moved setify and listify functions into the library; introduced versions that have a type argument
--- a/Nominal/Ex/Foo2.thy Fri Dec 10 19:01:44 2010 +0000
+++ b/Nominal/Ex/Foo2.thy Sun Dec 12 00:10:40 2010 +0000
@@ -24,9 +24,10 @@
"bn (As x y t a) = [atom x] @ bn a"
| "bn (As_Nil) = []"
-term "bn"
-
-
+ML {*
+ Variable.import;
+ Variable.import true @{thms foo.exhaust} @{context}
+*}
thm foo.bn_defs
thm foo.permute_bn
@@ -42,7 +43,7 @@
thm foo.fv_defs
thm foo.bn_defs
thm foo.perm_simps
-thm foo.eq_iff(5)
+thm foo.eq_iff
thm foo.fv_bn_eqvt
thm foo.size_eqvt
thm foo.supports
@@ -52,6 +53,7 @@
+text {* *}
--- a/Nominal/Nominal2.thy Fri Dec 10 19:01:44 2010 +0000
+++ b/Nominal/Nominal2.thy Sun Dec 12 00:10:40 2010 +0000
@@ -15,6 +15,8 @@
use "nominal_dt_quot.ML"
ML {* open Nominal_Dt_Quot *}
+text {* TEST *}
+
ML {*
fun strip_prems_concl trm =
(Logic.strip_imp_prems trm, Logic.strip_imp_concl trm)
@@ -23,10 +25,29 @@
| strip_outer_params B = ([], B)
*}
+
+ML {*
+fun binders bclauses =
+ let
+ fun aux1 (NONE, i) = Bound i
+ | aux1 (SOME bn, i) = bn $ Bound i
+ in
+ bclauses
+ |> map (fn (BC (_, x, _)) => x)
+ |> flat
+ |> map aux1
+ end
+*}
+
ML {*
fun prove_strong_exhausts lthy qexhausts qtrms bclausess =
let
- val (cses, main_concls) = qexhausts
+ val ((_, qexhausts'), lthy') = Variable.import true qexhausts lthy
+
+ val ([c, a], lthy'') = Variable.variant_fixes ["c", "'a"] lthy'
+ val c = Free (c, TFree (a, @{sort fs}))
+
+ val (cses, main_concls) = qexhausts'
|> map prop_of
|> map strip_prems_concl
|> split_list
@@ -36,12 +57,15 @@
val (params, (body, concl)) = cse
|> strip_outer_params
||> Logic.dest_implies
+
+ (*val bnds = HOLogic.mk_tuple (binders bclauses)*)
+ val prem = HOLogic.mk_Trueprop (HOLogic.mk_eq (c, c))
in
- Logic.mk_implies (body, concl)
+ Logic.mk_implies (prem, Logic.mk_implies (body, concl))
end
val cses' = map2 (map2 process_case) cses bclausess
- |> map (map (Syntax.string_of_term lthy))
+ |> map (map (Syntax.string_of_term lthy''))
|> map commas
|> cat_lines
--- a/Nominal/nominal_dt_rawfuns.ML Fri Dec 10 19:01:44 2010 +0000
+++ b/Nominal/nominal_dt_rawfuns.ML Sun Dec 12 00:10:40 2010 +0000
@@ -18,21 +18,10 @@
datatype bmode = Lst | Res | Set
datatype bclause = BC of bmode * (term option * int) list * int list
- val is_atom: Proof.context -> typ -> bool
- val is_atom_set: Proof.context -> typ -> bool
- val is_atom_fset: Proof.context -> typ -> bool
- val is_atom_list: Proof.context -> typ -> bool
- val mk_atom_set: term -> term
- val mk_atom_fset: term -> term
-
- val setify: Proof.context -> term -> term
- val listify: Proof.context -> term -> term
-
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 list * thm list * local_theory)
-
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
@@ -71,83 +60,6 @@
fun lookup xs x = the (AList.lookup (op=) xs x)
-(* testing for concrete atom types *)
-fun is_atom ctxt ty =
- Sign.of_sort (ProofContext.theory_of ctxt) (ty, @{sort at_base})
-
-fun is_atom_set ctxt (Type ("fun", [t, @{typ bool}])) = is_atom ctxt t
- | is_atom_set _ _ = false;
-
