--- a/Quot/Nominal/Test.thy Wed Feb 24 17:32:43 2010 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,444 +0,0 @@
-theory Test
-imports "Nominal2_Atoms" "Nominal2_Eqvt" "Nominal2_Supp"
-begin
-
-atom_decl name
-
-
-(* tests *)
-ML {*
-Datatype.datatype_cmd;
-Datatype.add_datatype Datatype.default_config;
-
-Primrec.add_primrec_cmd;
-Primrec.add_primrec;
-Primrec.add_primrec_simple;
-*}
-
-section {* test for setting up a primrec on the ML-level *}
-
-section{* Interface for nominal_datatype *}
-
-text {*
-
-Nominal-Datatype-part:
-
-1st Arg: string list
- ^^^^^^^^^^^
- strings of the types to be defined
-
-2nd Arg: (string list * binding * mixfix * (binding * typ list * mixfix) list) list
- ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
- type(s) to be defined constructors list
- (ty args, name, syn) (name, typs, syn)
-
-Binder-Function-part:
-
-3rd Arg: (binding * typ option * mixfix) list
- ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
- binding function(s)
- to be defined
- (name, type, syn)
-
-4th Arg: term list
- ^^^^^^^^^
- the equations of the binding functions
- (Trueprop equations)
-*}
-
-text {*****************************************************}
-ML {*
-(* nominal datatype parser *)
-local
- structure P = OuterParse
-in
-
-val _ = OuterKeyword.keyword "bind"
-val anno_typ = Scan.option (P.name --| P.$$$ "::") -- P.typ
-
-(* binding specification *)
-(* should use and_list *)
-val bind_parser =
- P.enum "," ((P.$$$ "bind" |-- P.term) -- (P.$$$ "in" |-- P.name))
-
-val constr_parser =
- P.binding -- Scan.repeat anno_typ
-
-(* datatype parser *)
-val dt_parser =
- ((P.type_args -- P.binding -- P.opt_infix) >> P.triple1) --
- (P.$$$ "=" |-- P.enum1 "|" ((constr_parser -- bind_parser -- P.opt_mixfix) >> P.triple_swap))
-
-(* function equation parser *)
-val fun_parser =
- Scan.optional (P.$$$ "binder" |-- P.fixes -- SpecParse.where_alt_specs) ([],[])
-
-(* main parser *)
-val main_parser =
- (P.and_list1 dt_parser) -- fun_parser
-
-end
-*}
-
-(* adds "_raw" to the end of constants and types *)
-ML {*
-fun add_raw s = s ^ "_raw"
-fun add_raws ss = map add_raw ss
-fun raw_bind bn = Binding.suffix_name "_raw" bn
-
-fun replace_str ss s =
- case (AList.lookup (op=) ss s) of
- SOME s' => s'
- | NONE => s
-
-fun replace_typ ty_ss (Type (a, Ts)) = Type (replace_str ty_ss a, map (replace_typ ty_ss) Ts)
- | replace_typ ty_ss T = T
-
-fun raw_dts ty_ss dts =
-let
- val ty_ss' = ty_ss ~~ (add_raws ty_ss)
-
- fun raw_dts_aux1 (bind, tys, mx) =
- (raw_bind bind, map (replace_typ ty_ss') tys, mx)
-
- fun raw_dts_aux2 (ty_args, bind, mx, constrs) =
- (ty_args, raw_bind bind, mx, map raw_dts_aux1 constrs)
-in
- map raw_dts_aux2 dts
-end
-
-fun replace_aterm trm_ss (Const (a, T)) = Const (replace_str trm_ss a, T)
- | replace_aterm trm_ss (Free (a, T)) = Free (replace_str trm_ss a, T)
- | replace_aterm trm_ss trm = trm
-
-fun replace_term trm_ss ty_ss trm =
- trm |> Term.map_aterms (replace_aterm trm_ss) |> map_types (replace_typ ty_ss)
-*}
-
-ML {*
-fun get_constrs dts =
- flat (map (fn (_, _, _, constrs) => constrs) dts)
-
-fun get_typed_constrs dts =
- flat (map (fn (_, bn, _, constrs) =>
- (map (fn (bn', _, _) => (Binding.name_of bn, Binding.name_of bn')) constrs)) dts)
-
-fun get_constr_strs dts =
- map (fn (bn, _, _) => Binding.name_of bn) (get_constrs dts)
-
-fun get_bn_fun_strs bn_funs =
- map (fn (bn_fun, _, _) => Binding.name_of bn_fun) bn_funs
-*}
-
-ML {*
-fun raw_dts_decl dt_names dts lthy =
-let
- val thy = ProofContext.theory_of lthy
- val conf = Datatype.default_config
-
- val dt_names' = add_raws dt_names
- val dt_full_names = map (Sign.full_bname thy) dt_names
- val dts' = raw_dts dt_full_names dts
-in
- lthy
- |> Local_Theory.theory_result (Datatype.add_datatype conf dt_names' dts')
