author | haftmann |
Fri, 09 May 2014 08:13:37 +0200 | |
changeset 56928 | 1e50fddbe1f5 |
parent 56927 | 4044a7d1720f |
child 58036 | f23045003476 |
permissions | -rw-r--r-- |
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(* Title: HOL/Code_Evaluation.thy |
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Author: Florian Haftmann, TU Muenchen |
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*) |
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header {* Term evaluation using the generic code generator *} |
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theory Code_Evaluation |
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imports Typerep Limited_Sequence |
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keywords "value" :: diag |
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begin |
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subsection {* Term representation *} |
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subsubsection {* Terms and class @{text term_of} *} |
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datatype "term" = dummy_term |
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definition Const :: "String.literal \<Rightarrow> typerep \<Rightarrow> term" where |
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"Const _ _ = dummy_term" |
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definition App :: "term \<Rightarrow> term \<Rightarrow> term" where |
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"App _ _ = dummy_term" |
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definition Abs :: "String.literal \<Rightarrow> typerep \<Rightarrow> term \<Rightarrow> term" where |
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"Abs _ _ _ = dummy_term" |
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definition Free :: "String.literal \<Rightarrow> typerep \<Rightarrow> term" where |
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"Free _ _ = dummy_term" |
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code_datatype Const App Abs Free |
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class term_of = typerep + |
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fixes term_of :: "'a \<Rightarrow> term" |
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lemma term_of_anything: "term_of x \<equiv> t" |
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by (rule eq_reflection) (cases "term_of x", cases t, simp) |
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definition valapp :: "('a \<Rightarrow> 'b) \<times> (unit \<Rightarrow> term) |
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\<Rightarrow> 'a \<times> (unit \<Rightarrow> term) \<Rightarrow> 'b \<times> (unit \<Rightarrow> term)" where |
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"valapp f x = (fst f (fst x), \<lambda>u. App (snd f ()) (snd x ()))" |
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lemma valapp_code [code, code_unfold]: |
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"valapp (f, tf) (x, tx) = (f x, \<lambda>u. App (tf ()) (tx ()))" |
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by (simp only: valapp_def fst_conv snd_conv) |
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subsubsection {* Syntax *} |
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definition termify :: "'a \<Rightarrow> term" where |
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[code del]: "termify x = dummy_term" |
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abbreviation valtermify :: "'a \<Rightarrow> 'a \<times> (unit \<Rightarrow> term)" where |
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"valtermify x \<equiv> (x, \<lambda>u. termify x)" |
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locale term_syntax |
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begin |
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notation App (infixl "<\<cdot>>" 70) |
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and valapp (infixl "{\<cdot>}" 70) |
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end |
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interpretation term_syntax . |
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no_notation App (infixl "<\<cdot>>" 70) |
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and valapp (infixl "{\<cdot>}" 70) |
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subsection {* Tools setup and evaluation *} |
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lemma eq_eq_TrueD: |
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assumes "(x \<equiv> y) \<equiv> Trueprop True" |
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shows "x \<equiv> y" |
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using assms by simp |
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code_printing |
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type_constructor "term" \<rightharpoonup> (Eval) "Term.term" |
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| constant Const \<rightharpoonup> (Eval) "Term.Const/ ((_), (_))" |
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| constant App \<rightharpoonup> (Eval) "Term.$/ ((_), (_))" |
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| constant Abs \<rightharpoonup> (Eval) "Term.Abs/ ((_), (_), (_))" |
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| constant Free \<rightharpoonup> (Eval) "Term.Free/ ((_), (_))" |
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ML_file "Tools/code_evaluation.ML" |
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code_reserved Eval Code_Evaluation |
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ML_file "~~/src/HOL/Tools/value.ML" |
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subsection {* @{text term_of} instances *} |
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instantiation "fun" :: (typerep, typerep) term_of |
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begin |
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definition |
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"term_of (f \<Colon> 'a \<Rightarrow> 'b) = |
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Const (STR ''Pure.dummy_pattern'') |
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(Typerep.Typerep (STR ''fun'') [Typerep.typerep TYPE('a), Typerep.typerep TYPE('b)])" |
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instance .. |
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end |
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instantiation String.literal :: term_of |
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begin |
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definition |
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"term_of s = App (Const (STR ''STR'') |
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(Typerep.Typerep (STR ''fun'') [Typerep.Typerep (STR ''list'') [Typerep.Typerep (STR ''char'') []], |
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Typerep.Typerep (STR ''String.literal'') []])) (term_of (String.explode s))" |
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instance .. |
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end |
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declare [[code drop: rec_term case_term size_term "size :: term \<Rightarrow> _" "HOL.equal :: term \<Rightarrow> _" |
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"term_of :: typerep \<Rightarrow> _" "term_of :: term \<Rightarrow> _" "term_of :: String.literal \<Rightarrow> _" |
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"term_of :: _ Predicate.pred \<Rightarrow> term" "term_of :: _ Predicate.seq \<Rightarrow> term"]] |
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lemma term_of_char [unfolded typerep_fun_def typerep_char_def typerep_nibble_def, code]: |
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"Code_Evaluation.term_of c = (case c of Char x y \<Rightarrow> |
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Code_Evaluation.App (Code_Evaluation.App |
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(Code_Evaluation.Const (STR ''String.char.Char'') (TYPEREP(nibble \<Rightarrow> nibble \<Rightarrow> char))) |
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(Code_Evaluation.term_of x)) (Code_Evaluation.term_of y))" |
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by (subst term_of_anything) rule |
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code_printing |
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constant "term_of \<Colon> integer \<Rightarrow> term" \<rightharpoonup> (Eval) "HOLogic.mk'_number/ HOLogic.code'_integerT" |
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| constant "term_of \<Colon> String.literal \<Rightarrow> term" \<rightharpoonup> (Eval) "HOLogic.mk'_literal" |
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code_reserved Eval HOLogic |
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subsection {* Generic reification *} |
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ML_file "~~/src/HOL/Tools/reification.ML" |
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subsection {* Diagnostic *} |
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definition tracing :: "String.literal \<Rightarrow> 'a \<Rightarrow> 'a" where |
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[code del]: "tracing s x = x" |
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code_printing |
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constant "tracing :: String.literal => 'a => 'a" \<rightharpoonup> (Eval) "Code'_Evaluation.tracing" |
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hide_const dummy_term valapp |
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hide_const (open) Const App Abs Free termify valtermify term_of tracing |
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end |
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