(* $Id$ *)
theory "proof" imports base begin
chapter {* Structured reasoning *}
section {* Proof context *}
subsection {* Local variables *}
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text %mlref {*
\begin{mldecls}
@{index_ML Variable.declare_term: "term -> Proof.context -> Proof.context"} \\
@{index_ML Variable.add_fixes: "string list -> Proof.context -> string list * Proof.context"} \\
@{index_ML Variable.import: "bool -> thm list -> Proof.context -> thm list * Proof.context"} \\
@{index_ML Variable.export: "Proof.context -> Proof.context -> thm list -> thm list"} \\
@{index_ML Variable.trade: "Proof.context -> (thm list -> thm list) -> thm list -> thm list"} \\
@{index_ML Variable.monomorphic: "Proof.context -> term list -> term list"} \\
@{index_ML Variable.polymorphic: "Proof.context -> term list -> term list"} \\
\end{mldecls}
\begin{description}
\item @{ML Variable.declare_term}~@{text "t ctxt"} declares term
@{text "t"} to belong to the context. This fixes free type
variables, but not term variables. Constraints for type and term
variables are declared uniformly.
\item @{ML Variable.add_fixes}~@{text "xs ctxt"} fixes term
variables @{text "xs"} and returns the internal names of the
resulting Skolem constants. Note that term fixes refer to
\emph{all} type instances that may occur in the future.
\item @{ML Variable.invent_fixes} is similar to @{ML
Variable.add_fixes}, but the given names merely act as hints for
internal fixes produced here.
\item @{ML Variable.import}~@{text "open ths ctxt"} augments the
context by new fixes for the schematic type and term variables
occurring in @{text "ths"}. The @{text "open"} flag indicates
whether the fixed names should be accessible to the user, otherwise
internal names are chosen.
\item @{ML Variable.export}~@{text "inner outer ths"} generalizes
fixed type and term variables in @{text "ths"} according to the
difference of the @{text "inner"} and @{text "outer"} context. Note
that type variables occurring in term variables are still fixed.
@{ML Variable.export} essentially reverses the effect of @{ML
Variable.import} (up to renaming of schematic variables.
\item @{ML Variable.trade} composes @{ML Variable.import} and @{ML
Variable.export}, i.e.\ it provides a view on facts with all
variables being fixed in the current context.
\item @{ML Variable.monomorphic}~@{text "ctxt ts"} introduces fixed
type variables for the schematic ones in @{text "ts"}.
\item @{ML Variable.polymorphic}~@{text "ctxt ts"} generalizes type
variables in @{text "ts"} as far as possible, even those occurring
in fixed term variables. This operation essentially reverses the
default policy of type-inference to introduce local polymorphism as
fixed types.
\end{description}
*}
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section {* Proof state *}
text {*
FIXME
\glossary{Proof state}{The whole configuration of a structured proof,
consisting of a \seeglossary{proof context} and an optional
\seeglossary{structured goal}. Internally, an Isar proof state is
organized as a stack to accomodate block structure of proof texts.
For historical reasons, a low-level \seeglossary{tactical goal} is
occasionally called ``proof state'' as well.}
\glossary{Structured goal}{FIXME}
\glossary{Goal}{See \seeglossary{tactical goal} or \seeglossary{structured goal}. \norefpage}
*}
section {* Methods *}
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section {* Attributes *}
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end