termination |
26849 | 741 |
proof using the relation \isa{R}. The resulting proof state will |
742 |
contain goals expressing that \isa{R} is wellfounded, and that the |
|
743 |
arguments of recursive calls decrease with respect to \isa{R}. |
|
744 |
Usually, this method is used as the initial proof step of manual |
|
745 |
termination proofs. |
|
746 |
||
40406 | 747 |
\item \hyperlink{method.HOL.lexicographic-order}{\mbox{\isa{lexicographic{\isaliteral{5F}{\isacharunderscore}}order}}} attempts a fully |
26849 | 748 |
automated termination proof by searching for a lexicographic |
749 |
combination of size measures on the arguments of the function. The |
|
26902 | 750 |
method accepts the same arguments as the \hyperlink{method.auto}{\mbox{\isa{auto}}} method, |
26849 | 751 |
which it uses internally to prove local descents. The same context |
26902 | 752 |
modifiers as for \hyperlink{method.auto}{\mbox{\isa{auto}}} are accepted, see |
26849 | 753 |
\secref{sec:clasimp}. |
754 |
||
755 |
In case of failure, extensive information is printed, which can help |
|
756 |
to analyse the situation (cf.\ \cite{isabelle-function}). |
|
757 |
||
40406 | 758 |
\item \hyperlink{method.HOL.size-change}{\mbox{\isa{size{\isaliteral{5F}{\isacharunderscore}}change}}} also works on termination goals, |
33858 | 759 |
using a variation of the size-change principle, together with a |
760 |
graph decomposition technique (see \cite{krauss_phd} for details). |
|
761 |
Three kinds of orders are used internally: \isa{max}, \isa{min}, |
|
762 |
and \isa{ms} (multiset), which is only available when the theory |
|
763 |
\isa{Multiset} is loaded. When no order kinds are given, they are |
|
764 |
tried in order. The search for a termination proof uses SAT solving |
|
765 |
internally. |
|
766 |
||
767 |
For local descent proofs, the same context modifiers as for \hyperlink{method.auto}{\mbox{\isa{auto}}} are accepted, see \secref{sec:clasimp}. |
|
768 |
||
28788 | 769 |
\end{description}% |
26849 | 770 |
\end{isamarkuptext}% |
771 |
\isamarkuptrue% |
|
772 |
% |
|
40171 | 773 |
\isamarkupsubsection{Functions with explicit partiality% |
774 |
} |
|
775 |
\isamarkuptrue% |
|
776 |
% |
|
777 |
\begin{isamarkuptext}% |
|
778 |
\begin{matharray}{rcl} |
|
40406 | 779 |
\indexdef{HOL}{command}{partial\_function}\hypertarget{command.HOL.partial-function}{\hyperlink{command.HOL.partial-function}{\mbox{\isa{\isacommand{partial{\isaliteral{5F}{\isacharunderscore}}function}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
780 |
\indexdef{HOL}{attribute}{partial\_function\_mono}\hypertarget{attribute.HOL.partial-function-mono}{\hyperlink{attribute.HOL.partial-function-mono}{\mbox{\isa{partial{\isaliteral{5F}{\isacharunderscore}}function{\isaliteral{5F}{\isacharunderscore}}mono}}}} & : & \isa{attribute} \\ |
|
40171 | 781 |
\end{matharray} |
782 |
||
42596
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
783 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
784 |
\rail@begin{5}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
785 |
\rail@term{\hyperlink{command.HOL.partial-function}{\mbox{\isa{\isacommand{partial{\isaliteral{5F}{\isacharunderscore}}function}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
786 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
787 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
788 |
\rail@nont{\hyperlink{syntax.target}{\mbox{\isa{target}}}}[] |
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
789 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
790 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
42617 | 791 |
\rail@nont{\hyperlink{syntax.nameref}{\mbox{\isa{nameref}}}}[] |
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
792 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
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parents:
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changeset
|
793 |
\rail@nont{\hyperlink{syntax.fixes}{\mbox{\isa{fixes}}}}[] |
6c621a9d612a
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wenzelm
parents:
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changeset
|
794 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
795 |
\rail@term{\isa{\isakeyword{where}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
796 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
797 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
798 |
\rail@nont{\hyperlink{syntax.thmdecl}{\mbox{\isa{thmdecl}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
799 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
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changeset
|
800 |
\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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|
801 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
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changeset
|
802 |
\end{railoutput} |
42617 | 803 |
|
40171 | 804 |
|
805 |
\begin{description} |
|
806 |
||
42617 | 807 |
\item \hyperlink{command.HOL.partial-function}{\mbox{\isa{\isacommand{partial{\isaliteral{5F}{\isacharunderscore}}function}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}mode{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} defines |
808 |
recursive functions based on fixpoints in complete partial |
|
809 |
orders. No termination proof is required from the user or |
|
810 |
constructed internally. Instead, the possibility of non-termination |
|
811 |
is modelled explicitly in the result type, which contains an |
|
812 |
explicit bottom element. |
|
40171 | 813 |
|
814 |
Pattern matching and mutual recursion are currently not supported. |
|
815 |
Thus, the specification consists of a single function described by a |
|
816 |
single recursive equation. |
|
817 |
||
818 |
There are no fixed syntactic restrictions on the body of the |
|
819 |
function, but the induced functional must be provably monotonic |
|
820 |
wrt.\ the underlying order. The monotonicitity proof is performed |
|
821 |
internally, and the definition is rejected when it fails. The proof |
|
822 |
can be influenced by declaring hints using the |
|
40406 | 823 |
\hyperlink{attribute.HOL.partial-function-mono}{\mbox{\isa{partial{\isaliteral{5F}{\isacharunderscore}}function{\isaliteral{5F}{\isacharunderscore}}mono}}} attribute. |
40171 | 824 |
|
825 |
The mandatory \isa{mode} argument specifies the mode of operation |
|
826 |
of the command, which directly corresponds to a complete partial |
|
827 |
order on the result type. By default, the following modes are |
|
42123 | 828 |
defined: |
40171 | 829 |
|
830 |
\begin{description} |
|
831 |
\item \isa{option} defines functions that map into the \isa{option} type. Here, the value \isa{None} is used to model a |
|
832 |
non-terminating computation. Monotonicity requires that if \isa{None} is returned by a recursive call, then the overall result |
|
833 |
must also be \isa{None}. This is best achieved through the use of |
|
40406 | 834 |
the monadic operator \isa{{\isaliteral{22}{\isachardoublequote}}Option{\isaliteral{2E}{\isachardot}}bind{\isaliteral{22}{\isachardoublequote}}}. |
42123 | 835 |
|
40171 | 836 |
\item \isa{tailrec} defines functions with an arbitrary result |
40406 | 837 |
type and uses the slightly degenerated partial order where \isa{{\isaliteral{22}{\isachardoublequote}}undefined{\isaliteral{22}{\isachardoublequote}}} is the bottom element. Now, monotonicity requires that |
40171 | 838 |
if \isa{undefined} is returned by a recursive call, then the |
839 |
overall result must also be \isa{undefined}. In practice, this is |
|
840 |
only satisfied when each recursive call is a tail call, whose result |
|
841 |
is directly returned. Thus, this mode of operation allows the |
|
842 |
definition of arbitrary tail-recursive functions. |
|
843 |
\end{description} |
|
844 |
||
845 |
Experienced users may define new modes by instantiating the locale |
|
40406 | 846 |
\isa{{\isaliteral{22}{\isachardoublequote}}partial{\isaliteral{5F}{\isacharunderscore}}function{\isaliteral{5F}{\isacharunderscore}}definitions{\isaliteral{22}{\isachardoublequote}}} appropriately. |
40171 | 847 |
|
40406 | 848 |
\item \hyperlink{attribute.HOL.partial-function-mono}{\mbox{\isa{partial{\isaliteral{5F}{\isacharunderscore}}function{\isaliteral{5F}{\isacharunderscore}}mono}}} declares rules for |
40171 | 849 |
use in the internal monononicity proofs of partial function |
850 |
definitions. |
|
851 |
||
852 |
\end{description}% |
|
853 |
\end{isamarkuptext}% |
|
854 |
\isamarkuptrue% |
|
855 |
% |
|
26849 | 856 |
\isamarkupsubsection{Old-style recursive function definitions (TFL)% |
857 |
} |
|
858 |
\isamarkuptrue% |
|
859 |
% |
|
860 |
\begin{isamarkuptext}% |
|
40406 | 861 |
The old TFL commands \hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}} and \hyperlink{command.HOL.recdef-tc}{\mbox{\isa{\isacommand{recdef{\isaliteral{5F}{\isacharunderscore}}tc}}}} for defining recursive are mostly obsolete; \hyperlink{command.HOL.function}{\mbox{\isa{\isacommand{function}}}} or \hyperlink{command.HOL.fun}{\mbox{\isa{\isacommand{fun}}}} should be used instead. |
26849 | 862 |
|
863 |
\begin{matharray}{rcl} |
|
40406 | 864 |
\indexdef{HOL}{command}{recdef}\hypertarget{command.HOL.recdef}{\hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
865 |
\indexdef{HOL}{command}{recdef\_tc}\hypertarget{command.HOL.recdef-tc}{\hyperlink{command.HOL.recdef-tc}{\mbox{\isa{\isacommand{recdef{\isaliteral{5F}{\isacharunderscore}}tc}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
26849 | 866 |
\end{matharray} |
867 |
||
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
868 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
869 |
\rail@begin{5}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
870 |
\rail@term{\hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
871 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
872 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
873 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
874 |
\rail@term{\isa{\isakeyword{permissive}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
875 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
876 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
877 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
878 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
879 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
880 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
881 |
\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
882 |
\rail@nextplus{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
883 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
884 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
885 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
886 |
\rail@nont{\isa{hints}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
887 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
888 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
889 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
890 |
\rail@nont{\isa{recdeftc}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
891 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
892 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
893 |
\rail@nont{\hyperlink{syntax.thmdecl}{\mbox{\isa{thmdecl}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
894 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
895 |
\rail@nont{\isa{tc}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
896 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
897 |
\rail@begin{2}{\isa{hints}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
898 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
899 |
\rail@term{\isa{\isakeyword{hints}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
900 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
901 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
902 |
\rail@cnont{\isa{recdefmod}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
903 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
904 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
905 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
906 |
\rail@begin{4}{\isa{recdefmod}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
907 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
908 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
909 |
\rail@term{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}simp}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
910 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
911 |
\rail@term{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}cong}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
912 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
913 |
\rail@term{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}wf}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
914 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
915 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
916 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
917 |
\rail@term{\isa{add}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
918 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
919 |
\rail@term{\isa{del}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
920 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
921 |
\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
922 |
\rail@nont{\hyperlink{syntax.thmrefs}{\mbox{\isa{thmrefs}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
923 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
924 |
\rail@nont{\hyperlink{syntax.clasimpmod}{\mbox{\isa{clasimpmod}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
925 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
926 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
927 |
\rail@begin{2}{\isa{tc}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
928 |
\rail@nont{\hyperlink{syntax.nameref}{\mbox{\isa{nameref}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
929 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
930 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
931 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
932 |
\rail@nont{\hyperlink{syntax.nat}{\mbox{\isa{nat}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
933 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
934 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
935 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
936 |
\end{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
937 |
|
26849 | 938 |
|
28788 | 939 |
\begin{description} |
42123 | 940 |
|
28788 | 941 |
\item \hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}} defines general well-founded |
26849 | 942 |
recursive functions (using the TFL package), see also |
40406 | 943 |
\cite{isabelle-HOL}. The ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}permissive{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}}'' option tells |
26849 | 944 |
TFL to recover from failed proof attempts, returning unfinished |
40406 | 945 |
results. The \isa{recdef{\isaliteral{5F}{\isacharunderscore}}simp}, \isa{recdef{\isaliteral{5F}{\isacharunderscore}}cong}, and \isa{recdef{\isaliteral{5F}{\isacharunderscore}}wf} hints refer to auxiliary rules to be used in the internal |
26902 | 946 |
automated proof process of TFL. Additional \hyperlink{syntax.clasimpmod}{\mbox{\isa{clasimpmod}}} |
26849 | 947 |
declarations (cf.\ \secref{sec:clasimp}) may be given to tune the |
948 |
context of the Simplifier (cf.\ \secref{sec:simplifier}) and |
|
949 |
Classical reasoner (cf.\ \secref{sec:classical}). |
|
42123 | 950 |
|
40406 | 951 |
\item \hyperlink{command.HOL.recdef-tc}{\mbox{\isa{\isacommand{recdef{\isaliteral{5F}{\isacharunderscore}}tc}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}c\ {\isaliteral{28}{\isacharparenleft}}i{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} recommences the |
26849 | 952 |
proof for leftover termination condition number \isa{i} (default |
26902 | 953 |
1) as generated by a \hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}} definition of |
26849 | 954 |
constant \isa{c}. |
42123 | 955 |
|
26902 | 956 |
Note that in most cases, \hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}} is able to finish |
26849 | 957 |
its internal proofs without manual intervention. |
958 |
||
28788 | 959 |
\end{description} |
26849 | 960 |
|
26902 | 961 |
\medskip Hints for \hyperlink{command.HOL.recdef}{\mbox{\isa{\isacommand{recdef}}}} may be also declared |
26849 | 962 |
globally, using the following attributes. |
963 |
||
964 |
\begin{matharray}{rcl} |
|
40406 | 965 |
\indexdef{HOL}{attribute}{recdef\_simp}\hypertarget{attribute.HOL.recdef-simp}{\hyperlink{attribute.HOL.recdef-simp}{\mbox{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}simp}}}} & : & \isa{attribute} \\ |
966 |
\indexdef{HOL}{attribute}{recdef\_cong}\hypertarget{attribute.HOL.recdef-cong}{\hyperlink{attribute.HOL.recdef-cong}{\mbox{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}cong}}}} & : & \isa{attribute} \\ |
|
967 |
\indexdef{HOL}{attribute}{recdef\_wf}\hypertarget{attribute.HOL.recdef-wf}{\hyperlink{attribute.HOL.recdef-wf}{\mbox{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}wf}}}} & : & \isa{attribute} \\ |
|
26849 | 968 |
\end{matharray} |
969 |
||
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
970 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
971 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
972 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
973 |
\rail@term{\hyperlink{attribute.HOL.recdef-simp}{\mbox{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}simp}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
974 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
975 |
\rail@term{\hyperlink{attribute.HOL.recdef-cong}{\mbox{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}cong}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
976 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
977 |
\rail@term{\hyperlink{attribute.HOL.recdef-wf}{\mbox{\isa{recdef{\isaliteral{5F}{\isacharunderscore}}wf}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
978 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
979 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
980 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
981 |
\rail@term{\isa{add}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
982 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
983 |
\rail@term{\isa{del}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
984 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
985 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
986 |
\end{railoutput}% |
26849 | 987 |
\end{isamarkuptext}% |
988 |
\isamarkuptrue% |
|
989 |
% |
|
990 |
\isamarkupsection{Inductive and coinductive definitions \label{sec:hol-inductive}% |
|
991 |
} |
|
992 |
\isamarkuptrue% |
|
993 |
% |
|
994 |
\begin{isamarkuptext}% |
|
995 |
An \textbf{inductive definition} specifies the least predicate (or |
|
996 |
set) \isa{R} closed under given rules: applying a rule to elements |
|
997 |
of \isa{R} yields a result within \isa{R}. For example, a |
|
998 |
structural operational semantics is an inductive definition of an |
|
999 |
evaluation relation. |
|
1000 |
||
1001 |
Dually, a \textbf{coinductive definition} specifies the greatest |
|
1002 |
predicate~/ set \isa{R} that is consistent with given rules: every |
|
1003 |
element of \isa{R} can be seen as arising by applying a rule to |
|
1004 |
elements of \isa{R}. An important example is using bisimulation |
|
1005 |
relations to formalise equivalence of processes and infinite data |
|
1006 |
structures. |
|
1007 |
||
1008 |
\medskip The HOL package is related to the ZF one, which is |
|
1009 |
described in a separate paper,\footnote{It appeared in CADE |
|
1010 |
\cite{paulson-CADE}; a longer version is distributed with Isabelle.} |
|
1011 |
which you should refer to in case of difficulties. The package is |
|
1012 |
simpler than that of ZF thanks to implicit type-checking in HOL. |
|
1013 |
The types of the (co)inductive predicates (or sets) determine the |
|
1014 |
domain of the fixedpoint definition, and the package does not have |
|
1015 |
to use inference rules for type-checking. |
|
1016 |
||
1017 |
\begin{matharray}{rcl} |
|
40406 | 1018 |
\indexdef{HOL}{command}{inductive}\hypertarget{command.HOL.inductive}{\hyperlink{command.HOL.inductive}{\mbox{\isa{\isacommand{inductive}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
1019 |
\indexdef{HOL}{command}{inductive\_set}\hypertarget{command.HOL.inductive-set}{\hyperlink{command.HOL.inductive-set}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}set}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1020 |
