diff -r c670a849af65 -r 1e6160690546 Nominal/nominal_dt_rawperm.ML --- a/Nominal/nominal_dt_rawperm.ML Sat Aug 14 16:54:41 2010 +0800 +++ b/Nominal/nominal_dt_rawperm.ML Sat Aug 14 23:33:23 2010 +0800 @@ -9,7 +9,7 @@ signature NOMINAL_DT_RAWPERM = sig - val define_raw_perms: Datatype.descr -> (string * sort) list -> thm -> int -> theory -> + val define_raw_perms: string list -> typ list -> term list -> thm -> theory -> (term list * thm list * thm list) * theory end @@ -18,39 +18,6 @@ struct -(* permutation function for one argument - - - in case the argument is recursive it returns - - permute_fn p arg - - - in case the argument is non-recursive it will return - - p o arg -*) -fun perm_arg permute_fn_frees p (arg_dty, arg) = - if Datatype_Aux.is_rec_type arg_dty - then (nth permute_fn_frees (Datatype_Aux.body_index arg_dty)) $ p $ arg - else mk_perm p arg - - -(* generates the equation for the permutation function for one constructor; - i is the index of the corresponding datatype *) -fun perm_eq_constr dt_descr sorts permute_fn_frees i (cnstr_name, dts) = -let - val p = Free ("p", @{typ perm}) - val arg_tys = map (Datatype_Aux.typ_of_dtyp dt_descr sorts) dts - val arg_names = Name.variant_list ["p"] (Datatype_Prop.make_tnames arg_tys) - val args = map Free (arg_names ~~ arg_tys) - val cnstr = Const (cnstr_name, arg_tys ---> (nth_dtyp dt_descr sorts i)) - val lhs = (nth permute_fn_frees i) $ p $ list_comb (cnstr, args) - val rhs = list_comb (cnstr, map (perm_arg permute_fn_frees p) (dts ~~ args)) - val eq = HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs)) -in - (Attrib.empty_binding, eq) -end - - (** proves the two pt-type class properties **) fun prove_permute_zero lthy induct perm_defs perm_fns = @@ -99,49 +66,62 @@ end -(* user_dt_nos refers to the number of "un-unfolded" datatypes - given by the user -*) -fun define_raw_perms dt_descr sorts induct_thm user_dt_nos thy = +fun mk_perm_eq ty_perm_assoc cnstr = let - val all_full_tnames = map (fn (_, (n, _, _)) => n) dt_descr; - val user_full_tnames = List.take (all_full_tnames, user_dt_nos); + 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 perm_fn_names = prefix_dt_names dt_descr sorts "permute_" - val perm_fn_types = map (fn (i, _) => perm_ty (nth_dtyp dt_descr sorts i)) dt_descr - val perm_fn_frees = map Free (perm_fn_names ~~ perm_fn_types) + 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 perm_eq (i, (_, _, constrs)) = - map (perm_eq_constr dt_descr sorts perm_fn_frees i) constrs; +fun define_raw_perms full_ty_names tys constrs induct_thm thy = +let + val perm_fn_names = full_ty_names + |> map Long_Name.base_name + |> map (prefix "permute_") - val perm_eqs = maps perm_eq dt_descr; + 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 val lthy = - Class.instantiation (user_full_tnames, [], @{sort pt}) thy; + Class.instantiation (full_ty_names, [], @{sort pt}) thy val ((perm_funs, perm_eq_thms), lthy') = - Primrec.add_primrec - (map (fn s => (Binding.name s, NONE, NoSyn)) perm_fn_names) perm_eqs lthy; + Primrec.add_primrec perm_fn_binds perm_eqs lthy; val perm_zero_thms = prove_permute_zero lthy' induct_thm perm_eq_thms perm_funs val perm_plus_thms = prove_permute_plus lthy' induct_thm perm_eq_thms perm_funs - val perm_zero_thms' = List.take (perm_zero_thms, user_dt_nos); - val perm_plus_thms' = List.take (perm_plus_thms, user_dt_nos) - val perms_name = space_implode "_" perm_fn_names - val perms_zero_bind = Binding.name (perms_name ^ "_zero") - val perms_plus_bind = Binding.name (perms_name ^ "_plus") 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); + (map (Morphism.term phi) fvs, + map (Morphism.thm phi) dfs, + map (Morphism.thm phi) simps); in lthy' - |> snd o (Local_Theory.note ((perms_zero_bind, []), perm_zero_thms')) - |> snd o (Local_Theory.note ((perms_plus_bind, []), perm_plus_thms')) |> Class.prove_instantiation_exit_result morphism tac - (perm_funs, perm_eq_thms, perm_zero_thms' @ perm_plus_thms') + (perm_funs, perm_eq_thms, perm_zero_thms @ perm_plus_thms) end