-fun is_atom_fset ctxt (Type (@{type_name "fset"}, [t])) = is_atom ctxt t
- | is_atom_fset _ _ = false;
-
-fun is_atom_list ctxt (Type (@{type_name "list"}, [t])) = is_atom ctxt t
- | is_atom_list _ _ = false
-
-
-(* functions for producing sets, fsets and lists of general atom type
- out from concrete atom types *)
-fun mk_atom_set t =
- let
- val ty = fastype_of t;
- val atom_ty = HOLogic.dest_setT ty --> @{typ "atom"};
- val img_ty = atom_ty --> ty --> @{typ "atom set"};
- in
- Const (@{const_name image}, img_ty) $ mk_atom_ty atom_ty t
- end
-
-
-fun dest_fsetT (Type (@{type_name fset}, [T])) = T
- | dest_fsetT T = raise TYPE ("dest_fsetT: fset type expected", [T], []);
-
-fun mk_atom_fset t =
- let
- val ty = fastype_of t;
- val atom_ty = dest_fsetT ty
- val fmap_ty = (atom_ty --> @{typ atom}) --> ty --> @{typ "atom fset"};
- val fset = @{term "fset :: atom fset => atom set"}
- in
- fset $ (Const (@{const_name map_fset}, fmap_ty) $ (atom_const atom_ty) $ t)
- end
-
- fun mk_atom_list t =
- let
- val ty = fastype_of t
- val atom_ty = dest_listT ty
- val map_ty = (atom_ty --> @{typ atom}) --> ty --> @{typ "atom list"}
- in
- Const (@{const_name map}, map_ty) $ (atom_const atom_ty) $ t
- end
-
-(* functions that coerces singletons, sets and fsets of concrete atoms
- into sets of general atoms *)
-fun setify ctxt t =
- let
- val ty = fastype_of t;
- in
- if is_atom ctxt ty
- then HOLogic.mk_set @{typ atom} [mk_atom t]
- else if is_atom_set ctxt ty
- then mk_atom_set t
- else if is_atom_fset ctxt ty
- then mk_atom_fset t
- else raise TERM ("setify", [t])
- end
-
-(* functions that coerces singletons and lists of concrete atoms
- into lists of general atoms *)
-fun listify ctxt t =
- let
- val ty = fastype_of t;
- in
- if is_atom ctxt ty
- then HOLogic.mk_list @{typ atom} [mk_atom t]
- else if is_atom_list ctxt ty
- then mk_atom_list t
- else raise TERM ("listify", [t])
- end
-
-
(** functions that define the raw binding functions **)
(* strip_bn_fun takes a rhs of a bn function: this can only contain unions or
--- a/Nominal/nominal_library.ML Fri Dec 10 19:01:44 2010 +0000
+++ b/Nominal/nominal_library.ML Sun Dec 12 00:10:40 2010 +0000
@@ -12,6 +12,7 @@
val is_true: term -> bool
val dest_listT: typ -> typ
+ val dest_fsetT: typ -> typ
val mk_id: term -> term
@@ -34,6 +35,28 @@
val mk_atom_ty: typ -> term -> term
val mk_atom: term -> term
+ val mk_atom_set_ty: typ -> term -> term
+ val mk_atom_set: term -> term
+ val mk_atom_fset_ty: typ -> term -> term
+ val mk_atom_fset: term -> term
+ val mk_atom_list_ty: typ -> term -> term
+ val mk_atom_list: term -> term
+
+ val is_atom: Proof.context -> typ -> bool
+ val is_atom_set: Proof.context -> typ -> bool
+ val is_atom_fset: Proof.context -> typ -> bool
+ val is_atom_list: Proof.context -> typ -> bool
+
+ val setify_ty: Proof.context -> typ -> term -> term
+ val setify: Proof.context -> term -> term
+ val listify_ty: Proof.context -> typ -> term -> term
+ val listify: Proof.context -> term -> term
+
+ val fresh_ty: typ -> typ -> typ
+ val fresh_star_const: typ -> typ -> term
+ val mk_fresh_star_ty: typ -> typ -> term -> term -> term