\indexdef{HOL}{command}{coinductive}\hypertarget{command.HOL.coinductive}{\hyperlink{command.HOL.coinductive}{\mbox{\isa{\isacommand{coinductive}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1021 |
\indexdef{HOL}{command}{coinductive\_set}\hypertarget{command.HOL.coinductive-set}{\hyperlink{command.HOL.coinductive-set}{\mbox{\isa{\isacommand{coinductive{\isaliteral{5F}{\isacharunderscore}}set}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
28788 | 1022 |
\indexdef{HOL}{attribute}{mono}\hypertarget{attribute.HOL.mono}{\hyperlink{attribute.HOL.mono}{\mbox{\isa{mono}}}} & : & \isa{attribute} \\ |
26849 | 1023 |
\end{matharray} |
1024 |
||
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1025 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1026 |
\rail@begin{7}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1027 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1028 |
\rail@term{\hyperlink{command.HOL.inductive}{\mbox{\isa{\isacommand{inductive}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1029 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1030 |
\rail@term{\hyperlink{command.HOL.inductive-set}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}set}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1031 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1032 |
\rail@term{\hyperlink{command.HOL.coinductive}{\mbox{\isa{\isacommand{coinductive}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1033 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1034 |
\rail@term{\hyperlink{command.HOL.coinductive-set}{\mbox{\isa{\isacommand{coinductive{\isaliteral{5F}{\isacharunderscore}}set}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1035 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1036 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1037 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1038 |
\rail@nont{\hyperlink{syntax.target}{\mbox{\isa{target}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1039 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1040 |
\rail@nont{\hyperlink{syntax.fixes}{\mbox{\isa{fixes}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1041 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1042 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1043 |
\rail@term{\isa{\isakeyword{for}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1044 |
\rail@nont{\hyperlink{syntax.fixes}{\mbox{\isa{fixes}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1045 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1046 |
\rail@cr{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1047 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1048 |
\rail@nextbar{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1049 |
\rail@term{\isa{\isakeyword{where}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1050 |
\rail@nont{\isa{clauses}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1051 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1052 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1053 |
\rail@nextbar{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1054 |
\rail@term{\isa{\isakeyword{monos}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1055 |
\rail@nont{\hyperlink{syntax.thmrefs}{\mbox{\isa{thmrefs}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1056 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1057 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1058 |
\rail@begin{3}{\isa{clauses}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1059 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1060 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1061 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1062 |
\rail@nont{\hyperlink{syntax.thmdecl}{\mbox{\isa{thmdecl}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1063 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1064 |
\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1065 |
\rail@nextplus{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1066 |
\rail@cterm{\isa{{\isaliteral{7C}{\isacharbar}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1067 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1068 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1069 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1070 |
\rail@term{\hyperlink{attribute.HOL.mono}{\mbox{\isa{mono}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1071 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1072 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1073 |
\rail@term{\isa{add}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1074 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1075 |
\rail@term{\isa{del}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1076 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1077 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1078 |
\end{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1079 |
|
26849 | 1080 |
|
28788 | 1081 |
\begin{description} |
26849 | 1082 |
|
28788 | 1083 |
\item \hyperlink{command.HOL.inductive}{\mbox{\isa{\isacommand{inductive}}}} and \hyperlink{command.HOL.coinductive}{\mbox{\isa{\isacommand{coinductive}}}} define (co)inductive predicates from the |
26902 | 1084 |
introduction rules given in the \hyperlink{keyword.where}{\mbox{\isa{\isakeyword{where}}}} part. The |
1085 |
optional \hyperlink{keyword.for}{\mbox{\isa{\isakeyword{for}}}} part contains a list of parameters of the |
|
26849 | 1086 |
(co)inductive predicates that remain fixed throughout the |
26902 | 1087 |
definition. The optional \hyperlink{keyword.monos}{\mbox{\isa{\isakeyword{monos}}}} section contains |
26849 | 1088 |
\emph{monotonicity theorems}, which are required for each operator |
1089 |
applied to a recursive set in the introduction rules. There |
|
40406 | 1090 |
\emph{must} be a theorem of the form \isa{{\isaliteral{22}{\isachardoublequote}}A\ {\isaliteral{5C3C6C653E}{\isasymle}}\ B\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ M\ A\ {\isaliteral{5C3C6C653E}{\isasymle}}\ M\ B{\isaliteral{22}{\isachardoublequote}}}, |
1091 |
for each premise \isa{{\isaliteral{22}{\isachardoublequote}}M\ R\isaliteral{5C3C5E7375623E}{}\isactrlsub i\ t{\isaliteral{22}{\isachardoublequote}}} in an introduction rule! |
|
26849 | 1092 |
|
40406 | 1093 |
\item \hyperlink{command.HOL.inductive-set}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}set}}}} and \hyperlink{command.HOL.coinductive-set}{\mbox{\isa{\isacommand{coinductive{\isaliteral{5F}{\isacharunderscore}}set}}}} are wrappers for to the previous commands, |
26849 | 1094 |
allowing the definition of (co)inductive sets. |
1095 |
||
28788 | 1096 |
\item \hyperlink{attribute.HOL.mono}{\mbox{\isa{mono}}} declares monotonicity rules. These |
26902 | 1097 |
rule are involved in the automated monotonicity proof of \hyperlink{command.HOL.inductive}{\mbox{\isa{\isacommand{inductive}}}}. |
26849 | 1098 |
|
28788 | 1099 |
\end{description}% |
26849 | 1100 |
\end{isamarkuptext}% |
1101 |
\isamarkuptrue% |
|
1102 |
% |
|
1103 |
\isamarkupsubsection{Derived rules% |
|
1104 |
} |
|
1105 |
\isamarkuptrue% |
|
1106 |
% |
|
1107 |
\begin{isamarkuptext}% |
|
1108 |
Each (co)inductive definition \isa{R} adds definitions to the |
|
1109 |
theory and also proves some theorems: |
|
1110 |
||
1111 |
\begin{description} |
|
1112 |
||
40406 | 1113 |
\item \isa{R{\isaliteral{2E}{\isachardot}}intros} is the list of introduction rules as proven |
26849 | 1114 |
theorems, for the recursive predicates (or sets). The rules are |
1115 |
also available individually, using the names given them in the |
|
1116 |
theory file; |
|
1117 |
||
40406 | 1118 |
\item \isa{R{\isaliteral{2E}{\isachardot}}cases} is the case analysis (or elimination) rule; |
26849 | 1119 |
|
40406 | 1120 |
\item \isa{R{\isaliteral{2E}{\isachardot}}induct} or \isa{R{\isaliteral{2E}{\isachardot}}coinduct} is the (co)induction |
26849 | 1121 |
rule. |
1122 |
||
1123 |
\end{description} |
|
1124 |
||
40406 | 1125 |
When several predicates \isa{{\isaliteral{22}{\isachardoublequote}}R\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ R\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{22}{\isachardoublequote}}} are |
26849 | 1126 |
defined simultaneously, the list of introduction rules is called |
40406 | 1127 |
\isa{{\isaliteral{22}{\isachardoublequote}}R\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5F}{\isacharunderscore}}R\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{2E}{\isachardot}}intros{\isaliteral{22}{\isachardoublequote}}}, the case analysis rules are |
1128 |
called \isa{{\isaliteral{22}{\isachardoublequote}}R\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2E}{\isachardot}}cases{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ R\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{2E}{\isachardot}}cases{\isaliteral{22}{\isachardoublequote}}}, and the list |
|
1129 |
of mutual induction rules is called \isa{{\isaliteral{22}{\isachardoublequote}}R\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5F}{\isacharunderscore}}R\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{2E}{\isachardot}}inducts{\isaliteral{22}{\isachardoublequote}}}.% |
|
26849 | 1130 |
\end{isamarkuptext}% |
1131 |
\isamarkuptrue% |
|
1132 |
% |
|
1133 |
\isamarkupsubsection{Monotonicity theorems% |
|
1134 |
} |
|
1135 |
\isamarkuptrue% |
|
1136 |
% |
|
1137 |
\begin{isamarkuptext}% |
|
1138 |
Each theory contains a default set of theorems that are used in |
|
1139 |
monotonicity proofs. New rules can be added to this set via the |
|
26902 | 1140 |
\hyperlink{attribute.HOL.mono}{\mbox{\isa{mono}}} attribute. The HOL theory \isa{Inductive} |
26849 | 1141 |
shows how this is done. In general, the following monotonicity |
1142 |
theorems may be added: |
|
1143 |
||
1144 |
\begin{itemize} |
|
1145 |
||
40406 | 1146 |
\item Theorems of the form \isa{{\isaliteral{22}{\isachardoublequote}}A\ {\isaliteral{5C3C6C653E}{\isasymle}}\ B\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ M\ A\ {\isaliteral{5C3C6C653E}{\isasymle}}\ M\ B{\isaliteral{22}{\isachardoublequote}}}, for proving |
26849 | 1147 |
monotonicity of inductive definitions whose introduction rules have |
40406 | 1148 |
premises involving terms such as \isa{{\isaliteral{22}{\isachardoublequote}}M\ R\isaliteral{5C3C5E7375623E}{}\isactrlsub i\ t{\isaliteral{22}{\isachardoublequote}}}. |
26849 | 1149 |
|
1150 |
\item Monotonicity theorems for logical operators, which are of the |
|
40406 | 1151 |
general form \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C4C6F6E6772696768746172726F773E}{\isasymLongrightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}}. For example, in |
1152 |
the case of the operator \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6F723E}{\isasymor}}{\isaliteral{22}{\isachardoublequote}}}, the corresponding theorem is |
|
26849 | 1153 |
\[ |
40406 | 1154 |
\infer{\isa{{\isaliteral{22}{\isachardoublequote}}P\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C6F723E}{\isasymor}}\ P\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ Q\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C6F723E}{\isasymor}}\ Q\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}}}{\isa{{\isaliteral{22}{\isachardoublequote}}P\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ Q\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}P\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ Q\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}}} |
26849 | 1155 |
\] |
1156 |
||
1157 |
\item De Morgan style equations for reasoning about the ``polarity'' |
|
1158 |
of expressions, e.g. |
|
1159 |
\[ |
|
40406 | 1160 |
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6E6F743E}{\isasymnot}}\ {\isaliteral{5C3C6E6F743E}{\isasymnot}}\ P\ {\isaliteral{5C3C6C6F6E676C65667472696768746172726F773E}{\isasymlongleftrightarrow}}\ P{\isaliteral{22}{\isachardoublequote}}} \qquad\qquad |
1161 |
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6E6F743E}{\isasymnot}}\ {\isaliteral{28}{\isacharparenleft}}P\ {\isaliteral{5C3C616E643E}{\isasymand}}\ Q{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C6C6F6E676C65667472696768746172726F773E}{\isasymlongleftrightarrow}}\ {\isaliteral{5C3C6E6F743E}{\isasymnot}}\ P\ {\isaliteral{5C3C6F723E}{\isasymor}}\ {\isaliteral{5C3C6E6F743E}{\isasymnot}}\ Q{\isaliteral{22}{\isachardoublequote}}} |
|
26849 | 1162 |
\] |
1163 |
||
1164 |
\item Equations for reducing complex operators to more primitive |
|
1165 |
ones whose monotonicity can easily be proved, e.g. |
|
1166 |
\[ |
|
40406 | 1167 |
\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}P\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ Q{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C6C6F6E676C65667472696768746172726F773E}{\isasymlongleftrightarrow}}\ {\isaliteral{5C3C6E6F743E}{\isasymnot}}\ P\ {\isaliteral{5C3C6F723E}{\isasymor}}\ Q{\isaliteral{22}{\isachardoublequote}}} \qquad\qquad |
1168 |
\isa{{\isaliteral{22}{\isachardoublequote}}Ball\ A\ P\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ {\isaliteral{5C3C666F72616C6C3E}{\isasymforall}}x{\isaliteral{2E}{\isachardot}}\ x\ {\isaliteral{5C3C696E3E}{\isasymin}}\ A\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ P\ x{\isaliteral{22}{\isachardoublequote}}} |
|
26849 | 1169 |
\] |
1170 |
||
1171 |
\end{itemize} |
|
1172 |
||
1173 |
%FIXME: Example of an inductive definition% |
|
1174 |
\end{isamarkuptext}% |
|
1175 |
\isamarkuptrue% |
|
1176 |
% |
|
1177 |
\isamarkupsection{Arithmetic proof support% |
|
1178 |
} |
|
1179 |
\isamarkuptrue% |
|
1180 |
% |
|
1181 |
\begin{isamarkuptext}% |
|
1182 |
\begin{matharray}{rcl} |
|
28788 | 1183 |
\indexdef{HOL}{method}{arith}\hypertarget{method.HOL.arith}{\hyperlink{method.HOL.arith}{\mbox{\isa{arith}}}} & : & \isa{method} \\ |
30863 | 1184 |
\indexdef{HOL}{attribute}{arith}\hypertarget{attribute.HOL.arith}{\hyperlink{attribute.HOL.arith}{\mbox{\isa{arith}}}} & : & \isa{attribute} \\ |
40406 | 1185 |
\indexdef{HOL}{attribute}{arith\_split}\hypertarget{attribute.HOL.arith-split}{\hyperlink{attribute.HOL.arith-split}{\mbox{\isa{arith{\isaliteral{5F}{\isacharunderscore}}split}}}} & : & \isa{attribute} \\ |
26849 | 1186 |
\end{matharray} |
1187 |
||
26902 | 1188 |
The \hyperlink{method.HOL.arith}{\mbox{\isa{arith}}} method decides linear arithmetic problems |
26849 | 1189 |
(on types \isa{nat}, \isa{int}, \isa{real}). Any current |
1190 |
facts are inserted into the goal before running the procedure. |
|
1191 |
||
30863 | 1192 |
The \hyperlink{attribute.HOL.arith}{\mbox{\isa{arith}}} attribute declares facts that are |
1193 |
always supplied to the arithmetic provers implicitly. |
|
26849 | 1194 |
|
40406 | 1195 |
The \hyperlink{attribute.HOL.arith-split}{\mbox{\isa{arith{\isaliteral{5F}{\isacharunderscore}}split}}} attribute declares case split |
30865 | 1196 |
rules to be expanded before \hyperlink{method.HOL.arith}{\mbox{\isa{arith}}} is invoked. |
30863 | 1197 |
|
1198 |
Note that a simpler (but faster) arithmetic prover is |
|
1199 |
already invoked by the Simplifier.% |
|
26849 | 1200 |
\end{isamarkuptext}% |
1201 |
\isamarkuptrue% |
|
1202 |
% |
|
30172 | 1203 |
\isamarkupsection{Intuitionistic proof search% |
1204 |
} |
|
1205 |
\isamarkuptrue% |
|
1206 |
% |
|
1207 |
\begin{isamarkuptext}% |
|
1208 |
\begin{matharray}{rcl} |
|
1209 |
\indexdef{HOL}{method}{iprover}\hypertarget{method.HOL.iprover}{\hyperlink{method.HOL.iprover}{\mbox{\isa{iprover}}}} & : & \isa{method} \\ |
|
1210 |
\end{matharray} |
|
1211 |
||
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|
1212 |
\begin{railoutput} |
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|
1213 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
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|
1214 |
\rail@term{\hyperlink{method.HOL.iprover}{\mbox{\isa{iprover}}}}[] |
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|
1215 |
\rail@plus |
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parents:
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changeset
|
1216 |
\rail@nextplus{1} |
6c621a9d612a
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changeset
|
1217 |
\rail@cnont{\hyperlink{syntax.rulemod}{\mbox{\isa{rulemod}}}}[] |
6c621a9d612a
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|
1218 |
\rail@endplus |
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changeset
|
1219 |
\rail@end |
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|
1220 |
\end{railoutput} |
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changeset
|
1221 |
|
30172 | 1222 |
|
1223 |
The \hyperlink{method.HOL.iprover}{\mbox{\isa{iprover}}} method performs intuitionistic proof |
|
1224 |
search, depending on specifically declared rules from the context, |
|
1225 |
or given as explicit arguments. Chained facts are inserted into the |
|
35613 | 1226 |
goal before commencing proof search. |
1227 |
||
30172 | 1228 |
Rules need to be classified as \hyperlink{attribute.Pure.intro}{\mbox{\isa{intro}}}, |
1229 |
\hyperlink{attribute.Pure.elim}{\mbox{\isa{elim}}}, or \hyperlink{attribute.Pure.dest}{\mbox{\isa{dest}}}; here the |
|
40406 | 1230 |
``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{21}{\isacharbang}}{\isaliteral{22}{\isachardoublequote}}}'' indicator refers to ``safe'' rules, which may be |
30172 | 1231 |
applied aggressively (without considering back-tracking later). |
40406 | 1232 |
Rules declared with ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}}'' are ignored in proof search (the |
42626 | 1233 |
single-step \hyperlink{method.Pure.rule}{\mbox{\isa{rule}}} method still observes these). An |
30172 | 1234 |
explicit weight annotation may be given as well; otherwise the |
1235 |
number of rule premises will be taken into account here.% |
|
1236 |
\end{isamarkuptext}% |
|
1237 |
\isamarkuptrue% |
|
1238 |
% |
|
1239 |
\isamarkupsection{Coherent Logic% |
|
1240 |
} |
|
1241 |
\isamarkuptrue% |
|
1242 |
% |
|
1243 |
\begin{isamarkuptext}% |
|
1244 |
\begin{matharray}{rcl} |
|
1245 |
\indexdef{HOL}{method}{coherent}\hypertarget{method.HOL.coherent}{\hyperlink{method.HOL.coherent}{\mbox{\isa{coherent}}}} & : & \isa{method} \\ |
|
1246 |
\end{matharray} |
|
1247 |
||
42596
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modernized rail diagrams using @{rail} antiquotation;
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changeset
|
1248 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1249 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
1250 |
\rail@term{\hyperlink{method.HOL.coherent}{\mbox{\isa{coherent}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1251 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1252 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1253 |
\rail@nont{\hyperlink{syntax.thmrefs}{\mbox{\isa{thmrefs}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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changeset
|
1254 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1255 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1256 |
\end{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1257 |
|
30172 | 1258 |
|
1259 |
The \hyperlink{method.HOL.coherent}{\mbox{\isa{coherent}}} method solves problems of |
|
1260 |
\emph{Coherent Logic} \cite{Bezem-Coquand:2005}, which covers |
|
1261 |
applications in confluence theory, lattice theory and projective |
|
40802 | 1262 |
geometry. See \verb|~~/src/HOL/ex/Coherent.thy| for some |
30172 | 1263 |
examples.% |
1264 |
\end{isamarkuptext}% |
|
1265 |
\isamarkuptrue% |
|
1266 |
% |
|
42215
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1267 |
\isamarkupsection{Proving propositions% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1268 |
} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1269 |
\isamarkuptrue% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1270 |
% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1271 |
\begin{isamarkuptext}% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1272 |
In addition to the standard proof methods, a number of diagnosis |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1273 |
tools search for proofs and provide an Isar proof snippet on success. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1274 |
These tools are available via the following commands. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1275 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1276 |
\begin{matharray}{rcl} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1277 |
\indexdef{HOL}{command}{solve\_direct}\hypertarget{command.HOL.solve-direct}{\hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1278 |
\indexdef{HOL}{command}{try}\hypertarget{command.HOL.try}{\hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1279 |
\indexdef{HOL}{command}{sledgehammer}\hypertarget{command.HOL.sledgehammer}{\hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1280 |
