diff -r add799cf0817 -r 82e37a4595c7 Nominal/nominal_dt_rawfuns.ML --- a/Nominal/nominal_dt_rawfuns.ML Wed Nov 10 13:46:21 2010 +0000 +++ b/Nominal/nominal_dt_rawfuns.ML Fri Nov 12 01:20:53 2010 +0000 @@ -11,7 +11,7 @@ type dt_info = string list * binding * mixfix * ((binding * typ list * mixfix) list) list (* info of raw binding functions *) - type bn_info = (term * int * (int * term option) list list) list + type bn_info = term * int * (int * term option) list list (* binding modes and binding clauses *) @@ -28,13 +28,17 @@ val setify: Proof.context -> term -> term val listify: Proof.context -> term -> term - (* TODO: should be here + (* FIXME: should be here - currently in Nominal2.thy val define_raw_bns: string list -> dt_info -> (binding * typ option * mixfix) list -> (Attrib.binding * term) list -> thm list -> thm list -> local_theory -> - (term list * thm list * bn_info * thm list * local_theory) *) + (term list * thm list * bn_info list * thm list * local_theory) + *) - val define_raw_fvs: string list -> typ list -> cns_info list -> bn_info -> bclause list list list -> + val define_raw_fvs: string list -> typ list -> cns_info list -> bn_info list -> bclause list list list -> thm list -> thm list -> Proof.context -> term list * term list * thm list * thm list * local_theory + + val define_raw_bn_perms: typ list -> bn_info list -> cns_info list -> thm list -> thm list -> + local_theory -> (term list * thm list * local_theory) val raw_prove_eqvt: term list -> thm list -> thm list -> Proof.context -> thm list end @@ -56,7 +60,7 @@ int * term option - is number of the corresponding argument with possibly recursive call with bn-function term *) -type bn_info = (term * int * (int * term option) list list) list +type bn_info = term * int * (int * term option) list list datatype bmode = Lst | Res | Set @@ -148,7 +152,6 @@ else t - (** functions that construct the equations for fv and fv_bn **) fun mk_fv_rhs lthy fv_map fv_bn_map args (BC (bmode, binders, bodies)) = @@ -284,6 +287,68 @@ end +(** definition of raw permute_bn functions **) + +fun mk_perm_bn_eq_rhs p perm_bn_map bn_args (i, arg) = + case AList.lookup (op=) bn_args i of + NONE => arg + | SOME (NONE) => mk_perm p arg + | SOME (SOME bn) => (lookup perm_bn_map bn) $ p $ arg + + +fun mk_perm_bn_eq lthy bn_trm perm_bn_map bn_args (constr, _, arg_tys, _) = + let + val p = Free ("p", @{typ perm}) + val arg_names = Datatype_Prop.make_tnames arg_tys + val args = map Free (arg_names ~~ arg_tys) + val perm_bn = lookup perm_bn_map bn_trm + val lhs = perm_bn $ p $ list_comb (constr, args) + val rhs = list_comb (constr, map_index (mk_perm_bn_eq_rhs p perm_bn_map bn_args) args) + in + HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs)) + end + +fun mk_perm_bn_eqs lthy perm_bn_map cns_info (bn_trm, bn_n, bn_argss) = + let + val nth_cns_info = nth cns_info bn_n + in + map2 (mk_perm_bn_eq lthy bn_trm perm_bn_map) bn_argss nth_cns_info + end + +fun define_raw_bn_perms raw_tys bn_info cns_info cns_thms size_thms lthy = + if null bn_info + then ([], [], lthy) + else + let + val (bns, bn_tys) = split_list (map (fn (bn, i, _) => (bn, i)) bn_info) + val bn_names = map (fn bn => Long_Name.base_name (fst (dest_Const bn))) bns + val perm_bn_names = map (prefix "permute_") bn_names + val perm_bn_arg_tys = map (nth raw_tys) bn_tys + val perm_bn_tys = map (fn ty => @{typ "perm"} --> ty --> ty) perm_bn_arg_tys + val perm_bn_frees = map Free (perm_bn_names ~~ perm_bn_tys) + val perm_bn_map = bns ~~ perm_bn_frees + + val perm_bn_eqs = map (mk_perm_bn_eqs lthy perm_bn_map cns_info) bn_info + + val all_fun_names = map (fn s => (Binding.name s, NONE, NoSyn)) perm_bn_names + val all_fun_eqs = map (pair Attrib.empty_binding) (flat perm_bn_eqs) + + val prod_simps = @{thms prod.inject HOL.simp_thms} + + val (_, lthy') = Function.add_function all_fun_names all_fun_eqs + Function_Common.default_config (pat_completeness_simp (prod_simps @ cns_thms)) lthy + + val (info, lthy'') = prove_termination size_thms (Local_Theory.restore lthy') + + val {fs, simps, ...} = info; + + val morphism = ProofContext.export_morphism lthy'' lthy + val simps_exp = map (Morphism.thm morphism) (the simps) + in + (fs, simps_exp, lthy'') + end + + (** equivarance proofs **) val eqvt_apply_sym = @{thm eqvt_apply[symmetric]}