diff -r 42671298f037 -r 313a24b66a8d doc-src/IsarRef/Thy/document/ML_Tactic.tex --- a/doc-src/IsarRef/Thy/document/ML_Tactic.tex Sun Nov 07 23:32:26 2010 +0100 +++ b/doc-src/IsarRef/Thy/document/ML_Tactic.tex Mon Nov 08 00:00:47 2010 +0100 @@ -1,6 +1,6 @@ % \begin{isabellebody}% -\def\isabellecontext{ML{\isacharunderscore}Tactic}% +\def\isabellecontext{ML{\isaliteral{5F}{\isacharunderscore}}Tactic}% % \isadelimtheory % @@ -8,7 +8,7 @@ % \isatagtheory \isacommand{theory}\isamarkupfalse% -\ ML{\isacharunderscore}Tactic\isanewline +\ ML{\isaliteral{5F}{\isacharunderscore}}Tactic\isanewline \isakeyword{imports}\ Main\isanewline \isakeyword{begin}% \endisatagtheory @@ -65,8 +65,8 @@ \end{enumerate} - Basically, the set of Isar tactic emulations \hyperlink{method.rule-tac}{\mbox{\isa{rule{\isacharunderscore}tac}}}, - \hyperlink{method.erule-tac}{\mbox{\isa{erule{\isacharunderscore}tac}}}, \hyperlink{method.drule-tac}{\mbox{\isa{drule{\isacharunderscore}tac}}}, \hyperlink{method.frule-tac}{\mbox{\isa{frule{\isacharunderscore}tac}}} (see + Basically, the set of Isar tactic emulations \hyperlink{method.rule-tac}{\mbox{\isa{rule{\isaliteral{5F}{\isacharunderscore}}tac}}}, + \hyperlink{method.erule-tac}{\mbox{\isa{erule{\isaliteral{5F}{\isacharunderscore}}tac}}}, \hyperlink{method.drule-tac}{\mbox{\isa{drule{\isaliteral{5F}{\isacharunderscore}}tac}}}, \hyperlink{method.frule-tac}{\mbox{\isa{frule{\isaliteral{5F}{\isacharunderscore}}tac}}} (see \secref{sec:tactics}) would be sufficient to cover the four modes, either with or without instantiation, and either with single or multiple arguments. Although it is more convenient in most cases to @@ -74,21 +74,21 @@ \secref{sec:pure-meth-att}), or any of its ``improper'' variants \hyperlink{method.erule}{\mbox{\isa{erule}}}, \hyperlink{method.drule}{\mbox{\isa{drule}}}, \hyperlink{method.frule}{\mbox{\isa{frule}}} (see \secref{sec:misc-meth-att}). Note that explicit goal addressing is - only supported by the actual \hyperlink{method.rule-tac}{\mbox{\isa{rule{\isacharunderscore}tac}}} version. + only supported by the actual \hyperlink{method.rule-tac}{\mbox{\isa{rule{\isaliteral{5F}{\isacharunderscore}}tac}}} version. With this in mind, plain resolution tactics correspond to Isar methods as follows. \medskip \begin{tabular}{lll} - \verb|rtac|~\isa{{\isachardoublequote}a\ {\isadigit{1}}{\isachardoublequote}} & & \isa{{\isachardoublequote}rule\ a{\isachardoublequote}} \\ - \verb|resolve_tac|~\isa{{\isachardoublequote}{\isacharbrackleft}a\isactrlsub {\isadigit{1}}{\isacharcomma}\ {\isasymdots}{\isacharbrackright}\ {\isadigit{1}}{\isachardoublequote}} & & \isa{{\isachardoublequote}rule\ a\isactrlsub {\isadigit{1}}\ {\isasymdots}{\isachardoublequote}} \\ - \verb|res_inst_tac|~\isa{{\isachardoublequote}ctxt\ {\isacharbrackleft}{\isacharparenleft}x\isactrlsub {\isadigit{1}}{\isacharcomma}\ t\isactrlsub {\isadigit{1}}{\isacharparenright}{\isacharcomma}\ {\isasymdots}{\isacharbrackright}\ a\ {\isadigit{1}}{\isachardoublequote}} & & - \isa{{\isachardoublequote}rule{\isacharunderscore}tac\ x\isactrlsub {\isadigit{1}}\ {\isacharequal}\ t\isactrlsub {\isadigit{1}}\ {\isasymAND}\ {\isasymdots}\ {\isasymIN}\ a{\isachardoublequote}} \\[0.5ex] - \verb|rtac|~\isa{{\isachardoublequote}a\ i{\isachardoublequote}} & & \isa{{\isachardoublequote}rule{\isacharunderscore}tac\ {\isacharbrackleft}i{\isacharbrackright}\ a{\isachardoublequote}} \\ - \verb|resolve_tac|~\isa{{\isachardoublequote}{\isacharbrackleft}a\isactrlsub {\isadigit{1}}{\isacharcomma}\ {\isasymdots}{\isacharbrackright}\ i{\isachardoublequote}} & & \isa{{\isachardoublequote}rule{\isacharunderscore}tac\ {\isacharbrackleft}i{\isacharbrackright}\ a\isactrlsub {\isadigit{1}}\ {\isasymdots}{\isachardoublequote}} \\ - \verb|res_inst_tac|~\isa{{\isachardoublequote}ctxt\ {\isacharbrackleft}{\isacharparenleft}x\isactrlsub {\isadigit{1}}{\isacharcomma}\ t\isactrlsub {\isadigit{1}}{\isacharparenright}{\isacharcomma}\ {\isasymdots}{\isacharbrackright}\ a\ i{\isachardoublequote}} & & - \isa{{\isachardoublequote}rule{\isacharunderscore}tac\ {\isacharbrackleft}i{\isacharbrackright}\ x\isactrlsub {\isadigit{1}}\ {\isacharequal}\ t\isactrlsub {\isadigit{1}}\ {\isasymAND}\ {\isasymdots}\ {\isasymIN}\ a{\isachardoublequote}} \\ + \verb|rtac|~\isa{{\isaliteral{22}{\isachardoublequote}}a\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}rule\ a{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|resolve_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}a\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5D}{\isacharbrackright}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}rule\ a\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|res_inst_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}ctxt\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}x\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ t\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5D}{\isacharbrackright}}\ a\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & + \isa{{\isaliteral{22}{\isachardoublequote}}rule{\isaliteral{5F}{\isacharunderscore}}tac\ x\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\ t\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C414E443E}{\isasymAND}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C494E3E}{\isasymIN}}\ a{\isaliteral{22}{\isachardoublequote}}} \\[0.5ex] + \verb|rtac|~\isa{{\isaliteral{22}{\isachardoublequote}}a\ i{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}rule{\isaliteral{5F}{\isacharunderscore}}tac\ {\isaliteral{5B}{\isacharbrackleft}}i{\isaliteral{5D}{\isacharbrackright}}\ a{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|resolve_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}a\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5D}{\isacharbrackright}}\ i{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}rule{\isaliteral{5F}{\isacharunderscore}}tac\ {\isaliteral{5B}{\isacharbrackleft}}i{\isaliteral{5D}{\isacharbrackright}}\ a\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|res_inst_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}ctxt\ {\isaliteral{5B}{\isacharbrackleft}}{\isaliteral{28}{\isacharparenleft}}x\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ t\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5D}{\isacharbrackright}}\ a\ i{\isaliteral{22}{\isachardoublequote}}} & & + \isa{{\isaliteral{22}{\isachardoublequote}}rule{\isaliteral{5F}{\isacharunderscore}}tac\ {\isaliteral{5B}{\isacharbrackleft}}i{\isaliteral{5D}{\isacharbrackright}}\ x\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{3D}{\isacharequal}}\ t\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{5C3C414E443E}{\isasymAND}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}\ {\isaliteral{5C3C494E3E}{\isasymIN}}\ a{\isaliteral{22}{\isachardoublequote}}} \\ \end{tabular} \medskip @@ -104,19 +104,19 @@ \begin{isamarkuptext}% The main Simplifier tactics \verb|simp_tac| and variants (cf.\ \cite{isabelle-ref}) are all covered by the \hyperlink{method.simp}{\mbox{\isa{simp}}} and - \hyperlink{method.simp-all}{\mbox{\isa{simp{\isacharunderscore}all}}} methods (see \secref{sec:simplifier}). Note that + \hyperlink{method.simp-all}{\mbox{\isa{simp{\isaliteral{5F}{\isacharunderscore}}all}}} methods (see \secref{sec:simplifier}). Note that there is no individual goal addressing available, simplification acts either on the first goal (\hyperlink{method.simp}{\mbox{\isa{simp}}}) or all goals - (\hyperlink{method.simp-all}{\mbox{\isa{simp{\isacharunderscore}all}}}). + (\hyperlink{method.simp-all}{\mbox{\isa{simp{\isaliteral{5F}{\isacharunderscore}}all}}}). \medskip \begin{tabular}{lll} - \verb|asm_full_simp_tac|~\isa{{\isachardoublequote}{\isacharat}{\isacharbraceleft}simpset{\isacharbraceright}\ {\isadigit{1}}{\isachardoublequote}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}} \\ - \verb|ALLGOALS|~(\verb|asm_full_simp_tac|~\isa{{\isachardoublequote}{\isacharat}{\isacharbraceleft}simpset{\isacharbraceright}{\isachardoublequote}}) & & \hyperlink{method.simp-all}{\mbox{\isa{simp{\isacharunderscore}all}}} \\[0.5ex] - \verb|simp_tac|~\isa{{\isachardoublequote}{\isacharat}{\isacharbraceleft}simpset{\isacharbraceright}\ {\isadigit{1}}{\isachardoublequote}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isachardoublequote}{\isacharparenleft}no{\isacharunderscore}asm{\isacharparenright}{\isachardoublequote}} \\ - \verb|asm_simp_tac|~\isa{{\isachardoublequote}{\isacharat}{\isacharbraceleft}simpset{\isacharbraceright}\ {\isadigit{1}}{\isachardoublequote}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isachardoublequote}{\isacharparenleft}no{\isacharunderscore}asm{\isacharunderscore}simp{\isacharparenright}{\isachardoublequote}} \\ - \verb|full_simp_tac|~\isa{{\isachardoublequote}{\isacharat}{\isacharbraceleft}simpset{\isacharbraceright}\ {\isadigit{1}}{\isachardoublequote}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isachardoublequote}{\isacharparenleft}no{\isacharunderscore}asm{\isacharunderscore}use{\isacharparenright}{\isachardoublequote}} \\ - \verb|asm_lr_simp_tac|~\isa{{\isachardoublequote}{\isacharat}{\isacharbraceleft}simpset{\isacharbraceright}\ {\isadigit{1}}{\isachardoublequote}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isachardoublequote}{\isacharparenleft}asm{\isacharunderscore}lr{\isacharparenright}{\isachardoublequote}} \\ + \verb|asm_full_simp_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{40}{\isacharat}}{\isaliteral{7B}{\isacharbraceleft}}simpset{\isaliteral{7D}{\isacharbraceright}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}} \\ + \verb|ALLGOALS|~(\verb|asm_full_simp_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{40}{\isacharat}}{\isaliteral{7B}{\isacharbraceleft}}simpset{\isaliteral{7D}{\isacharbraceright}}{\isaliteral{22}{\isachardoublequote}}}) & & \hyperlink{method.simp-all}{\mbox{\isa{simp{\isaliteral{5F}{\isacharunderscore}}all}}} \\[0.5ex] + \verb|simp_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{40}{\isacharat}}{\isaliteral{7B}{\isacharbraceleft}}simpset{\isaliteral{7D}{\isacharbraceright}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}no{\isaliteral{5F}{\isacharunderscore}}asm{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|asm_simp_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{40}{\isacharat}}{\isaliteral{7B}{\isacharbraceleft}}simpset{\isaliteral{7D}{\isacharbraceright}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}no{\isaliteral{5F}{\isacharunderscore}}asm{\isaliteral{5F}{\isacharunderscore}}simp{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|full_simp_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{40}{\isacharat}}{\isaliteral{7B}{\isacharbraceleft}}simpset{\isaliteral{7D}{\isacharbraceright}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}no{\isaliteral{5F}{\isacharunderscore}}asm{\isaliteral{5F}{\isacharunderscore}}use{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|asm_lr_simp_tac|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{40}{\isacharat}}{\isaliteral{7B}{\isacharbraceleft}}simpset{\isaliteral{7D}{\isacharbraceright}}\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \hyperlink{method.simp}{\mbox{\isa{simp}}}~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}asm{\isaliteral{5F}{\isacharunderscore}}lr{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}} \\ \end{tabular} \medskip% \end{isamarkuptext}% @@ -145,12 +145,12 @@ \medskip \begin{tabular}{lll} - \verb|stac|~\isa{{\isachardoublequote}a\ {\isadigit{1}}{\isachardoublequote}} & & \isa{{\isachardoublequote}subst\ a{\isachardoublequote}} \\ + \verb|stac|~\isa{{\isaliteral{22}{\isachardoublequote}}a\ {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}subst\ a{\isaliteral{22}{\isachardoublequote}}} \\ \verb|hyp_subst_tac|~\isa{{\isadigit{1}}} & & \isa{hypsubst} \\ - \verb|strip_tac|~\isa{{\isadigit{1}}} & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} & \isa{{\isachardoublequote}intro\ strip{\isachardoublequote}} \\ - \verb|split_all_tac|~\isa{{\isadigit{1}}} & & \isa{{\isachardoublequote}simp\ {\isacharparenleft}no{\isacharunderscore}asm{\isacharunderscore}simp{\isacharparenright}\ only{\isacharcolon}\ split{\isacharunderscore}tupled{\isacharunderscore}all{\isachardoublequote}} \\ - & \isa{{\isachardoublequote}{\isasymapprox}{\isachardoublequote}} & \isa{{\isachardoublequote}simp\ only{\isacharcolon}\ split{\isacharunderscore}tupled{\isacharunderscore}all{\isachardoublequote}} \\ - & \isa{{\isachardoublequote}{\isasymlless}{\isachardoublequote}} & \isa{{\isachardoublequote}clarify{\isachardoublequote}} \\ + \verb|strip_tac|~\isa{{\isadigit{1}}} & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C617070726F783E}{\isasymapprox}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}intro\ strip{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|split_all_tac|~\isa{{\isadigit{1}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}simp\ {\isaliteral{28}{\isacharparenleft}}no{\isaliteral{5F}{\isacharunderscore}}asm{\isaliteral{5F}{\isacharunderscore}}simp{\isaliteral{29}{\isacharparenright}}\ only{\isaliteral{3A}{\isacharcolon}}\ split{\isaliteral{5F}{\isacharunderscore}}tupled{\isaliteral{5F}{\isacharunderscore}}all{\isaliteral{22}{\isachardoublequote}}} \\ + & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C617070726F783E}{\isasymapprox}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}simp\ only{\isaliteral{3A}{\isacharcolon}}\ split{\isaliteral{5F}{\isacharunderscore}}tupled{\isaliteral{5F}{\isacharunderscore}}all{\isaliteral{22}{\isachardoublequote}}} \\ + & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5C3C6C6C6573733E}{\isasymlless}}{\isaliteral{22}{\isachardoublequote}}} & \isa{{\isaliteral{22}{\isachardoublequote}}clarify{\isaliteral{22}{\isachardoublequote}}} \\ \end{tabular}% \end{isamarkuptext}% \isamarkuptrue% @@ -162,8 +162,8 @@ \begin{isamarkuptext}% Classic Isabelle provides a huge amount of tacticals for combination and modification of existing tactics. This has been greatly reduced - in Isar, providing the bare minimum of combinators only: ``\isa{{\isachardoublequote}{\isacharcomma}{\isachardoublequote}}'' (sequential composition), ``\isa{{\isachardoublequote}{\isacharbar}{\isachardoublequote}}'' (alternative - choices), ``\isa{{\isachardoublequote}{\isacharquery}{\isachardoublequote}}'' (try), ``\isa{{\isachardoublequote}{\isacharplus}{\isachardoublequote}}'' (repeat at least + in Isar, providing the bare minimum of combinators only: ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2C}{\isacharcomma}}{\isaliteral{22}{\isachardoublequote}}}'' (sequential composition), ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{7C}{\isacharbar}}{\isaliteral{22}{\isachardoublequote}}}'' (alternative + choices), ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}}'' (try), ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2B}{\isacharplus}}{\isaliteral{22}{\isachardoublequote}}}'' (repeat at least once). These are usually sufficient in practice; if all fails, arbitrary ML tactic code may be invoked via the \hyperlink{method.tactic}{\mbox{\isa{tactic}}} method (see \secref{sec:tactics}). @@ -173,27 +173,27 @@ \medskip \begin{tabular}{lll} - \isa{{\isachardoublequote}tac\isactrlsub {\isadigit{1}}{\isachardoublequote}}~\verb|THEN|~\isa{{\isachardoublequote}tac\isactrlsub {\isadigit{2}}{\isachardoublequote}} & & \isa{{\isachardoublequote}meth\isactrlsub {\isadigit{1}}{\isacharcomma}\ meth\isactrlsub {\isadigit{2}}{\isachardoublequote}} \\ - \isa{{\isachardoublequote}tac\isactrlsub {\isadigit{1}}{\isachardoublequote}}~\verb|ORELSE|~\isa{{\isachardoublequote}tac\isactrlsub {\isadigit{2}}{\isachardoublequote}} & & \isa{{\isachardoublequote}meth\isactrlsub {\isadigit{1}}\ {\isacharbar}\ meth\isactrlsub {\isadigit{2}}{\isachardoublequote}} \\ - \verb|TRY|~\isa{tac} & & \isa{{\isachardoublequote}meth{\isacharquery}{\isachardoublequote}} \\ - \verb|REPEAT1|~\isa{tac} & & \isa{{\isachardoublequote}meth{\isacharplus}{\isachardoublequote}} \\ - \verb|REPEAT|~\isa{tac} & & \isa{{\isachardoublequote}{\isacharparenleft}meth{\isacharplus}{\isacharparenright}{\isacharquery}{\isachardoublequote}} \\ - \verb|EVERY|~\isa{{\isachardoublequote}{\isacharbrackleft}tac\isactrlsub {\isadigit{1}}{\isacharcomma}\ {\isasymdots}{\isacharbrackright}{\isachardoublequote}} & & \isa{{\isachardoublequote}meth\isactrlsub {\isadigit{1}}{\isacharcomma}\ {\isasymdots}{\isachardoublequote}} \\ - \verb|FIRST|~\isa{{\isachardoublequote}{\isacharbrackleft}tac\isactrlsub {\isadigit{1}}{\isacharcomma}\ {\isasymdots}{\isacharbrackright}{\isachardoublequote}} & & \isa{{\isachardoublequote}meth\isactrlsub {\isadigit{1}}\ {\isacharbar}\ {\isasymdots}{\isachardoublequote}} \\ + \isa{{\isaliteral{22}{\isachardoublequote}}tac\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}}~\verb|THEN|~\isa{{\isaliteral{22}{\isachardoublequote}}tac\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}meth\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ meth\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}} \\ + \isa{{\isaliteral{22}{\isachardoublequote}}tac\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{22}{\isachardoublequote}}}~\verb|ORELSE|~\isa{{\isaliteral{22}{\isachardoublequote}}tac\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}meth\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{7C}{\isacharbar}}\ meth\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{2}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|TRY|~\isa{tac} & & \isa{{\isaliteral{22}{\isachardoublequote}}meth{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|REPEAT1|~\isa{tac} & & \isa{{\isaliteral{22}{\isachardoublequote}}meth{\isaliteral{2B}{\isacharplus}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|REPEAT|~\isa{tac} & & \isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{28}{\isacharparenleft}}meth{\isaliteral{2B}{\isacharplus}}{\isaliteral{29}{\isacharparenright}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|EVERY|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}tac\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}meth\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}} \\ + \verb|FIRST|~\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{5B}{\isacharbrackleft}}tac\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}{\isaliteral{2C}{\isacharcomma}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{5D}{\isacharbrackright}}{\isaliteral{22}{\isachardoublequote}}} & & \isa{{\isaliteral{22}{\isachardoublequote}}meth\isaliteral{5C3C5E7375623E}{}\isactrlsub {\isadigit{1}}\ {\isaliteral{7C}{\isacharbar}}\ {\isaliteral{5C3C646F74733E}{\isasymdots}}{\isaliteral{22}{\isachardoublequote}}} \\ \end{tabular} \medskip \medskip \verb|CHANGED| (see \cite{isabelle-ref}) is usually not required in Isar, since most basic proof methods already fail unless - there is an actual change in the goal state. Nevertheless, ``\isa{{\isachardoublequote}{\isacharquery}{\isachardoublequote}}'' (try) may be used to accept \emph{unchanged} results as + there is an actual change in the goal state. Nevertheless, ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{3F}{\isacharquery}}{\isaliteral{22}{\isachardoublequote}}}'' (try) may be used to accept \emph{unchanged} results as well. \medskip \verb|ALLGOALS|, \verb|SOMEGOAL| etc.\ (see \cite{isabelle-ref}) are not available in Isar, since there is no direct goal addressing. Nevertheless, some basic methods address - all goals internally, notably \hyperlink{method.simp-all}{\mbox{\isa{simp{\isacharunderscore}all}}} (see + all goals internally, notably \hyperlink{method.simp-all}{\mbox{\isa{simp{\isaliteral{5F}{\isacharunderscore}}all}}} (see \secref{sec:simplifier}). Also note that \verb|ALLGOALS| can be - often replaced by ``\isa{{\isachardoublequote}{\isacharplus}{\isachardoublequote}}'' (repeat at least once), although + often replaced by ``\isa{{\isaliteral{22}{\isachardoublequote}}{\isaliteral{2B}{\isacharplus}}{\isaliteral{22}{\isachardoublequote}}}'' (repeat at least once), although this usually has a different operational behavior, such as solving goals in a different order.