\indexdef{HOL}{command}{sledgehammer\_params}\hypertarget{command.HOL.sledgehammer-params}{\hyperlink{command.HOL.sledgehammer-params}{\mbox{\isa{\isacommand{sledgehammer{\isaliteral{5F}{\isacharunderscore}}params}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1281 |
\end{matharray} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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diff
changeset
|
1282 |
|
42596
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modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1283 |
\begin{railoutput} |
6c621a9d612a
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parents:
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changeset
|
1284 |
\rail@begin{6}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1285 |
\rail@term{\hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1286 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1287 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1288 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1289 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1290 |
\rail@term{\isa{simp}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1291 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1292 |
\rail@term{\isa{intro}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1293 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1294 |
\rail@term{\isa{elim}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1295 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1296 |
\rail@term{\isa{dest}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1297 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1298 |
\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
1299 |
\rail@nont{\hyperlink{syntax.thmrefs}{\mbox{\isa{thmrefs}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1300 |
\rail@nextplus{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1301 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1302 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1303 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1304 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1305 |
\rail@nont{\hyperlink{syntax.nat}{\mbox{\isa{nat}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1306 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1307 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1308 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1309 |
\rail@term{\hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1310 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1311 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1312 |
\rail@term{\isa{{\isaliteral{5B}{\isacharbrackleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1313 |
\rail@nont{\isa{args}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1314 |
\rail@term{\isa{{\isaliteral{5D}{\isacharbrackright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1315 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1316 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1317 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1318 |
\rail@nont{\isa{facts}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1319 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1320 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1321 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1322 |
\rail@nont{\hyperlink{syntax.nat}{\mbox{\isa{nat}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1323 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1324 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1325 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1326 |
\rail@term{\hyperlink{command.HOL.sledgehammer-params}{\mbox{\isa{\isacommand{sledgehammer{\isaliteral{5F}{\isacharunderscore}}params}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1327 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1328 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1329 |
\rail@term{\isa{{\isaliteral{5B}{\isacharbrackleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1330 |
\rail@nont{\isa{args}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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|
1331 |
\rail@term{\isa{{\isaliteral{5D}{\isacharbrackright}}}}[] |
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changeset
|
1332 |
\rail@endbar |
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changeset
|
1333 |
\rail@end |
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changeset
|
1334 |
\rail@begin{2}{\isa{args}} |
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|
1335 |
\rail@plus |
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changeset
|
1336 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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changeset
|
1337 |
\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
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changeset
|
1338 |
\rail@nont{\isa{value}}[] |
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changeset
|
1339 |
\rail@nextplus{1} |
6c621a9d612a
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|
1340 |
\rail@cterm{\isa{{\isaliteral{2C}{\isacharcomma}}}}[] |
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|
1341 |
\rail@endplus |
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parents:
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changeset
|
1342 |
\rail@end |
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changeset
|
1343 |
\rail@begin{5}{\isa{facts}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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changeset
|
1344 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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|
1345 |
\rail@bar |
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changeset
|
1346 |
\rail@nextbar{1} |
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parents:
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changeset
|
1347 |
\rail@plus |
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parents:
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changeset
|
1348 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1349 |
\rail@nextbar{2} |
6c621a9d612a
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parents:
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changeset
|
1350 |
\rail@bar |
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modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1351 |
\rail@term{\isa{add}}[] |
6c621a9d612a
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changeset
|
1352 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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changeset
|
1353 |
\rail@term{\isa{del}}[] |
6c621a9d612a
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changeset
|
1354 |
\rail@endbar |
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changeset
|
1355 |
\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}}}[] |
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|
1356 |
\rail@endbar |
6c621a9d612a
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parents:
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changeset
|
1357 |
\rail@nont{\hyperlink{syntax.thmrefs}{\mbox{\isa{thmrefs}}}}[] |
6c621a9d612a
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|
1358 |
\rail@nextplus{4} |
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parents:
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changeset
|
1359 |
\rail@endplus |
6c621a9d612a
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changeset
|
1360 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1361 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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|
1362 |
\rail@end |
6c621a9d612a
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|
1363 |
\end{railoutput} |
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|
1364 |
% FIXME try: proper clasimpmod!? |
6c621a9d612a
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|
1365 |
% FIXME check args "value" |
42215
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document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1366 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1367 |
\begin{description} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1368 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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|
1369 |
\item \hyperlink{command.HOL.solve-direct}{\mbox{\isa{\isacommand{solve{\isaliteral{5F}{\isacharunderscore}}direct}}}} checks whether the current subgoals can |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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|
1370 |
be solved directly by an existing theorem. Duplicate lemmas can be detected |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1371 |
in this way. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1372 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1373 |
\item \hyperlink{command.HOL.try}{\mbox{\isa{\isacommand{try}}}} attempts to prove a subgoal using a combination |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1374 |
of standard proof methods (\isa{auto}, \isa{simp}, \isa{blast}, etc.). |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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|
1375 |
Additional facts supplied via \isa{{\isaliteral{22}{\isachardoublequote}}simp{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, \isa{{\isaliteral{22}{\isachardoublequote}}intro{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1376 |
\isa{{\isaliteral{22}{\isachardoublequote}}elim{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}, and \isa{{\isaliteral{22}{\isachardoublequote}}dest{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}} are passed to the appropriate proof |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1377 |
methods. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1378 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1379 |
\item \hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}} attempts to prove a subgoal using external |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1380 |
automatic provers (resolution provers and SMT solvers). See the Sledgehammer |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1381 |
manual \cite{isabelle-sledgehammer} for details. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1382 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1383 |
\item \hyperlink{command.HOL.sledgehammer-params}{\mbox{\isa{\isacommand{sledgehammer{\isaliteral{5F}{\isacharunderscore}}params}}}} changes |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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parents:
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changeset
|
1384 |
\hyperlink{command.HOL.sledgehammer}{\mbox{\isa{\isacommand{sledgehammer}}}} configuration options persistently. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1385 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1386 |
\end{description}% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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|
1387 |
\end{isamarkuptext}% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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|
1388 |
\isamarkuptrue% |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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|
1389 |
% |
31913 | 1390 |
\isamarkupsection{Checking and refuting propositions% |
1391 |
} |
|
1392 |
\isamarkuptrue% |
|
1393 |
% |
|
1394 |
\begin{isamarkuptext}% |
|
1395 |
Identifying incorrect propositions usually involves evaluation of |
|
42215
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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|
1396 |
particular assignments and systematic counterexample search. This |
31913 | 1397 |
is supported by the following commands. |
1398 |
||
1399 |
\begin{matharray}{rcl} |
|
40406 | 1400 |
\indexdef{HOL}{command}{value}\hypertarget{command.HOL.value}{\hyperlink{command.HOL.value}{\mbox{\isa{\isacommand{value}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}context\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
1401 |
\indexdef{HOL}{command}{quickcheck}\hypertarget{command.HOL.quickcheck}{\hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
42215
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document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1402 |
\indexdef{HOL}{command}{refute}\hypertarget{command.HOL.refute}{\hyperlink{command.HOL.refute}{\mbox{\isa{\isacommand{refute}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
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changeset
|
1403 |
\indexdef{HOL}{command}{nitpick}\hypertarget{command.HOL.nitpick}{\hyperlink{command.HOL.nitpick}{\mbox{\isa{\isacommand{nitpick}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}proof\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
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changeset
|
1404 |
\indexdef{HOL}{command}{quickcheck\_params}\hypertarget{command.HOL.quickcheck-params}{\hyperlink{command.HOL.quickcheck-params}{\mbox{\isa{\isacommand{quickcheck{\isaliteral{5F}{\isacharunderscore}}params}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1405 |
\indexdef{HOL}{command}{refute\_params}\hypertarget{command.HOL.refute-params}{\hyperlink{command.HOL.refute-params}{\mbox{\isa{\isacommand{refute{\isaliteral{5F}{\isacharunderscore}}params}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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changeset
|
1406 |
\indexdef{HOL}{command}{nitpick\_params}\hypertarget{command.HOL.nitpick-params}{\hyperlink{command.HOL.nitpick-params}{\mbox{\isa{\isacommand{nitpick{\isaliteral{5F}{\isacharunderscore}}params}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} |
31913 | 1407 |
\end{matharray} |
1408 |
||
42596
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|
1409 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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changeset
|
1410 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1411 |
\rail@term{\hyperlink{command.HOL.value}{\mbox{\isa{\isacommand{value}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1412 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1413 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1414 |
\rail@term{\isa{{\isaliteral{5B}{\isacharbrackleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1415 |
\rail@nont{\isa{name}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1416 |
\rail@term{\isa{{\isaliteral{5D}{\isacharbrackright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1417 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1418 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1419 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1420 |
\rail@nont{\isa{modes}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1421 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1422 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1423 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1424 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1425 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1426 |
\rail@term{\hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1427 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1428 |
\rail@term{\hyperlink{command.HOL.refute}{\mbox{\isa{\isacommand{refute}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1429 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1430 |
\rail@term{\hyperlink{command.HOL.nitpick}{\mbox{\isa{\isacommand{nitpick}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1431 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1432 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1433 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1434 |
\rail@term{\isa{{\isaliteral{5B}{\isacharbrackleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1435 |
\rail@nont{\isa{args}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1436 |
\rail@term{\isa{{\isaliteral{5D}{\isacharbrackright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1437 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1438 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1439 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1440 |
\rail@nont{\hyperlink{syntax.nat}{\mbox{\isa{nat}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1441 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1442 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1443 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1444 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1445 |
\rail@term{\hyperlink{command.HOL.quickcheck-params}{\mbox{\isa{\isacommand{quickcheck{\isaliteral{5F}{\isacharunderscore}}params}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1446 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1447 |
\rail@term{\hyperlink{command.HOL.refute-params}{\mbox{\isa{\isacommand{refute{\isaliteral{5F}{\isacharunderscore}}params}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1448 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1449 |
\rail@term{\hyperlink{command.HOL.nitpick-params}{\mbox{\isa{\isacommand{nitpick{\isaliteral{5F}{\isacharunderscore}}params}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1450 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1451 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1452 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1453 |
\rail@term{\isa{{\isaliteral{5B}{\isacharbrackleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1454 |
\rail@nont{\isa{args}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1455 |
\rail@term{\isa{{\isaliteral{5D}{\isacharbrackright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1456 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1457 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1458 |
\rail@begin{2}{\isa{modes}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1459 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1460 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1461 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1462 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1463 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1464 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1465 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1466 |
\rail@begin{2}{\isa{args}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1467 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1468 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1469 |
\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1470 |
\rail@nont{\isa{value}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1471 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1472 |
\rail@cterm{\isa{{\isaliteral{2C}{\isacharcomma}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1473 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1474 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1475 |
\end{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1476 |
% FIXME check "value" |
31913 | 1477 |
|
1478 |
\begin{description} |
|
1479 |
||
1480 |
\item \hyperlink{command.HOL.value}{\mbox{\isa{\isacommand{value}}}}~\isa{t} evaluates and prints a |
|
1481 |
term; optionally \isa{modes} can be specified, which are |
|
1482 |
appended to the current print mode (see also \cite{isabelle-ref}). |
|
1483 |
Internally, the evaluation is performed by registered evaluators, |
|
1484 |
which are invoked sequentially until a result is returned. |
|
1485 |
Alternatively a specific evaluator can be selected using square |
|
37444 | 1486 |
brackets; typical evaluators use the current set of code equations |
1487 |
to normalize and include \isa{simp} for fully symbolic evaluation |
|
1488 |
using the simplifier, \isa{nbe} for \emph{normalization by evaluation} |
|
1489 |
and \emph{code} for code generation in SML. |
|
31913 | 1490 |
|
1491 |
\item \hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}} tests the current goal for |
|
42215
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document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
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|
1492 |
counterexamples using a series of assignments for its |
31913 | 1493 |
free variables; by default the first subgoal is tested, an other |
1494 |
can be selected explicitly using an optional goal index. |
|
40937 | 1495 |
Assignments can be chosen exhausting the search space upto a given |
1496 |
size or using a fixed number of random assignments in the search space. |
|
1497 |
By default, quickcheck uses exhaustive testing. |
|
31913 | 1498 |
A number of configuration options are supported for |
1499 |
\hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}}, notably: |
