diff -r 0f289a52edbe -r b136721eedb2 Nominal/nominal_dt_rawperm.ML --- a/Nominal/nominal_dt_rawperm.ML Tue Dec 07 14:27:21 2010 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,130 +0,0 @@ -(* Title: nominal_dt_rawperm.ML - Author: Cezary Kaliszyk - Author: Christian Urban - - Definitions of the raw permutations and - proof that the raw datatypes are in the - pt-class. -*) - -signature NOMINAL_DT_RAWPERM = -sig - val define_raw_perms: string list -> typ list -> (string * sort) list -> term list -> thm -> - local_theory -> (term list * thm list * thm list) * local_theory -end - - -structure Nominal_Dt_RawPerm: NOMINAL_DT_RAWPERM = -struct - - -(** proves the two pt-type class properties **) - -fun prove_permute_zero induct perm_defs perm_fns lthy = - let - val perm_types = map (body_type o fastype_of) perm_fns - val perm_indnames = Datatype_Prop.make_tnames perm_types - - fun single_goal ((perm_fn, T), x) = - HOLogic.mk_eq (perm_fn $ @{term "0::perm"} $ Free (x, T), Free (x, T)) - - val goals = - HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj - (map single_goal (perm_fns ~~ perm_types ~~ perm_indnames))) - - val simps = HOL_basic_ss addsimps (@{thm permute_zero} :: perm_defs) - - val tac = (Datatype_Aux.indtac induct perm_indnames - THEN_ALL_NEW asm_simp_tac simps) 1 - in - Goal.prove lthy perm_indnames [] goals (K tac) - |> Datatype_Aux.split_conj_thm - end - - -fun prove_permute_plus induct perm_defs perm_fns lthy = - let - val p = Free ("p", @{typ perm}) - val q = Free ("q", @{typ perm}) - val perm_types = map (body_type o fastype_of) perm_fns - val perm_indnames = Datatype_Prop.make_tnames perm_types - - fun single_goal ((perm_fn, T), x) = HOLogic.mk_eq - (perm_fn $ (mk_plus p q) $ Free (x, T), perm_fn $ p $ (perm_fn $ q $ Free (x, T))) - - val goals = - HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj - (map single_goal (perm_fns ~~ perm_types ~~ perm_indnames))) - - val simps = HOL_basic_ss addsimps (@{thm permute_plus} :: perm_defs) - - val tac = (Datatype_Aux.indtac induct perm_indnames - THEN_ALL_NEW asm_simp_tac simps) 1 - in - Goal.prove lthy ("p" :: "q" :: perm_indnames) [] goals (K tac) - |> Datatype_Aux.split_conj_thm - end - - -fun mk_perm_eq ty_perm_assoc cnstr = - let - fun lookup_perm p (ty, arg) = - case (AList.lookup (op=) ty_perm_assoc ty) of - SOME perm => perm $ p $ arg - | NONE => Const (@{const_name permute}, perm_ty ty) $ p $ arg - - val p = Free ("p", @{typ perm}) - val (arg_tys, ty) = - fastype_of cnstr - |> strip_type - - val arg_names = Name.variant_list ["p"] (Datatype_Prop.make_tnames arg_tys) - val args = map Free (arg_names ~~ arg_tys) - - val lhs = lookup_perm p (ty, list_comb (cnstr, args)) - val rhs = list_comb (cnstr, map (lookup_perm p) (arg_tys ~~ args)) - - val eq = HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs)) - in - (Attrib.empty_binding, eq) - end - - -fun define_raw_perms full_ty_names tys tvs constrs induct_thm lthy = - let - val perm_fn_names = full_ty_names - |> map Long_Name.base_name - |> map (prefix "permute_") - - val perm_fn_types = map perm_ty tys - val perm_fn_frees = map Free (perm_fn_names ~~ perm_fn_types) - val perm_fn_binds = map (fn s => (Binding.name s, NONE, NoSyn)) perm_fn_names - - val perm_eqs = map (mk_perm_eq (tys ~~ perm_fn_frees)) constrs - - fun tac _ (_, _, simps) = - Class.intro_classes_tac [] THEN ALLGOALS (resolve_tac simps) - - fun morphism phi (fvs, dfs, simps) = - (map (Morphism.term phi) fvs, - map (Morphism.thm phi) dfs, - map (Morphism.thm phi) simps); - - val ((perm_funs, perm_eq_thms), lthy') = - lthy - |> Local_Theory.exit_global - |> Class.instantiation (full_ty_names, tvs, @{sort pt}) - |> Primrec.add_primrec perm_fn_binds perm_eqs - - val perm_zero_thms = prove_permute_zero induct_thm perm_eq_thms perm_funs lthy' - val perm_plus_thms = prove_permute_plus induct_thm perm_eq_thms perm_funs lthy' - in - lthy' - |> Class.prove_instantiation_exit_result morphism tac - (perm_funs, perm_eq_thms, perm_zero_thms @ perm_plus_thms) - ||> Named_Target.theory_init - end - - -end (* structure *) -