--- 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]}