|
1500 |
||
1501 |
\begin{description} |
|
1502 |
||
40937 | 1503 |
\item[\isa{tester}] specifies how to explore the search space |
1504 |
(e.g. exhaustive or random). |
|
1505 |
An unknown configuration option is treated as an argument to tester, |
|
1506 |
making \isa{{\isaliteral{22}{\isachardoublequote}}tester\ {\isaliteral{3D}{\isacharequal}}{\isaliteral{22}{\isachardoublequote}}} optional. |
|
40254 | 1507 |
\item[\isa{size}] specifies the maximum size of the search space |
1508 |
for assignment values. |
|
1509 |
||
42123 | 1510 |
\item[\isa{eval}] takes a term or a list of terms and evaluates |
1511 |
these terms under the variable assignment found by quickcheck. |
|
1512 |
||
40254 | 1513 |
\item[\isa{iterations}] sets how many sets of assignments are |
1514 |
generated for each particular size. |
|
1515 |
||
40406 | 1516 |
\item[\isa{no{\isaliteral{5F}{\isacharunderscore}}assms}] specifies whether assumptions in |
40254 | 1517 |
structured proofs should be ignored. |
1518 |
||
1519 |
\item[\isa{timeout}] sets the time limit in seconds. |
|
31913 | 1520 |
|
40406 | 1521 |
\item[\isa{default{\isaliteral{5F}{\isacharunderscore}}type}] sets the type(s) generally used to |
40254 | 1522 |
instantiate type variables. |
1523 |
||
1524 |
\item[\isa{report}] if set quickcheck reports how many tests |
|
1525 |
fulfilled the preconditions. |
|
31913 | 1526 |
|
40254 | 1527 |
\item[\isa{quiet}] if not set quickcheck informs about the |
1528 |
current size for assignment values. |
|
1529 |
||
1530 |
\item[\isa{expect}] can be used to check if the user's |
|
40406 | 1531 |
expectation was met (\isa{no{\isaliteral{5F}{\isacharunderscore}}expectation}, \isa{no{\isaliteral{5F}{\isacharunderscore}}counterexample}, or \isa{counterexample}). |
35351
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allow general mixfix syntax for type constructors;
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|
1532 |
|
31913 | 1533 |
\end{description} |
1534 |
||
1535 |
These option can be given within square brackets. |
|
1536 |
||
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document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
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|
1537 |
\item \hyperlink{command.HOL.quickcheck-params}{\mbox{\isa{\isacommand{quickcheck{\isaliteral{5F}{\isacharunderscore}}params}}}} changes |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1538 |
\hyperlink{command.HOL.quickcheck}{\mbox{\isa{\isacommand{quickcheck}}}} configuration options persistently. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1539 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1540 |
\item \hyperlink{command.HOL.refute}{\mbox{\isa{\isacommand{refute}}}} tests the current goal for |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1541 |
counterexamples using a reduction to SAT. The following configuration |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1542 |
options are supported: |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1543 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1544 |
\begin{description} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1545 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1546 |
\item[\isa{minsize}] specifies the minimum size (cardinality) of the |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1547 |
models to search for. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1548 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1549 |
\item[\isa{maxsize}] specifies the maximum size (cardinality) of the |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1550 |
models to search for. Nonpositive values mean $\infty$. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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changeset
|
1551 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1552 |
\item[\isa{maxvars}] specifies the maximum number of Boolean variables |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1553 |
to use when transforming the term into a propositional formula. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1554 |
Nonpositive values mean $\infty$. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1555 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1556 |
\item[\isa{satsolver}] specifies the SAT solver to use. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1557 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1558 |
\item[\isa{no{\isaliteral{5F}{\isacharunderscore}}assms}] specifies whether assumptions in |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1559 |
structured proofs should be ignored. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1560 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1561 |
\item[\isa{maxtime}] sets the time limit in seconds. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1562 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
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diff
changeset
|
1563 |
\item[\isa{expect}] can be used to check if the user's |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1564 |
expectation was met (\isa{genuine}, \isa{potential}, |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1565 |
\isa{none}, or \isa{unknown}). |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1566 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1567 |
\end{description} |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1568 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1569 |
These option can be given within square brackets. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1570 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1571 |
\item \hyperlink{command.HOL.refute-params}{\mbox{\isa{\isacommand{refute{\isaliteral{5F}{\isacharunderscore}}params}}}} changes |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1572 |
\hyperlink{command.HOL.refute}{\mbox{\isa{\isacommand{refute}}}} configuration options persistently. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1573 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1574 |
\item \hyperlink{command.HOL.nitpick}{\mbox{\isa{\isacommand{nitpick}}}} tests the current goal for counterexamples |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1575 |
using a reduction to first-order relational logic. See the Nitpick manual |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1576 |
\cite{isabelle-nitpick} for details. |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1577 |
|
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1578 |
\item \hyperlink{command.HOL.nitpick-params}{\mbox{\isa{\isacommand{nitpick{\isaliteral{5F}{\isacharunderscore}}params}}}} changes |
de9d43c427ae
document "nitpick(_params)", "refute(_params)", "try", "sledgehammer(_params)", and "solve_direct"
blanchet
parents:
42123
diff
changeset
|
1579 |
\hyperlink{command.HOL.nitpick}{\mbox{\isa{\isacommand{nitpick}}}} configuration options persistently. |
31913 | 1580 |
|
1581 |
\end{description}% |
|
1582 |
\end{isamarkuptext}% |
|
1583 |
\isamarkuptrue% |
|
1584 |
% |
|
28788 | 1585 |
\isamarkupsection{Unstructured case analysis and induction \label{sec:hol-induct-tac}% |
26849 | 1586 |
} |
1587 |
\isamarkuptrue% |
|
1588 |
% |
|
1589 |
\begin{isamarkuptext}% |
|
27124 | 1590 |
The following tools of Isabelle/HOL support cases analysis and |
1591 |
induction in unstructured tactic scripts; see also |
|
1592 |
\secref{sec:cases-induct} for proper Isar versions of similar ideas. |
|
26849 | 1593 |
|
1594 |
\begin{matharray}{rcl} |
|
40406 | 1595 |
\indexdef{HOL}{method}{case\_tac}\hypertarget{method.HOL.case-tac}{\hyperlink{method.HOL.case-tac}{\mbox{\isa{case{\isaliteral{5F}{\isacharunderscore}}tac}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{method} \\ |
1596 |
\indexdef{HOL}{method}{induct\_tac}\hypertarget{method.HOL.induct-tac}{\hyperlink{method.HOL.induct-tac}{\mbox{\isa{induct{\isaliteral{5F}{\isacharunderscore}}tac}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{method} \\ |
|
1597 |
\indexdef{HOL}{method}{ind\_cases}\hypertarget{method.HOL.ind-cases}{\hyperlink{method.HOL.ind-cases}{\mbox{\isa{ind{\isaliteral{5F}{\isacharunderscore}}cases}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{method} \\ |
|
1598 |
\indexdef{HOL}{command}{inductive\_cases}\hypertarget{command.HOL.inductive-cases}{\hyperlink{command.HOL.inductive-cases}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}cases}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}local{\isaliteral{5F}{\isacharunderscore}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ local{\isaliteral{5F}{\isacharunderscore}}theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
26849 | 1599 |
\end{matharray} |
1600 |
||
42596
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|
1601 |
\begin{railoutput} |
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|
1602 |
\rail@begin{2}{\isa{}} |
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|
1603 |
\rail@term{\hyperlink{method.HOL.case-tac}{\mbox{\isa{case{\isaliteral{5F}{\isacharunderscore}}tac}}}}[] |
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|
1604 |
\rail@bar |
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parents:
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changeset
|
1605 |
\rail@nextbar{1} |
6c621a9d612a
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changeset
|
1606 |
\rail@nont{\hyperlink{syntax.goalspec}{\mbox{\isa{goalspec}}}}[] |
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parents:
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changeset
|
1607 |
\rail@endbar |
6c621a9d612a
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parents:
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diff
changeset
|
1608 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
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parents:
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changeset
|
1609 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1610 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1611 |
\rail@nont{\isa{rule}}[] |
6c621a9d612a
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parents:
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diff
changeset
|
1612 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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diff
changeset
|
1613 |
\rail@end |
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
1614 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
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parents:
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diff
changeset
|
1615 |
\rail@term{\hyperlink{method.HOL.induct-tac}{\mbox{\isa{induct{\isaliteral{5F}{\isacharunderscore}}tac}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1616 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1617 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1618 |
\rail@nont{\hyperlink{syntax.goalspec}{\mbox{\isa{goalspec}}}}[] |
6c621a9d612a
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parents:
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diff
changeset
|
1619 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1620 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1621 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1622 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1623 |
\rail@nont{\hyperlink{syntax.insts}{\mbox{\isa{insts}}}}[] |
6c621a9d612a
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wenzelm
parents:
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|
1624 |
\rail@nextplus{2} |
6c621a9d612a
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parents:
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diff
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|
1625 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
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diff
changeset
|
1626 |
\rail@endplus |
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
1627 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1628 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1629 |
\rail@nextbar{1} |
6c621a9d612a
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parents:
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changeset
|
1630 |
\rail@nont{\isa{rule}}[] |
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
1631 |
\rail@endbar |
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
1632 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1633 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1634 |
\rail@term{\hyperlink{method.HOL.ind-cases}{\mbox{\isa{ind{\isaliteral{5F}{\isacharunderscore}}cases}}}}[] |
6c621a9d612a
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parents:
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changeset
|
1635 |
\rail@plus |
6c621a9d612a
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wenzelm
parents:
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changeset
|
1636 |
\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
6c621a9d612a
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wenzelm
parents:
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|
1637 |
\rail@nextplus{1} |
6c621a9d612a
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wenzelm
parents:
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changeset
|
1638 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1639 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1640 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1641 |
\rail@term{\isa{\isakeyword{for}}}[] |
6c621a9d612a
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changeset
|
1642 |
\rail@plus |
6c621a9d612a
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parents:
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changeset
|
1643 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
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wenzelm
parents:
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|
1644 |
\rail@nextplus{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1645 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1646 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1647 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1648 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
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|
1649 |
\rail@term{\hyperlink{command.HOL.inductive-cases}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}cases}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1650 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1651 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1652 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1653 |
\rail@nont{\hyperlink{syntax.thmdecl}{\mbox{\isa{thmdecl}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1654 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1655 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1656 |
\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1657 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1658 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1659 |
\rail@nextplus{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
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|
1660 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
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parents:
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changeset
|
1661 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
1662 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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changeset
|
1663 |
\rail@begin{1}{\isa{rule}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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|
1664 |
\rail@term{\isa{rule}}[] |
6c621a9d612a
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wenzelm
parents:
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diff
changeset
|
1665 |
\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}}}[] |
6c621a9d612a
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wenzelm
parents:
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|
1666 |
\rail@nont{\hyperlink{syntax.thmref}{\mbox{\isa{thmref}}}}[] |
6c621a9d612a
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|
1667 |
\rail@end |
6c621a9d612a
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|
1668 |
\end{railoutput} |
26849 | 1669 |
|
1670 |
||
28788 | 1671 |
\begin{description} |
26849 | 1672 |
|
40406 | 1673 |
\item \hyperlink{method.HOL.case-tac}{\mbox{\isa{case{\isaliteral{5F}{\isacharunderscore}}tac}}} and \hyperlink{method.HOL.induct-tac}{\mbox{\isa{induct{\isaliteral{5F}{\isacharunderscore}}tac}}} admit |
28788 | 1674 |
to reason about inductive types. Rules are selected according to |
1675 |
the declarations by the \hyperlink{attribute.cases}{\mbox{\isa{cases}}} and \hyperlink{attribute.induct}{\mbox{\isa{induct}}} |
|
1676 |
attributes, cf.\ \secref{sec:cases-induct}. The \hyperlink{command.HOL.datatype}{\mbox{\isa{\isacommand{datatype}}}} package already takes care of this. |
|
27124 | 1677 |
|
1678 |
These unstructured tactics feature both goal addressing and dynamic |
|
26849 | 1679 |
instantiation. Note that named rule cases are \emph{not} provided |
27124 | 1680 |
as would be by the proper \hyperlink{method.cases}{\mbox{\isa{cases}}} and \hyperlink{method.induct}{\mbox{\isa{induct}}} proof |
40406 | 1681 |
methods (see \secref{sec:cases-induct}). Unlike the \hyperlink{method.induct}{\mbox{\isa{induct}}} method, \hyperlink{method.induct-tac}{\mbox{\isa{induct{\isaliteral{5F}{\isacharunderscore}}tac}}} does not handle structured rule |
27124 | 1682 |
statements, only the compact object-logic conclusion of the subgoal |
1683 |
being addressed. |
|
42123 | 1684 |
|
40406 | 1685 |
\item \hyperlink{method.HOL.ind-cases}{\mbox{\isa{ind{\isaliteral{5F}{\isacharunderscore}}cases}}} and \hyperlink{command.HOL.inductive-cases}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}cases}}}} provide an interface to the internal \verb|mk_cases| operation. Rules are simplified in an unrestricted |
26861 | 1686 |
forward manner. |
26849 | 1687 |
|
40406 | 1688 |
While \hyperlink{method.HOL.ind-cases}{\mbox{\isa{ind{\isaliteral{5F}{\isacharunderscore}}cases}}} is a proof method to apply the |
1689 |
result immediately as elimination rules, \hyperlink{command.HOL.inductive-cases}{\mbox{\isa{\isacommand{inductive{\isaliteral{5F}{\isacharunderscore}}cases}}}} provides case split theorems at the theory level |
|
1690 |
for later use. The \hyperlink{keyword.for}{\mbox{\isa{\isakeyword{for}}}} argument of the \hyperlink{method.HOL.ind-cases}{\mbox{\isa{ind{\isaliteral{5F}{\isacharunderscore}}cases}}} method allows to specify a list of variables that should |
|
26849 | 1691 |
be generalized before applying the resulting rule. |
1692 |
||
28788 | 1693 |
\end{description}% |
26849 | 1694 |
\end{isamarkuptext}% |
1695 |
\isamarkuptrue% |
|
1696 |
% |
|
1697 |
\isamarkupsection{Executable code% |
|
1698 |
} |
|
1699 |
\isamarkuptrue% |
|
1700 |
% |
|
1701 |
\begin{isamarkuptext}% |
|
42627
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|
1702 |
For validation purposes, it is often useful to \emph{execute} |
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|
1703 |
specifications. In principle, execution could be simulated by |
8749742785b8
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changeset
|
1704 |
Isabelle's inference kernel, i.e. by a combination of resolution and |
8749742785b8
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|
1705 |
simplification. Unfortunately, this approach is rather inefficient. |
8749742785b8
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changeset
|
1706 |
A more efficient way of executing specifications is to translate |
8749742785b8
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wenzelm
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42626
diff
changeset
|
1707 |
them into a functional programming language such as ML. |
26849 | 1708 |
|
42627
8749742785b8
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wenzelm
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changeset
|
1709 |
Isabelle provides two generic frameworks to support code generation |
8749742785b8
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|
1710 |
from executable specifications. Isabelle/HOL instantiates these |
8749742785b8
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|
1711 |
mechanisms in a way that is amenable to end-user applications.% |
8749742785b8
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|
1712 |
\end{isamarkuptext}% |
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|
1713 |
\isamarkuptrue% |
8749742785b8
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changeset
|
1714 |
% |
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|
1715 |