+ val mk_fresh_star: term -> term -> term
+
val supp_ty: typ -> typ
val supp_const: typ -> term
val mk_supp_ty: typ -> term -> term
@@ -110,6 +133,10 @@
fun dest_listT (Type (@{type_name list}, [T])) = T
| dest_listT T = raise TYPE ("dest_listT: list type expected", [T], [])
+fun dest_fsetT (Type (@{type_name fset}, [T])) = T
+ | dest_fsetT T = raise TYPE ("dest_fsetT: fset type expected", [T], []);
+
+
fun mk_id trm =
let
val ty = fastype_of trm
@@ -150,6 +177,79 @@
fun mk_atom_ty ty t = atom_const ty $ t;
fun mk_atom t = mk_atom_ty (fastype_of t) t;
+fun mk_atom_set_ty ty t =
+ let
+ val atom_ty = HOLogic.dest_setT ty --> @{typ "atom"};
+ val img_ty = atom_ty --> ty --> @{typ "atom set"};
+ in
+ Const (@{const_name image}, img_ty) $ mk_atom_ty atom_ty t
+ end
+
+fun mk_atom_fset_ty ty t =
+ let
+ val atom_ty = dest_fsetT ty
+ val fmap_ty = (atom_ty --> @{typ atom}) --> ty --> @{typ "atom fset"};
+ val fset = @{term "fset :: atom fset => atom set"}
+ in
+ fset $ (Const (@{const_name map_fset}, fmap_ty) $ (atom_const atom_ty) $ t)
+ end
+
+fun mk_atom_list_ty ty t =
+ let
+ val atom_ty = dest_listT ty
+ val map_ty = (atom_ty --> @{typ atom}) --> ty --> @{typ "atom list"}
+ in
+ Const (@{const_name map}, map_ty) $ (atom_const atom_ty) $ t
+ end
+
+fun mk_atom_set t = mk_atom_set_ty (fastype_of t) t
+fun mk_atom_fset t = mk_atom_fset_ty (fastype_of t) t
+fun mk_atom_list t = mk_atom_list_ty (fastype_of t) t
+
+
+
+(* testing for concrete atom types *)
+fun is_atom ctxt ty =
+ Sign.of_sort (ProofContext.theory_of ctxt) (ty, @{sort at_base})
+
+fun is_atom_set ctxt (Type ("fun", [t, @{typ bool}])) = is_atom ctxt t
+ | is_atom_set _ _ = false;
+
+fun is_atom_fset ctxt (Type (@{type_name "fset"}, [t])) = is_atom ctxt t
+ | is_atom_fset _ _ = false;
+
+fun is_atom_list ctxt (Type (@{type_name "list"}, [t])) = is_atom ctxt t
+ | is_atom_list _ _ = false
+
+
+(* functions that coerces singletons, sets and fsets of concrete atoms
+ into sets of general atoms *)
+fun setify_ty ctxt ty t =
+ if is_atom ctxt ty
+ then HOLogic.mk_set @{typ atom} [mk_atom_ty ty t]
+ else if is_atom_set ctxt ty
+ then mk_atom_set_ty ty t
+ else if is_atom_fset ctxt ty
+ then mk_atom_fset_ty ty t
+ else raise TERM ("setify", [t])
+
+(* functions that coerces singletons and lists of concrete atoms
+ into lists of general atoms *)
+fun listify_ty ctxt ty t =
+ if is_atom ctxt ty
+ then HOLogic.mk_list @{typ atom} [mk_atom_ty ty t]
+ else if is_atom_list ctxt ty
+ then mk_atom_list_ty ty t
+ else raise TERM ("listify", [t])
+
+fun setify ctxt t = setify_ty ctxt (fastype_of t) t
+fun listify ctxt t = listify_ty ctxt (fastype_of t) t
+
+fun fresh_ty ty1 ty2 = [ty1, ty2] ---> @{typ bool}
+fun fresh_star_const ty1 ty2 = Const (@{const_name fresh_star}, fresh_ty ty1 ty2)
+fun mk_fresh_star_ty ty1 ty2 t1 t2 = fresh_star_const ty1 ty2 $ t1 $ t2
+fun mk_fresh_star t1 t2 = mk_fresh_star_ty (fastype_of t1) (fastype_of t2) t1 t2
+
fun supp_ty ty = ty --> @{typ "atom set"};
fun supp_const ty = Const (@{const_name supp}, supp_ty ty)
fun mk_supp_ty ty t = supp_const ty $ t