author | haftmann |
Tue, 23 Sep 2008 18:11:42 +0200 | |
changeset 28335 | 25326092cf9a |
parent 28228 | 7ebe8dc06cbb |
child 28346 | b8390cd56b8f |
permissions | -rw-r--r-- |
26168 | 1 |
(* Title: HOL/Library/RType.thy |
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ID: $Id$ |
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Author: Florian Haftmann, TU Muenchen |
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*) |
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header {* Reflecting Pure types into HOL *} |
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theory RType |
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imports Plain "~~/src/HOL/List" "~~/src/HOL/Library/Code_Message" |
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begin |
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datatype typerep = Typerep message_string "typerep list" |
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class typerep = |
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fixes typerep :: "'a\<Colon>{} itself \<Rightarrow> typerep" |
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begin |
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definition |
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typerep_of :: "'a \<Rightarrow> typerep" |
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where |
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[simp]: "typerep_of x = typerep TYPE('a)" |
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end |
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setup {* |
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let |
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fun typerep_tr (*"_TYPEREP"*) [ty] = |
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Lexicon.const @{const_syntax typerep} $ (Lexicon.const "_constrain" $ Lexicon.const "TYPE" $ |
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(Lexicon.const "itself" $ ty)) |
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| typerep_tr (*"_TYPEREP"*) ts = raise TERM ("typerep_tr", ts); |
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fun typerep_tr' show_sorts (*"typerep"*) |
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(Type ("fun", [Type ("itself", [T]), _])) (Const (@{const_syntax TYPE}, _) :: ts) = |
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Term.list_comb (Lexicon.const "_TYPEREP" $ Syntax.term_of_typ show_sorts T, ts) |
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| typerep_tr' _ T ts = raise Match; |
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in |
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Sign.add_syntax_i |
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[("_TYPEREP", SimpleSyntax.read_typ "type => logic", Delimfix "(1TYPEREP/(1'(_')))")] |
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#> Sign.add_trfuns ([], [("_TYPEREP", typerep_tr)], [], []) |
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#> Sign.add_trfunsT [(@{const_syntax typerep}, typerep_tr')] |
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end |
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*} |
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ML {* |
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structure Typerep = |
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struct |
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fun mk f (Type (tyco, tys)) = |
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@{term Typerep} $ Message_String.mk tyco |
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$ HOLogic.mk_list @{typ typerep} (map (mk f) tys) |
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| mk f (TFree v) = |
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f v; |
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fun typerep ty = |
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Const (@{const_name typerep}, Term.itselfT ty --> @{typ typerep}) |
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$ Logic.mk_type ty; |
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fun add_def tyco thy = |
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let |
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val sorts = replicate (Sign.arity_number thy tyco) @{sort typerep}; |
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val vs = Name.names Name.context "'a" sorts; |
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val ty = Type (tyco, map TFree vs); |
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val lhs = Const (@{const_name typerep}, Term.itselfT ty --> @{typ typerep}) |
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$ Free ("T", Term.itselfT ty); |
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val rhs = mk (typerep o TFree) ty; |
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val eq = HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs)); |
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in |
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thy |
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|> TheoryTarget.instantiation ([tyco], vs, @{sort typerep}) |
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|> `(fn lthy => Syntax.check_term lthy eq) |
28084
a05ca48ef263
type Attrib.binding abbreviates Name.binding without attributes;
wenzelm
parents:
28083
diff
changeset
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|-> (fn eq => Specification.definition (NONE, (Attrib.no_binding, eq))) |
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|> snd |
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|> Class.prove_instantiation_instance (K (Class.intro_classes_tac [])) |
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|> LocalTheory.exit |
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|> ProofContext.theory_of |
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end; |
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fun perhaps_add_def tyco thy = |
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let |
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val inst = can (Sorts.mg_domain (Sign.classes_of thy) tyco) @{sort typerep} |
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in if inst then thy else add_def tyco thy end; |
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end; |
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*} |
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setup {* |
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Typerep.add_def @{type_name prop} |
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#> Typerep.add_def @{type_name fun} |
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#> Typerep.add_def @{type_name itself} |
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#> Typerep.add_def @{type_name bool} |
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#> TypedefPackage.interpretation Typerep.perhaps_add_def |
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*} |
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lemma [code func]: |
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"Typerep tyco1 tys1 = Typerep tyco2 tys2 \<longleftrightarrow> tyco1 = tyco2 |
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\<and> list_all2 (op =) tys1 tys2" |
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by (auto simp add: list_all2_eq [symmetric]) |
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code_type typerep |
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(SML "Term.typ") |
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code_const Typerep |
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(SML "Term.Type/ (_, _)") |
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code_reserved SML Term |
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hide (open) const typerep Typerep |
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end |