\isamarkupsubsection{The new code generator (F. Haftmann)% |
8749742785b8
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|
1716 |
} |
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|
1717 |
\isamarkuptrue% |
8749742785b8
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changeset
|
1718 |
% |
8749742785b8
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changeset
|
1719 |
\begin{isamarkuptext}% |
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|
1720 |
This framework generates code from functional programs |
37422 | 1721 |
(including overloading using type classes) to SML \cite{SML}, OCaml |
38813 | 1722 |
\cite{OCaml}, Haskell \cite{haskell-revised-report} and Scala |
42627
8749742785b8
moved material about old codegen to isar-ref manual;
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changeset
|
1723 |
\cite{scala-overview-tech-report}. Conceptually, code generation is |
8749742785b8
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|
1724 |
split up in three steps: \emph{selection} of code theorems, |
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|
1725 |
\emph{translation} into an abstract executable view and |
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changeset
|
1726 |
\emph{serialization} to a specific \emph{target language}. |
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|
1727 |
Inductive specifications can be executed using the predicate |
8749742785b8
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|
1728 |
compiler which operates within HOL. See \cite{isabelle-codegen} for |
8749742785b8
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changeset
|
1729 |
an introduction. |
37422 | 1730 |
|
1731 |
\begin{matharray}{rcl} |
|
40406 | 1732 |
\indexdef{HOL}{command}{export\_code}\hypertarget{command.HOL.export-code}{\hyperlink{command.HOL.export-code}{\mbox{\isa{\isacommand{export{\isaliteral{5F}{\isacharunderscore}}code}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}context\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
37422 | 1733 |
\indexdef{HOL}{attribute}{code}\hypertarget{attribute.HOL.code}{\hyperlink{attribute.HOL.code}{\mbox{\isa{code}}}} & : & \isa{attribute} \\ |
40406 | 1734 |
\indexdef{HOL}{command}{code\_abort}\hypertarget{command.HOL.code-abort}{\hyperlink{command.HOL.code-abort}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}abort}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
1735 |
\indexdef{HOL}{command}{code\_datatype}\hypertarget{command.HOL.code-datatype}{\hyperlink{command.HOL.code-datatype}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}datatype}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1736 |
\indexdef{HOL}{command}{print\_codesetup}\hypertarget{command.HOL.print-codesetup}{\hyperlink{command.HOL.print-codesetup}{\mbox{\isa{\isacommand{print{\isaliteral{5F}{\isacharunderscore}}codesetup}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}context\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1737 |
\indexdef{HOL}{attribute}{code\_inline}\hypertarget{attribute.HOL.code-inline}{\hyperlink{attribute.HOL.code-inline}{\mbox{\isa{code{\isaliteral{5F}{\isacharunderscore}}inline}}}} & : & \isa{attribute} \\ |
|
1738 |
\indexdef{HOL}{attribute}{code\_post}\hypertarget{attribute.HOL.code-post}{\hyperlink{attribute.HOL.code-post}{\mbox{\isa{code{\isaliteral{5F}{\isacharunderscore}}post}}}} & : & \isa{attribute} \\ |
|
1739 |
\indexdef{HOL}{command}{print\_codeproc}\hypertarget{command.HOL.print-codeproc}{\hyperlink{command.HOL.print-codeproc}{\mbox{\isa{\isacommand{print{\isaliteral{5F}{\isacharunderscore}}codeproc}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}context\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1740 |
\indexdef{HOL}{command}{code\_thms}\hypertarget{command.HOL.code-thms}{\hyperlink{command.HOL.code-thms}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}thms}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}context\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1741 |
\indexdef{HOL}{command}{code\_deps}\hypertarget{command.HOL.code-deps}{\hyperlink{command.HOL.code-deps}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}deps}}}}}\isa{{\isaliteral{22}{\isachardoublequote}}\isaliteral{5C3C5E7375703E}{}\isactrlsup {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}context\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1742 |
\indexdef{HOL}{command}{code\_const}\hypertarget{command.HOL.code-const}{\hyperlink{command.HOL.code-const}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}const}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1743 |
\indexdef{HOL}{command}{code\_type}\hypertarget{command.HOL.code-type}{\hyperlink{command.HOL.code-type}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}type}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1744 |
\indexdef{HOL}{command}{code\_class}\hypertarget{command.HOL.code-class}{\hyperlink{command.HOL.code-class}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}class}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1745 |
\indexdef{HOL}{command}{code\_instance}\hypertarget{command.HOL.code-instance}{\hyperlink{command.HOL.code-instance}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}instance}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1746 |
\indexdef{HOL}{command}{code\_reserved}\hypertarget{command.HOL.code-reserved}{\hyperlink{command.HOL.code-reserved}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}reserved}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1747 |
\indexdef{HOL}{command}{code\_monad}\hypertarget{command.HOL.code-monad}{\hyperlink{command.HOL.code-monad}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}monad}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1748 |
\indexdef{HOL}{command}{code\_include}\hypertarget{command.HOL.code-include}{\hyperlink{command.HOL.code-include}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}include}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1749 |
\indexdef{HOL}{command}{code\_modulename}\hypertarget{command.HOL.code-modulename}{\hyperlink{command.HOL.code-modulename}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}modulename}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
|
1750 |
\indexdef{HOL}{command}{code\_reflect}\hypertarget{command.HOL.code-reflect}{\hyperlink{command.HOL.code-reflect}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}reflect}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} |
|
37422 | 1751 |
\end{matharray} |
1752 |
||
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1753 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1754 |
\rail@begin{11}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1755 |
\rail@term{\hyperlink{command.HOL.export-code}{\mbox{\isa{\isacommand{export{\isaliteral{5F}{\isacharunderscore}}code}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1756 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1757 |
\rail@nont{\isa{constexpr}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1758 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1759 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1760 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1761 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1762 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1763 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1764 |
\rail@term{\isa{\isakeyword{in}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1765 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1766 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1767 |
\rail@nextbar{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1768 |
\rail@term{\isa{\isakeyword{module{\isaliteral{5F}{\isacharunderscore}}name}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1769 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1770 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1771 |
\rail@cr{7} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1772 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1773 |
\rail@nextbar{8} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1774 |
\rail@term{\isa{\isakeyword{file}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1775 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1776 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1777 |
\rail@nextbar{9} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1778 |
\rail@term{\isa{{\isaliteral{2D}{\isacharminus}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1779 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1780 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1781 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1782 |
\rail@nextbar{8} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1783 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1784 |
\rail@nont{\isa{args}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1785 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1786 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1787 |
\rail@nextplus{10} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1788 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1789 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1790 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1791 |
\rail@begin{1}{\isa{const}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1792 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1793 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1794 |
\rail@begin{3}{\isa{constexpr}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1795 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1796 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1797 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1798 |
\rail@term{\isa{name{\isaliteral{2E}{\isachardot}}{\isaliteral{5F}{\isacharunderscore}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1799 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1800 |
\rail@term{\isa{{\isaliteral{5F}{\isacharunderscore}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1801 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1802 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1803 |
\rail@begin{1}{\isa{typeconstructor}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1804 |
\rail@nont{\hyperlink{syntax.nameref}{\mbox{\isa{nameref}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1805 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1806 |
\rail@begin{1}{\isa{class}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1807 |
\rail@nont{\hyperlink{syntax.nameref}{\mbox{\isa{nameref}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1808 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1809 |
\rail@begin{4}{\isa{target}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1810 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1811 |
\rail@term{\isa{SML}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1812 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1813 |
\rail@term{\isa{OCaml}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1814 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1815 |
\rail@term{\isa{Haskell}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1816 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1817 |
\rail@term{\isa{Scala}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1818 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1819 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1820 |
\rail@begin{4}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1821 |
\rail@term{\hyperlink{attribute.HOL.code}{\mbox{\isa{code}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1822 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1823 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1824 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1825 |
\rail@term{\isa{del}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1826 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1827 |
\rail@term{\isa{abstype}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1828 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1829 |
\rail@term{\isa{abstract}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1830 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1831 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1832 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1833 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1834 |
\rail@term{\hyperlink{command.HOL.code-abort}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}abort}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1835 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1836 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1837 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1838 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1839 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1840 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1841 |
\rail@term{\hyperlink{command.HOL.code-datatype}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}datatype}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1842 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1843 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1844 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1845 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1846 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1847 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1848 |
\rail@term{\hyperlink{attribute.HOL.code-inline}{\mbox{\isa{code{\isaliteral{5F}{\isacharunderscore}}inline}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1849 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1850 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1851 |
\rail@term{\isa{del}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1852 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1853 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1854 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1855 |
\rail@term{\hyperlink{attribute.HOL.code-post}{\mbox{\isa{code{\isaliteral{5F}{\isacharunderscore}}post}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1856 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1857 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1858 |
\rail@term{\isa{del}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1859 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1860 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1861 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1862 |
\rail@term{\hyperlink{command.HOL.code-thms}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}thms}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1863 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1864 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1865 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1866 |
\rail@nont{\isa{constexpr}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1867 |
\rail@nextplus{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1868 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1869 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1870 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1871 |
\rail@begin{3}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1872 |
\rail@term{\hyperlink{command.HOL.code-deps}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}deps}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1873 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1874 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1875 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1876 |
\rail@nont{\isa{constexpr}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1877 |
\rail@nextplus{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1878 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1879 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1880 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1881 |
\rail@begin{7}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1882 |
\rail@term{\hyperlink{command.HOL.code-const}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}const}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1883 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1884 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1885 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1886 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1887 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1888 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1889 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1890 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1891 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1892 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1893 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1894 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1895 |
\rail@nont{\isa{syntax}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1896 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1897 |
\rail@nextplus{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1898 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1899 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1900 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1901 |
\rail@nextplus{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1902 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1903 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1904 |
\rail@begin{7}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1905 |
\rail@term{\hyperlink{command.HOL.code-type}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}type}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1906 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1907 |
\rail@nont{\isa{typeconstructor}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1908 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1909 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1910 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1911 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1912 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1913 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1914 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1915 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1916 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1917 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1918 |
\rail@nont{\isa{syntax}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1919 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1920 |
\rail@nextplus{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1921 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1922 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1923 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1924 |
\rail@nextplus{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1925 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1926 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1927 |
\rail@begin{9}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1928 |
\rail@term{\hyperlink{command.HOL.code-class}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}class}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1929 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1930 |
\rail@nont{\isa{class}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1931 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1932 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1933 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1934 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1935 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1936 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1937 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1938 |
\rail@cr{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1939 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1940 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1941 |
\rail@nextbar{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1942 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1943 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1944 |
\rail@nextplus{7} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1945 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1946 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1947 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1948 |
\rail@nextplus{8} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1949 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1950 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1951 |
\rail@begin{7}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1952 |
\rail@term{\hyperlink{command.HOL.code-instance}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}instance}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1953 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1954 |
