author | wenzelm |
Thu, 12 Aug 2010 15:19:11 +0200 | |
changeset 38363 | af7f41a8a0a8 |
parent 38348 | cf7b2121ad9d |
child 38528 | bbaaaf6f1cbe |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/typecopy.ML |
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Author: Florian Haftmann, TU Muenchen |
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Introducing copies of types using trivial typedefs; datatype-like abstraction. |
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*) |
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signature TYPECOPY = |
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sig |
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type info = { vs: (string * sort) list, typ: typ, constr: string, proj: string, |
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constr_inject: thm, proj_inject: thm, constr_proj: thm, proj_constr: thm } |
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val typecopy: binding * (string * sort) list -> typ -> binding -> binding |
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TypedefPackage.add_typedef_* now yields name of introduced type constructor
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-> theory -> (string * info) * theory |
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val get_info: theory -> string -> info option |
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val interpretation: (string -> theory -> theory) -> theory -> theory |
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val add_default_code: string -> theory -> theory |
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val setup: theory -> theory |
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end; |
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parents:
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structure Typecopy: TYPECOPY = |
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struct |
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(* theory data *) |
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type info = { |
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vs: (string * sort) list, |
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typ: typ, |
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constr: string, |
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proj: string, |
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constr_inject: thm, |
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proj_inject: thm, |
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constr_proj: thm, |
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proj_constr: thm |
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}; |
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structure Typecopy_Data = Theory_Data |
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( |
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type T = info Symtab.table; |
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val empty = Symtab.empty; |
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val extend = I; |
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fun merge data = Symtab.merge (K true) data; |
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); |
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val get_info = Symtab.lookup o Typecopy_Data.get; |
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(* interpretation of type copies *) |
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structure Typecopy_Interpretation = Interpretation(type T = string val eq = op =); |
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val interpretation = Typecopy_Interpretation.interpretation; |
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31136
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haftmann
parents:
31090
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changeset
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(* introducing typecopies *) |
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parents:
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fun add_info tyco vs (({ rep_type, Abs_name, Rep_name, ...}, |
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{ Abs_inject, Rep_inject, Abs_inverse, Rep_inverse, ... }) : Typedef.info) thy = |
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let |
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val exists_thm = |
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UNIV_I |
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|> Drule.instantiate' [SOME (ctyp_of thy (Logic.varifyT_global rep_type))] []; |
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val constr_inject = Abs_inject OF [exists_thm, exists_thm]; |
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val proj_constr = Abs_inverse OF [exists_thm]; |
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val info = { |
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vs = vs, |
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typ = rep_type, |
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constr = Abs_name, |
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proj = Rep_name, |
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constr_inject = constr_inject, |
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proj_inject = Rep_inject, |
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constr_proj = Rep_inverse, |
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proj_constr = proj_constr |
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}; |
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in |
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thy |
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|> (Typecopy_Data.map o Symtab.update_new) (tyco, info) |
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|> Typecopy_Interpretation.data tyco |
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|> pair (tyco, info) |
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end |
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fun typecopy (raw_tyco, raw_vs) raw_ty constr proj thy = |
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let |
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val ty = Sign.certify_typ thy raw_ty; |
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val ctxt = ProofContext.init_global thy |> Variable.declare_typ ty; |
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val vs = map (ProofContext.check_tfree ctxt) raw_vs; |
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val tac = Tactic.rtac UNIV_witness 1; |
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in |
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thy |
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typecopy: observe given sort constraints more precisely;
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|> Typedef.add_typedef_global false (SOME raw_tyco) (raw_tyco, vs, NoSyn) |
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(HOLogic.mk_UNIV ty) (SOME (proj, constr)) tac |
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|-> (fn (tyco, info) => add_info tyco vs info) |
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end; |
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31136
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haftmann
parents:
31090
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changeset
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(* default code setup *) |
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31136
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parents:
31090
diff
changeset
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fun add_default_code tyco thy = |
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let |
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val SOME { vs, typ = ty_rep, constr = c, proj, proj_constr, proj_inject, ... } = |
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get_info thy tyco; |
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renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
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changeset
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val constr = (c, Logic.unvarifyT_global (Sign.the_const_type thy c)); |
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val ty = Type (tyco, map TFree vs); |
31136
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haftmann
parents:
31090
diff
changeset
|
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val proj = Const (proj, ty --> ty_rep); |
85d04515abb3
tuned and generalized construction of code equations for eq; tuned interface
haftmann
parents:
31090
diff
changeset
|
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val (t_x, t_y) = (Free ("x", ty), Free ("y", ty)); |
85d04515abb3
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haftmann
parents:
31090
diff
changeset
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val eq_lhs = Const (@{const_name eq_class.eq}, ty --> ty --> HOLogic.boolT) |
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$ t_x $ t_y; |
31136
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haftmann
parents:
31090
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changeset
|
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val eq_rhs = HOLogic.mk_eq (proj $ t_x, proj $ t_y); |
85d04515abb3
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haftmann
parents:
31090
diff
changeset
|
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val eq = (HOLogic.mk_Trueprop o HOLogic.mk_eq) (eq_lhs, eq_rhs); |
85d04515abb3
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parents:
31090
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fun tac eq_thm = Class.intro_classes_tac [] |
85d04515abb3
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parents:
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changeset
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THEN (Simplifier.rewrite_goals_tac |
85d04515abb3
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parents:
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(map Simpdata.mk_eq [eq_thm, @{thm eq}, proj_inject])) |
85d04515abb3
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parents:
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diff
changeset
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THEN ALLGOALS (rtac @{thm refl}); |
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fun mk_eq_refl thy = @{thm HOL.eq_refl} |
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|> Thm.instantiate |
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35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35842
diff
changeset
|
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([pairself (Thm.ctyp_of thy) (TVar (("'a", 0), @{sort eq}), Logic.varifyT_global ty)], []) |
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|> AxClass.unoverload thy; |
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in |
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thy |
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|> Code.add_datatype [constr] |
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|> Code.add_eqn proj_constr |
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|> Class.instantiation ([tyco], vs, [HOLogic.class_eq]) |
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parents:
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|> `(fn lthy => Syntax.check_term lthy eq) |
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parents:
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|-> (fn eq => Specification.definition |
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(NONE, (Attrib.empty_binding, eq))) |
85d04515abb3
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haftmann
parents:
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changeset
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|-> (fn (_, (_, eq_thm)) => |
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Class.prove_instantiation_exit_result Morphism.thm |
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parents:
31090
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changeset
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(fn _ => fn eq_thm => tac eq_thm) eq_thm) |
85d04515abb3
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haftmann
parents:
31090
diff
changeset
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|-> (fn eq_thm => Code.add_eqn eq_thm) |
85d04515abb3
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parents:
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changeset
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|> (fn thy => Code.add_nbe_eqn (mk_eq_refl thy) thy) |
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end; |
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val setup = |
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Typecopy_Interpretation.init |
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haftmann
parents:
31090
diff
changeset
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#> interpretation add_default_code |
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end; |