\rail@nont{\isa{typeconstructor}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1955 |
\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1956 |
\rail@nont{\isa{class}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1957 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1958 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1959 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1960 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1961 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1962 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1963 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1964 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1965 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1966 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1967 |
\rail@term{\isa{{\isaliteral{2D}{\isacharminus}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1968 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1969 |
\rail@nextplus{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1970 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1971 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1972 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1973 |
\rail@nextplus{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1974 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1975 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1976 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1977 |
\rail@term{\hyperlink{command.HOL.code-reserved}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}reserved}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1978 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1979 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1980 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1981 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1982 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1983 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1984 |
\rail@begin{1}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1985 |
\rail@term{\hyperlink{command.HOL.code-monad}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}monad}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1986 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1987 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1988 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1989 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1990 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1991 |
\rail@term{\hyperlink{command.HOL.code-include}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}include}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1992 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1993 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1994 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1995 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1996 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1997 |
\rail@term{\isa{{\isaliteral{2D}{\isacharminus}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1998 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
1999 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2000 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2001 |
\rail@term{\hyperlink{command.HOL.code-modulename}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}modulename}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2002 |
\rail@nont{\isa{target}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2003 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2004 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2005 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2006 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2007 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2008 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2009 |
\rail@begin{11}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2010 |
\rail@term{\hyperlink{command.HOL.code-reflect}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}reflect}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2011 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2012 |
\rail@cr{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2013 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2014 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2015 |
\rail@term{\isa{\isakeyword{datatypes}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2016 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2017 |
\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2018 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2019 |
\rail@term{\isa{{\isaliteral{5F}{\isacharunderscore}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2020 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2021 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2022 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2023 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2024 |
\rail@nextplus{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2025 |
\rail@cterm{\isa{{\isaliteral{7C}{\isacharbar}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2026 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2027 |
\rail@nextplus{6} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2028 |
\rail@cterm{\isa{\isakeyword{and}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2029 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2030 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2031 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2032 |
\rail@cr{8} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2033 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2034 |
\rail@nextbar{9} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2035 |
\rail@term{\isa{\isakeyword{functions}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2036 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2037 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2038 |
\rail@nextplus{10} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2039 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2040 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2041 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2042 |
\rail@nextbar{9} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2043 |
\rail@term{\isa{\isakeyword{file}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2044 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2045 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2046 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2047 |
\rail@begin{4}{\isa{syntax}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2048 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2049 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2050 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2051 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2052 |
\rail@term{\isa{\isakeyword{infix}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2053 |
\rail@nextbar{2} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2054 |
\rail@term{\isa{\isakeyword{infixl}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2055 |
\rail@nextbar{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2056 |
\rail@term{\isa{\isakeyword{infixr}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2057 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2058 |
\rail@nont{\hyperlink{syntax.nat}{\mbox{\isa{nat}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2059 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2060 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2061 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2062 |
\end{railoutput} |
37422 | 2063 |
|
2064 |
||
2065 |
\begin{description} |
|
2066 |
||
40406 | 2067 |
\item \hyperlink{command.HOL.export-code}{\mbox{\isa{\isacommand{export{\isaliteral{5F}{\isacharunderscore}}code}}}} generates code for a given list |
39608 | 2068 |
of constants in the specified target language(s). If no |
2069 |
serialization instruction is given, only abstract code is generated |
|
2070 |
internally. |
|
37422 | 2071 |
|
2072 |
Constants may be specified by giving them literally, referring to |
|
40406 | 2073 |
all executable contants within a certain theory by giving \isa{{\isaliteral{22}{\isachardoublequote}}name{\isaliteral{2E}{\isachardot}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}, or referring to \emph{all} executable constants currently |
2074 |
available by giving \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2A}{\isacharasterisk}}{\isaliteral{22}{\isachardoublequote}}}. |
|
37422 | 2075 |
|
2076 |
By default, for each involved theory one corresponding name space |
|
2077 |
module is generated. Alternativly, a module name may be specified |
|
40406 | 2078 |
after the \hyperlink{keyword.module-name}{\mbox{\isa{\isakeyword{module{\isaliteral{5F}{\isacharunderscore}}name}}}} keyword; then \emph{all} code is |
37422 | 2079 |
placed in this module. |
2080 |
||
39608 | 2081 |
For \emph{SML}, \emph{OCaml} and \emph{Scala} the file specification |
2082 |
refers to a single file; for \emph{Haskell}, it refers to a whole |
|
2083 |
directory, where code is generated in multiple files reflecting the |
|
2084 |
module hierarchy. Omitting the file specification denotes standard |
|
37749 | 2085 |
output. |
37422 | 2086 |
|
2087 |
Serializers take an optional list of arguments in parentheses. For |
|
40406 | 2088 |
\emph{SML} and \emph{OCaml}, ``\isa{no{\isaliteral{5F}{\isacharunderscore}}signatures}`` omits |
37422 | 2089 |
explicit module signatures. |
42123 | 2090 |
|
39608 | 2091 |
For \emph{Haskell} a module name prefix may be given using the |
40406 | 2092 |
``\isa{{\isaliteral{22}{\isachardoublequote}}root{\isaliteral{3A}{\isacharcolon}}{\isaliteral{22}{\isachardoublequote}}}'' argument; ``\isa{string{\isaliteral{5F}{\isacharunderscore}}classes}'' adds a |
39608 | 2093 |
``\verb|deriving (Read, Show)|'' clause to each appropriate |
2094 |
datatype declaration. |
|
37422 | 2095 |
|
2096 |
\item \hyperlink{attribute.HOL.code}{\mbox{\isa{code}}} explicitly selects (or with option |
|
40406 | 2097 |
``\isa{{\isaliteral{22}{\isachardoublequote}}del{\isaliteral{22}{\isachardoublequote}}}'' deselects) a code equation for code generation. |
38462
34d3de1254cd
formally document `code abstype` and `code abstract` attributes
haftmann
parents:
37820
diff
changeset
|
2098 |
Usually packages introducing code equations provide a reasonable |
40406 | 2099 |
default setup for selection. Variants \isa{{\isaliteral{22}{\isachardoublequote}}code\ abstype{\isaliteral{22}{\isachardoublequote}}} and |
2100 |
\isa{{\isaliteral{22}{\isachardoublequote}}code\ abstract{\isaliteral{22}{\isachardoublequote}}} declare abstract datatype certificates or |
|
38462
34d3de1254cd
formally document `code abstype` and `code abstract` attributes
haftmann
parents:
37820
diff
changeset
|
2101 |
code equations on abstract datatype representations respectively. |
37422 | 2102 |
|
40406 | 2103 |
\item \hyperlink{command.HOL.code-abort}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}abort}}}} declares constants which are not |
39608 | 2104 |
required to have a definition by means of code equations; if needed |
2105 |
these are implemented by program abort instead. |
|
37422 | 2106 |
|
40406 | 2107 |
\item \hyperlink{command.HOL.code-datatype}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}datatype}}}} specifies a constructor set |
37422 | 2108 |
for a logical type. |
2109 |
||
40406 | 2110 |
\item \hyperlink{command.HOL.print-codesetup}{\mbox{\isa{\isacommand{print{\isaliteral{5F}{\isacharunderscore}}codesetup}}}} gives an overview on |
37422 | 2111 |
selected code equations and code generator datatypes. |
2112 |
||
40406 | 2113 |
\item \hyperlink{attribute.HOL.code-inline}{\mbox{\isa{code{\isaliteral{5F}{\isacharunderscore}}inline}}} declares (or with option |
2114 |
``\isa{{\isaliteral{22}{\isachardoublequote}}del{\isaliteral{22}{\isachardoublequote}}}'' removes) inlining theorems which are applied as |
|
39608 | 2115 |
rewrite rules to any code equation during preprocessing. |
37422 | 2116 |
|
40406 | 2117 |
\item \hyperlink{attribute.HOL.code-post}{\mbox{\isa{code{\isaliteral{5F}{\isacharunderscore}}post}}} declares (or with option ``\isa{{\isaliteral{22}{\isachardoublequote}}del{\isaliteral{22}{\isachardoublequote}}}'' removes) theorems which are applied as rewrite rules to any |
39608 | 2118 |
result of an evaluation. |
37422 | 2119 |
|
40406 | 2120 |
\item \hyperlink{command.HOL.print-codeproc}{\mbox{\isa{\isacommand{print{\isaliteral{5F}{\isacharunderscore}}codeproc}}}} prints the setup of the code |
39608 | 2121 |
generator preprocessor. |
37422 | 2122 |
|
40406 | 2123 |
\item \hyperlink{command.HOL.code-thms}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}thms}}}} prints a list of theorems |
37422 | 2124 |
representing the corresponding program containing all given |
2125 |
constants after preprocessing. |
|
2126 |
||
40406 | 2127 |
\item \hyperlink{command.HOL.code-deps}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}deps}}}} visualizes dependencies of |
37422 | 2128 |
theorems representing the corresponding program containing all given |
2129 |
constants after preprocessing. |
|
2130 |
||
40406 | 2131 |
\item \hyperlink{command.HOL.code-const}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}const}}}} associates a list of constants |
37422 | 2132 |
with target-specific serializations; omitting a serialization |
2133 |
deletes an existing serialization. |
|
2134 |
||
40406 | 2135 |
\item \hyperlink{command.HOL.code-type}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}type}}}} associates a list of type |
37422 | 2136 |
constructors with target-specific serializations; omitting a |
2137 |
serialization deletes an existing serialization. |
|
2138 |
||
40406 | 2139 |
\item \hyperlink{command.HOL.code-class}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}class}}}} associates a list of classes |
37422 | 2140 |
with target-specific class names; omitting a serialization deletes |
2141 |
an existing serialization. This applies only to \emph{Haskell}. |
|
2142 |
||
40406 | 2143 |
\item \hyperlink{command.HOL.code-instance}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}instance}}}} declares a list of type |
37422 | 2144 |
constructor / class instance relations as ``already present'' for a |
40406 | 2145 |
given target. Omitting a ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{22}{\isachardoublequote}}}'' deletes an existing |
37422 | 2146 |
``already present'' declaration. This applies only to |
2147 |
\emph{Haskell}. |
|
2148 |
||
40406 | 2149 |
\item \hyperlink{command.HOL.code-reserved}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}reserved}}}} declares a list of names as |
37422 | 2150 |
reserved for a given target, preventing it to be shadowed by any |
2151 |
generated code. |
|
2152 |
||
40406 | 2153 |
\item \hyperlink{command.HOL.code-monad}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}monad}}}} provides an auxiliary mechanism |
37422 | 2154 |
to generate monadic code for Haskell. |
2155 |
||
40406 | 2156 |
\item \hyperlink{command.HOL.code-include}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}include}}}} adds arbitrary named content |
2157 |
(``include'') to generated code. A ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2D}{\isacharminus}}{\isaliteral{22}{\isachardoublequote}}}'' as last argument |
|
37422 | 2158 |
will remove an already added ``include''. |
2159 |
||
40406 | 2160 |
\item \hyperlink{command.HOL.code-modulename}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}modulename}}}} declares aliasings from one |
37422 | 2161 |
module name onto another. |
2162 |
||
40406 | 2163 |
\item \hyperlink{command.HOL.code-reflect}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}reflect}}}} without a ``\isa{{\isaliteral{22}{\isachardoublequote}}file{\isaliteral{22}{\isachardoublequote}}}'' |
39608 | 2164 |
argument compiles code into the system runtime environment and |
2165 |
modifies the code generator setup that future invocations of system |
|
40406 | 2166 |
runtime code generation referring to one of the ``\isa{{\isaliteral{22}{\isachardoublequote}}datatypes{\isaliteral{22}{\isachardoublequote}}}'' or ``\isa{{\isaliteral{22}{\isachardoublequote}}functions{\isaliteral{22}{\isachardoublequote}}}'' entities use these precompiled |
2167 |
entities. With a ``\isa{{\isaliteral{22}{\isachardoublequote}}file{\isaliteral{22}{\isachardoublequote}}}'' argument, the corresponding code |
|
39608 | 2168 |
is generated into that specified file without modifying the code |
2169 |
generator setup. |
|
2170 |
||
42627
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moved material about old codegen to isar-ref manual;
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changeset
|
2171 |
\end{description}% |
8749742785b8
moved material about old codegen to isar-ref manual;
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changeset
|
2172 |
\end{isamarkuptext}% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2173 |
\isamarkuptrue% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2174 |
% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2175 |
\isamarkupsubsection{The old code generator (S. Berghofer)% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2176 |
} |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2177 |
\isamarkuptrue% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2178 |
% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2179 |
\begin{isamarkuptext}% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2180 |
This framework generates code from both functional and |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2181 |
relational programs to SML, as explained below. |
26849 | 2182 |
|
2183 |
\begin{matharray}{rcl} |
|
42627
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2184 |
\indexdef{}{command}{code\_module}\hypertarget{command.code-module}{\hyperlink{command.code-module}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}module}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2185 |
\indexdef{}{command}{code\_library}\hypertarget{command.code-library}{\hyperlink{command.code-library}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}library}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2186 |
\indexdef{}{command}{consts\_code}\hypertarget{command.consts-code}{\hyperlink{command.consts-code}{\mbox{\isa{\isacommand{consts{\isaliteral{5F}{\isacharunderscore}}code}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2187 |
\indexdef{}{command}{types\_code}\hypertarget{command.types-code}{\hyperlink{command.types-code}{\mbox{\isa{\isacommand{types{\isaliteral{5F}{\isacharunderscore}}code}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ theory{\isaliteral{22}{\isachardoublequote}}} \\ |
42626 | 2188 |
\indexdef{}{attribute}{code}\hypertarget{attribute.code}{\hyperlink{attribute.code}{\mbox{\isa{code}}}} & : & \isa{attribute} \\ |
26849 | 2189 |
\end{matharray} |
2190 |
||
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
2191 |
\begin{railoutput} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2192 |
\rail@begin{11}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2193 |
\rail@bar |
42627
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2194 |
\rail@term{\hyperlink{command.code-module}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}module}}}}}[] |
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2195 |
\rail@nextbar{1} |
42627
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2196 |
\rail@term{\hyperlink{command.code-library}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}library}}}}}[] |
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2197 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2198 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2199 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2200 |
\rail@nont{\isa{modespec}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2201 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2202 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2203 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2204 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2205 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2206 |
\rail@cr{3} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2207 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2208 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2209 |
\rail@term{\isa{\isakeyword{file}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2210 |
\rail@nont{\isa{name}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2211 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2212 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2213 |
\rail@nextbar{4} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2214 |
\rail@term{\isa{\isakeyword{imports}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2215 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2216 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2217 |
\rail@nextplus{5} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2218 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2219 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2220 |
\rail@cr{7} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2221 |
\rail@term{\isa{\isakeyword{contains}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2222 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2223 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2224 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2225 |
\rail@term{\isa{{\isaliteral{3D}{\isacharequal}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2226 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2227 |
\rail@nextplus{8} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2228 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2229 |
\rail@nextbar{9} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2230 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2231 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2232 |
\rail@nextplus{10} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2233 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2234 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2235 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2236 |
\rail@begin{2}{\isa{modespec}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2237 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2238 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2239 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2240 |
\rail@cnont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2241 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2242 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2243 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2244 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2245 |
\rail@term{\hyperlink{command.HOL.consts-code}{\mbox{\isa{\isacommand{consts{\isaliteral{5F}{\isacharunderscore}}code}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
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diff
changeset
|
2246 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2247 |
\rail@nont{\isa{codespec}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2248 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2249 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2250 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2251 |
\rail@begin{2}{\isa{codespec}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2252 |
\rail@nont{\isa{const}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2253 |
\rail@nont{\isa{template}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2254 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2255 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2256 |
\rail@nont{\isa{attachment}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2257 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2258 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2259 |
\rail@begin{2}{\isa{}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2260 |
\rail@term{\hyperlink{command.HOL.types-code}{\mbox{\isa{\isacommand{types{\isaliteral{5F}{\isacharunderscore}}code}}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2261 |
\rail@plus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2262 |
\rail@nont{\isa{tycodespec}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2263 |
\rail@nextplus{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2264 |
\rail@endplus |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2265 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2266 |
\rail@begin{2}{\isa{tycodespec}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2267 |
\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2268 |
\rail@nont{\isa{template}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2269 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2270 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2271 |
\rail@nont{\isa{attachment}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2272 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2273 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2274 |
\rail@begin{1}{\isa{const}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2275 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2276 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2277 |
\rail@begin{1}{\isa{template}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2278 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2279 |
\rail@nont{\hyperlink{syntax.string}{\mbox{\isa{string}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2280 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2281 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2282 |
\rail@begin{2}{\isa{attachment}} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2283 |
\rail@term{\isa{attach}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2284 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2285 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2286 |
\rail@nont{\isa{modespec}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2287 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2288 |
\rail@term{\isa{{\isaliteral{7B}{\isacharbraceleft}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2289 |
\rail@nont{\hyperlink{syntax.text}{\mbox{\isa{text}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2290 |
\rail@term{\isa{{\isaliteral{7D}{\isacharbraceright}}}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2291 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2292 |
\rail@begin{2}{\isa{}} |
42626 | 2293 |
\rail@term{\hyperlink{attribute.code}{\mbox{\isa{code}}}}[] |
42596
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2294 |
\rail@bar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2295 |
\rail@nextbar{1} |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2296 |
\rail@nont{\isa{name}}[] |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2297 |
\rail@endbar |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2298 |
\rail@end |
6c621a9d612a
modernized rail diagrams using @{rail} antiquotation;
wenzelm
parents:
42215
diff
changeset
|
2299 |
\end{railoutput}% |
26849 | 2300 |
\end{isamarkuptext}% |
2301 |
\isamarkuptrue% |
|
2302 |
% |
|
42627
8749742785b8
moved material about old codegen to isar-ref manual;
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parents:
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diff
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|
2303 |
\isamarkupsubsubsection{Invoking the code generator% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2304 |
} |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2305 |
\isamarkuptrue% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2306 |
% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2307 |
\begin{isamarkuptext}% |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2308 |
The code generator is invoked via the \hyperlink{command.code-module}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}module}}}} |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2309 |
and \hyperlink{command.code-library}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}library}}}} commands, which correspond to |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2310 |
\emph{incremental} and \emph{modular} code generation, respectively. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2311 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2312 |
\begin{description} |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2313 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2314 |
\item [Modular] For each theory, an ML structure is generated, |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2315 |
containing the code generated from the constants defined in this |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2316 |
theory. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2317 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2318 |
\item [Incremental] All the generated code is emitted into the same |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2319 |
structure. This structure may import code from previously generated |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2320 |
structures, which can be specified via \hyperlink{keyword.imports}{\mbox{\isa{\isakeyword{imports}}}}. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2321 |
Moreover, the generated structure may also be referred to in later |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2322 |
invocations of the code generator. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2323 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2324 |
\end{description} |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2325 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2326 |
After the \hyperlink{command.code-module}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}module}}}} and \hyperlink{command.code-library}{\mbox{\isa{\isacommand{code{\isaliteral{5F}{\isacharunderscore}}library}}}} |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2327 |
keywords, the user may specify an optional list of ``modes'' in |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2328 |
parentheses. These can be used to instruct the code generator to |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2329 |
emit additional code for special purposes, e.g.\ functions for |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2330 |
converting elements of generated datatypes to Isabelle terms, or |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2331 |
test data generators. The list of modes is followed by a module |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2332 |
name. The module name is optional for modular code generation, but |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2333 |
must be specified for incremental code generation. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2334 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2335 |
The code can either be written to a file, in which case a file name |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2336 |
has to be specified after the \hyperlink{keyword.file}{\mbox{\isa{\isakeyword{file}}}} keyword, or be loaded |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2337 |
directly into Isabelle's ML environment. In the latter case, the |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
42626
diff
changeset
|
2338 |
\hyperlink{command.ML}{\mbox{\isa{\isacommand{ML}}}} theory command can be used to inspect the results |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2339 |
interactively, for example. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2340 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2341 |
The terms from which to generate code can be specified after the |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2342 |
\hyperlink{keyword.contains}{\mbox{\isa{\isakeyword{contains}}}} keyword, either as a list of bindings, or just |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2343 |
as a list of terms. In the latter case, the code generator just |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2344 |
produces code for all constants and types occuring in the term, but |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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diff
changeset
|
2345 |
does not bind the compiled terms to ML identifiers. |
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2346 |
|
8749742785b8
moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2347 |
Here is an example:% |
8749742785b8
moved material about old codegen to isar-ref manual;
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parents:
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changeset
|
2348 |
\end{isamarkuptext}% |
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wenzelm
parents:
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changeset
|
2349 |
\isamarkuptrue% |
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moved material about old codegen to isar-ref manual;
wenzelm
parents:
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changeset
|
2350 |
\isacommand{code{\isaliteral{5F}{\isacharunderscore}}module}\isamarkupfalse% |
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moved material about old codegen to isar-ref manual;
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parents:
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changeset
|
2351 |
\ Test\isanewline |
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moved material about old codegen to isar-ref manual;
wenzelm
parents:
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|
2352 |
\ \ \isakeyword{contains}\ test\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{22}{\isachardoublequoteopen}}foldl\ op\ {\isaliteral{2B}{\isacharplus}}\ {\isaliteral{28}{\isacharparenleft}}{\isadigit{0}}\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ int{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5B}{\isacharbrackleft}}{\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isadigit{2}}{\isaliteral{2C}{\isacharcomma}}\ {\isadigit{3}}{\isaliteral{2C}{\isacharcomma}}\ {\isadigit{4}}{\isaliteral{2C}{\isacharcomma}}\ {\isadigit{5}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequoteclose}}% |
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parents:
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changeset
|
2353 |
\begin{isamarkuptext}% |
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changeset
|
2354 |
\noindent This binds the result of compiling the given term to |
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moved material about old codegen to isar-ref manual;
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parents:
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changeset
|
2355 |
the ML identifier \verb|Test.test|.% |
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parents:
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changeset
|
2356 |
\end{isamarkuptext}% |
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parents:
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changeset
|
2357 |
\isamarkuptrue% |
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parents:
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changeset
|
2358 |
% |
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parents:
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changeset
|
2359 |
\isadelimML |
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parents:
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changeset
|
2360 |
% |
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changeset
|
2361 |
\endisadelimML |
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parents:
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changeset
|
2362 |
% |
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changeset
|
2363 |
\isatagML |
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parents:
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changeset
|
2364 |
\isacommand{ML}\isamarkupfalse% |
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|
2365 |
\ {\isaliteral{7B2A}{\isacharverbatimopen}}\ % |
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changeset
|
2366 |
\isaantiq |
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2367 |
assert{}% |
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2368 |
\endisaantiq |
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2369 |
\ {\isaliteral{28}{\isacharparenleft}}Test{\isaliteral{2E}{\isachardot}}test\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{1}}{\isadigit{5}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{2A7D}{\isacharverbatimclose}}% |
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|
2370 |
\endisatagML |
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2371 |
{\isafoldML}% |
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|
2372 |
% |
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2373 |
\isadelimML |
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|
2374 |
% |
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|
2375 |
\endisadelimML |
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|
2376 |
% |
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2377 |
\isamarkupsubsubsection{Configuring the code generator% |
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|
2378 |
} |
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2379 |
\isamarkuptrue% |
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|
2380 |
% |
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2381 |
\begin{isamarkuptext}% |
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2382 |
When generating code for a complex term, the code generator |
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2383 |
recursively calls itself for all subterms. When it arrives at a |
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2384 |
constant, the default strategy of the code generator is to look up |
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|
2385 |
its definition and try to generate code for it. Constants which |
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|
2386 |
have no definitions that are immediately executable, may be |
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2387 |
associated with a piece of ML code manually using the \indexref{}{command}{consts\_code}\hyperlink{command.consts-code}{\mbox{\isa{\isacommand{consts{\isaliteral{5F}{\isacharunderscore}}code}}}} command. It takes a list whose elements consist of a |
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2388 |
constant (given in usual term syntax -- an explicit type constraint |
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|
2389 |
accounts for overloading), and a mixfix template describing the ML |
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|
2390 |
code. The latter is very much the same as the mixfix templates used |
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|
2391 |
when declaring new constants. The most notable difference is that |
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2392 |
terms may be included in the ML template using antiquotation |
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2393 |
brackets \verb|{|\verb|*|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{2E}{\isachardot}}{\isaliteral{22}{\isachardoublequote}}}~\verb|*|\verb|}|. |
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|
2394 |
|
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2395 |
A similar mechanism is available for types: \indexref{}{command}{types\_code}\hyperlink{command.types-code}{\mbox{\isa{\isacommand{types{\isaliteral{5F}{\isacharunderscore}}code}}}} associates type constructors with specific ML code. |
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|
2396 |
|
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|
2397 |
For example, the following declarations copied from \verb|~~/src/HOL/Product_Type.thy| describe how the product type of |
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|
2398 |
Isabelle/HOL should be compiled to ML.% |
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|
2399 |
\end{isamarkuptext}% |
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|
2400 |
\isamarkuptrue% |
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2401 |
\isacommand{typedecl}\isamarkupfalse% |
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|
2402 |
\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{27}{\isacharprime}}a{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{27}{\isacharprime}}b{\isaliteral{29}{\isacharparenright}}\ prod\isanewline |
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|
2403 |
\isacommand{consts}\isamarkupfalse% |
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|
2404 |
\ Pair\ {\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{27}{\isacharprime}}a\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{27}{\isacharprime}}b\ {\isaliteral{5C3C52696768746172726F773E}{\isasymRightarrow}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{27}{\isacharprime}}a{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{27}{\isacharprime}}b{\isaliteral{29}{\isacharparenright}}\ prod{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
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|
2405 |
\isanewline |
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2406 |
\isacommand{types{\isaliteral{5F}{\isacharunderscore}}code}\isamarkupfalse% |
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2407 |
\ prod\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5F}{\isacharunderscore}}\ {\isaliteral{2A}{\isacharasterisk}}{\isaliteral{2F}{\isacharslash}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}{\isaliteral{29}{\isacharparenright}}\isanewline |
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|
2408 |
\isacommand{consts{\isaliteral{5F}{\isacharunderscore}}code}\isamarkupfalse% |
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|
2409 |
\ Pair\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{2F}{\isacharslash}}\ {\isaliteral{5F}{\isacharunderscore}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}{\isaliteral{29}{\isacharparenright}}% |
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|
2410 |
\begin{isamarkuptext}% |
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|
2411 |
Sometimes, the code associated with a constant or type may |
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|
2412 |
need to refer to auxiliary functions, which have to be emitted when |
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|
2413 |
the constant is used. Code for such auxiliary functions can be |
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|
2414 |
declared using \hyperlink{keyword.attach}{\mbox{\isa{\isakeyword{attach}}}}. For example, the \isa{wfrec} |
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|
2415 |
function can be implemented as follows:% |
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|
2416 |
\end{isamarkuptext}% |
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|
2417 |
\isamarkuptrue% |
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|
2418 |
\isacommand{consts{\isaliteral{5F}{\isacharunderscore}}code}\isamarkupfalse% |
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|
2419 |
\ wfrec\ \ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{5C3C6D6F64756C653E}{\isasymmodule}}wfrec{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequoteclose}}{\isaliteral{29}{\isacharparenright}}\ \ \isanewline |
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|
2420 |
\ \ \isakeyword{attach}\ {\isaliteral{7B2A}{\isacharverbatimopen}}\ fun\ wfrec\ f\ x\ {\isaliteral{3D}{\isacharequal}}\ f\ {\isaliteral{28}{\isacharparenleft}}wfrec\ f{\isaliteral{29}{\isacharparenright}}\ x\ {\isaliteral{2A7D}{\isacharverbatimclose}}% |
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|
2421 |
\begin{isamarkuptext}% |
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|
2422 |
If the code containing a call to \isa{wfrec} resides in an |
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|
2423 |
ML structure different from the one containing the function |
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|
2424 |
definition attached to \isa{wfrec}, the name of the ML structure |
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|
2425 |
(followed by a ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2E}{\isachardot}}{\isaliteral{22}{\isachardoublequote}}}'') is inserted in place of ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6D6F64756C653E}{\isasymmodule}}{\isaliteral{22}{\isachardoublequote}}}'' in the above template. The ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}}'' means that |
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|
2426 |
the code generator should ignore the first argument of \isa{wfrec}, i.e.\ the termination relation, which is usually not |
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|
2427 |
executable. |
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|
2428 |
|
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|
2429 |
\medskip Another possibility of configuring the code generator is to |
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|
2430 |
register theorems to be used for code generation. Theorems can be |
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|
2431 |
registered via the \hyperlink{attribute.code}{\mbox{\isa{code}}} attribute. It takes an optional |
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|
2432 |
name as an argument, which indicates the format of the |
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|
2433 |
theorem. Currently supported formats are equations (this is the |
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|
2434 |
default when no name is specified) and horn clauses (this is |
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|
2435 |
indicated by the name \texttt{ind}). The left-hand sides of |
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|
2436 |
equations may only contain constructors and distinct variables, |
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|
2437 |
whereas horn clauses must have the same format as introduction rules |
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|
2438 |
of inductive definitions. |
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|
2439 |
|
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|
2440 |
The following example specifies three equations from which to |
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|
2441 |
generate code for \isa{{\isaliteral{22}{\isachardoublequote}}op\ {\isaliteral{3C}{\isacharless}}{\isaliteral{22}{\isachardoublequote}}} on natural numbers (see also |
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|
2442 |
\verb|~~/src/HOL/Nat.thy|).% |
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|
2443 |
\end{isamarkuptext}% |
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2444 |
\isamarkuptrue% |
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2445 |
\isacommand{lemma}\isamarkupfalse% |
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|
2446 |
\ {\isaliteral{5B}{\isacharbrackleft}}code{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}Suc\ m\ {\isaliteral{3C}{\isacharless}}\ Suc\ n{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ {\isaliteral{28}{\isacharparenleft}}m\ {\isaliteral{3C}{\isacharless}}\ n{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
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|
2447 |
\ \ \isakeyword{and}\ {\isaliteral{5B}{\isacharbrackleft}}code{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}{\isaliteral{28}{\isacharparenleft}}n{\isaliteral{3A}{\isacharcolon}}{\isaliteral{3A}{\isacharcolon}}nat{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3C}{\isacharless}}\ {\isadigit{0}}{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ False{\isaliteral{22}{\isachardoublequoteclose}}\isanewline |
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|
2448 |
\ \ \isakeyword{and}\ {\isaliteral{5B}{\isacharbrackleft}}code{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{3A}{\isacharcolon}}\ {\isaliteral{22}{\isachardoublequoteopen}}{\isaliteral{28}{\isacharparenleft}}{\isadigit{0}}\ {\isaliteral{3C}{\isacharless}}\ Suc\ n{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{3D}{\isacharequal}}\ True{\isaliteral{22}{\isachardoublequoteclose}}% |
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|
2449 |
\isadelimproof |
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|
2450 |
\ % |
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|
2451 |
\endisadelimproof |
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|
2452 |
% |
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|
2453 |
\isatagproof |
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|
2454 |
\isacommand{by}\isamarkupfalse% |
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|
2455 |
\ simp{\isaliteral{5F}{\isacharunderscore}}all% |
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|
2456 |
\endisatagproof |
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|
2457 |
{\isafoldproof}% |
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|
2458 |
% |
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|
2459 |
\isadelimproof |
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|
2460 |
% |
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|
2461 |
\endisadelimproof |
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|
2462 |
% |
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2463 |
\isamarkupsubsubsection{Specific HOL code generators% |
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2464 |
} |
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2465 |
\isamarkuptrue% |
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|
2466 |
% |
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2467 |
\begin{isamarkuptext}% |
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2468 |
The basic code generator framework offered by Isabelle/Pure |
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2469 |
has already been extended with additional code generators for |
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|
2470 |
specific HOL constructs. These include datatypes, recursive |
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|
2471 |
functions and inductive relations. The code generator for inductive |
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|
2472 |
relations can handle expressions of the form \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}t\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{2C}{\isacharcomma}}\ t\isaliteral{5C3C5E7375623E}{}\isactrlsub n{\isaliteral{29}{\isacharparenright}}\ {\isaliteral{5C3C696E3E}{\isasymin}}\ r{\isaliteral{22}{\isachardoublequote}}}, where \isa{{\isaliteral{22}{\isachardoublequote}}r{\isaliteral{22}{\isachardoublequote}}} is an inductively defined relation. If at |
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|
2473 |
least one of the \isa{{\isaliteral{22}{\isachardoublequote}}t\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} is a dummy pattern ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5F}{\isacharunderscore}}{\isaliteral{22}{\isachardoublequote}}}'', |
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2474 |
the above expression evaluates to a sequence of possible answers. If |
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|
2475 |
all of the \isa{{\isaliteral{22}{\isachardoublequote}}t\isaliteral{5C3C5E7375623E}{}\isactrlsub i{\isaliteral{22}{\isachardoublequote}}} are proper terms, the expression evaluates |
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|
2476 |
to a boolean value. |
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|
2477 |
|
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|
2478 |
%FIXME |
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|
2479 |
%\begin{ttbox} |
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|
2480 |
% theory Test = Lambda: |
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|
2481 |
% |
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|
2482 |
% code_module Test |
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changeset
|
2483 |
% contains |
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|
2484 |
% test1 = "Abs (Var 0) \(\circ\) Var 0 -> Var 0" |
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|
2485 |
% test2 = "Abs (Abs (Var 0 \(\circ\) Var 0) \(\circ\) (Abs (Var 0) \(\circ\) Var 0)) -> _" |
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|
2486 |
%\end{ttbox} |
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|
2487 |
%In the above example, \texttt{Test.test1} evaluates to the boolean |
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|
2488 |
%value \texttt{true}, whereas \texttt{Test.test2} is a sequence whose |
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|
2489 |
%elements can be inspected using \texttt{Seq.pull} or similar functions. |
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|
2490 |
%\begin{ttbox} |
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|
2491 |
%ML \{* Seq.pull Test.test2 *\} -- \{* This is the first answer *\} |
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|
2492 |
%ML \{* Seq.pull (snd (the it)) *\} -- \{* This is the second answer *\} |
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|
2493 |
%\end{ttbox} |
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|
2494 |
|
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|
2495 |
\medskip The theory underlying the HOL code generator is described |
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|
2496 |
more detailed in \cite{Berghofer-Nipkow:2002}. More examples that |
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|
2497 |
illustrate the usage of the code generator can be found e.g.\ in |
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|
2498 |
\verb|~~/src/HOL/MicroJava/J/JListExample.thy| and \verb|~~/src/HOL/MicroJava/JVM/JVMListExample.thy|.% |
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|
2499 |
\end{isamarkuptext}% |
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|
2500 |
\isamarkuptrue% |
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|
2501 |
% |
27047 | 2502 |
\isamarkupsection{Definition by specification \label{sec:hol-specification}% |
2503 |
} |
|
2504 |
\isamarkuptrue% |
|
2505 |
% |
|
2506 |
\begin{isamarkuptext}% |
|
2507 |
\begin{matharray}{rcl} |
|
40406 | 2508 |
\indexdef{HOL}{command}{specification}\hypertarget{command.HOL.specification}{\hyperlink{command.HOL.specification}{\mbox{\isa{\isacommand{specification}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
2509 |
\indexdef{HOL}{command}{ax\_specification}\hypertarget{command.HOL.ax-specification}{\hyperlink{command.HOL.ax-specification}{\mbox{\isa{\isacommand{ax{\isaliteral{5F}{\isacharunderscore}}specification}}}}} & : & \isa{{\isaliteral{22}{\isachardoublequote}}theory\ {\isaliteral{5C3C72696768746172726F773E}{\isasymrightarrow}}\ proof{\isaliteral{28}{\isacharparenleft}}prove{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ |
|
27047 | 2510 |
\end{matharray} |
2511 |
||
42596
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2512 |
\begin{railoutput} |
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2513 |
\rail@begin{6}{\isa{}} |
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|
2514 |
\rail@bar |
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2515 |
\rail@term{\hyperlink{command.HOL.specification}{\mbox{\isa{\isacommand{specification}}}}}[] |
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2516 |
\rail@nextbar{1} |
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2517 |
\rail@term{\hyperlink{command.HOL.ax-specification}{\mbox{\isa{\isacommand{ax{\isaliteral{5F}{\isacharunderscore}}specification}}}}}[] |
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|
2518 |
\rail@endbar |
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2519 |
\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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|
2520 |
\rail@plus |
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|
2521 |
\rail@nont{\isa{decl}}[] |
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|
2522 |
\rail@nextplus{1} |
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|
2523 |
\rail@endplus |
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2524 |
\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
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|
2525 |
\rail@cr{3} |
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|
2526 |
\rail@plus |
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|
2527 |
\rail@bar |
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2528 |
\rail@nextbar{4} |
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\rail@nont{\hyperlink{syntax.thmdecl}{\mbox{\isa{thmdecl}}}}[] |
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2530 |
\rail@endbar |
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2531 |
\rail@nont{\hyperlink{syntax.prop}{\mbox{\isa{prop}}}}[] |
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\rail@nextplus{5} |
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|
2533 |
\rail@endplus |
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|
2534 |
\rail@end |
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2535 |
\rail@begin{2}{\isa{decl}} |
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|
2536 |
\rail@bar |
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2537 |
\rail@nextbar{1} |
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\rail@nont{\hyperlink{syntax.name}{\mbox{\isa{name}}}}[] |
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\rail@term{\isa{{\isaliteral{3A}{\isacharcolon}}}}[] |
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2540 |
\rail@endbar |
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2541 |
\rail@nont{\hyperlink{syntax.term}{\mbox{\isa{term}}}}[] |
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\rail@term{\isa{{\isaliteral{28}{\isacharparenleft}}}}[] |
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\rail@term{\isa{\isakeyword{overloaded}}}[] |
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2544 |
\rail@bar |
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2545 |
\rail@nextbar{1} |
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\rail@term{\isa{{\isaliteral{29}{\isacharparenright}}}}[] |
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\rail@endbar |
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2548 |
\rail@end |
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2549 |
\end{railoutput} |
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2550 |
|
27047 | 2551 |
|
28788 | 2552 |
\begin{description} |
27047 | 2553 |
|
40406 | 2554 |
\item \hyperlink{command.HOL.specification}{\mbox{\isa{\isacommand{specification}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}decls\ {\isaliteral{5C3C7068693E}{\isasymphi}}{\isaliteral{22}{\isachardoublequote}}} sets up a |
27047 | 2555 |
goal stating the existence of terms with the properties specified to |
2556 |
hold for the constants given in \isa{decls}. After finishing the |
|
2557 |
proof, the theory will be augmented with definitions for the given |
|
2558 |
constants, as well as with theorems stating the properties for these |
|
2559 |
constants. |
|
2560 |
||
40406 | 2561 |
\item \hyperlink{command.HOL.ax-specification}{\mbox{\isa{\isacommand{ax{\isaliteral{5F}{\isacharunderscore}}specification}}}}~\isa{{\isaliteral{22}{\isachardoublequote}}decls\ {\isaliteral{5C3C7068693E}{\isasymphi}}{\isaliteral{22}{\isachardoublequote}}} sets up |
28788 | 2562 |
a goal stating the existence of terms with the properties specified |
2563 |
to hold for the constants given in \isa{decls}. After finishing |
|
2564 |
the proof, the theory will be augmented with axioms expressing the |
|
2565 |
properties given in the first place. |
|
27047 | 2566 |
|
28788 | 2567 |
\item \isa{decl} declares a constant to be defined by the |
27047 | 2568 |
specification given. The definition for the constant \isa{c} is |
40406 | 2569 |
bound to the name \isa{c{\isaliteral{5F}{\isacharunderscore}}def} unless a theorem name is given in |
27047 | 2570 |
the declaration. Overloaded constants should be declared as such. |
2571 |
||
28788 | 2572 |
\end{description} |
27047 | 2573 |
|
40406 | 2574 |
Whether to use \hyperlink{command.HOL.specification}{\mbox{\isa{\isacommand{specification}}}} or \hyperlink{command.HOL.ax-specification}{\mbox{\isa{\isacommand{ax{\isaliteral{5F}{\isacharunderscore}}specification}}}} is to some extent a matter of style. \hyperlink{command.HOL.specification}{\mbox{\isa{\isacommand{specification}}}} introduces no new axioms, and so by |
2575 |
construction cannot introduce inconsistencies, whereas \hyperlink{command.HOL.ax-specification}{\mbox{\isa{\isacommand{ax{\isaliteral{5F}{\isacharunderscore}}specification}}}} does introduce axioms, but only after the |
|
27047 | 2576 |
user has explicitly proven it to be safe. A practical issue must be |
2577 |
considered, though: After introducing two constants with the same |
|
2578 |
properties using \hyperlink{command.HOL.specification}{\mbox{\isa{\isacommand{specification}}}}, one can prove |
|
2579 |
that the two constants are, in fact, equal. If this might be a |
|
40406 | 2580 |
problem, one should use \hyperlink{command.HOL.ax-specification}{\mbox{\isa{\isacommand{ax{\isaliteral{5F}{\isacharunderscore}}specification}}}}.% |
27047 | 2581 |
\end{isamarkuptext}% |
2582 |
\isamarkuptrue% |
|
2583 |
% |
|
26849 | 2584 |
\isadelimtheory |
2585 |
% |
|
2586 |
\endisadelimtheory |
|
2587 |
% |
|
2588 |
\isatagtheory |
|
26840 | 2589 |
\isacommand{end}\isamarkupfalse% |
2590 |
% |
|
2591 |
\endisatagtheory |
|
2592 |
{\isafoldtheory}% |
|
2593 |
% |
|
2594 |
\isadelimtheory |
|
2595 |
% |
|
2596 |
\endisadelimtheory |
|
26849 | 2597 |
\isanewline |
26840 | 2598 |
\end{isabellebody}% |
2599 |
%%% Local Variables: |
|
2600 |
%%% mode: latex |
|
2601 |
%%% TeX-master: "root" |
|
2602 |
%%% End: |