-end
-*}
-
-ML {*
-fun raw_bn_fun_decl dt_names dts bn_funs bn_eqs lthy =
-let
- val thy = ProofContext.theory_of lthy
-
- val dt_names' = add_raws dt_names
- val dt_full_names = map (Sign.full_bname thy) dt_names
- val dt_full_names' = map (Sign.full_bname thy) dt_names'
-
- val ctrs_names = map (Sign.full_bname thy) (get_constr_strs dts)
- val ctrs_names' = map (fn (x, y) => (Sign.full_bname_path thy (add_raw x) (add_raw y)))
- (get_typed_constrs dts)
-
- val bn_fun_strs = get_bn_fun_strs bn_funs
- val bn_fun_strs' = add_raws bn_fun_strs
-
- val bn_funs' = map (fn (bn, opt_ty, mx) =>
- (raw_bind bn, Option.map (replace_typ (dt_full_names ~~ dt_full_names')) opt_ty, mx)) bn_funs
-
- val bn_eqs' = map (fn trm =>
- (Attrib.empty_binding,
- (replace_term ((ctrs_names ~~ ctrs_names') @ (bn_fun_strs ~~ bn_fun_strs')) (dt_full_names ~~ dt_full_names') trm))) bn_eqs
-in
- if null bn_eqs
- then (([], []), lthy)
- else Primrec.add_primrec bn_funs' bn_eqs' lthy
-end
-*}
-
-ML {*
-fun nominal_datatype2 dts bn_funs bn_eqs lthy =
-let
- val dts_names = map (fn (_, s, _, _) => Binding.name_of s) dts
-in
- lthy
- |> raw_dts_decl dts_names dts
- ||>> raw_bn_fun_decl dts_names dts bn_funs bn_eqs
-end
-*}
-
-ML {*
-(* makes a full named type out of a binding with tvars applied to it *)
-fun mk_type thy bind tvrs =
- Type (Sign.full_name thy bind, map (fn s => TVar ((s, 0), [])) tvrs)
-
-fun get_constrs2 thy dts =
-let
- val dts' = map (fn (tvrs, tname, _, constrs) => (mk_type thy tname tvrs, constrs)) dts
-in
- flat (map (fn (ty, constrs) => map (fn (bn, tys, mx) => (bn, tys ---> ty, mx)) constrs) dts')
-end
-*}
-
-ML {*
-fun nominal_datatype2_cmd (dt_strs, (bn_fun_strs, bn_eq_strs)) lthy =
-let
- val thy = ProofContext.theory_of lthy
-
- fun prep_typ ((tvs, tname, mx), _) = (tname, length tvs, mx);
-
- (* adding the types for parsing datatypes *)
- val lthy_tmp = lthy
- |> Local_Theory.theory (Sign.add_types (map prep_typ dt_strs))
-
- fun prep_cnstr lthy (((cname, atys), mx), binders) =
- (cname, map (Syntax.read_typ lthy o snd) atys, mx)
-
- fun prep_dt lthy ((tvs, tname, mx), cnstrs) =
- (tvs, tname, mx, map (prep_cnstr lthy) cnstrs)
-
- (* parsing the datatypes *)
- val dts_prep = map (prep_dt lthy_tmp) dt_strs
-
- (* adding constructors for parsing functions *)
- val lthy_tmp2 = lthy_tmp
- |> Local_Theory.theory (Sign.add_consts_i (get_constrs2 thy dts_prep))
-
- val (bn_fun_aux, bn_eq_aux) = fst (Specification.read_spec bn_fun_strs bn_eq_strs lthy_tmp2)
-
- fun prep_bn_fun ((bn, T), mx) = (bn, SOME T, mx)
-
- fun prep_bn_eq (attr, t) = t
-
- val bn_fun_prep = map prep_bn_fun bn_fun_aux
- val bn_eq_prep = map prep_bn_eq bn_eq_aux
-
-in
- nominal_datatype2 dts_prep bn_fun_prep bn_eq_prep lthy |> snd
-end
-*}
-
-(* Command Keyword *)
-ML {*
-let
- val kind = OuterKeyword.thy_decl
-in
- OuterSyntax.local_theory "nominal_datatype" "test" kind
- (main_parser >> nominal_datatype2_cmd)
-end
-*}
-
-text {* example 1 *}
-
-nominal_datatype lam =
- VAR "name"
-| APP "lam" "lam"
-| LET bp::"bp" t::"lam" bind "bi bp" in t ("Let _ in _" [100,100] 100)
-and bp =
- BP "name" "lam" ("_ ::= _" [100,100] 100)
-binder
- bi::"bp \<Rightarrow> name set"
-where
- "bi (BP x t) = {x}"
-
-typ lam_raw
-term VAR_raw
-term Test.BP_raw
-thm bi_raw.simps
-
-print_theorems
-
-text {* examples 2 *}
-nominal_datatype trm =
- Var "name"
-| App "trm" "trm"
-| Lam x::"name" t::"trm" bind x in t
-| Let p::"pat" "trm" t::"trm" bind "f p" in t
-and pat =
- PN
-| PS "name"
-| PD "name" "name"
-binder
- f::"pat \<Rightarrow> name set"
-where
- "f PN = {}"
-| "f (PS x) = {x}"
-| "f (PD x y) = {x,y}"
-
-thm f_raw.simps
-
-nominal_datatype trm0 =
- Var0 "name"
-| App0 "trm0" "trm0"
-| Lam0 x::"name" t::"trm0" bind x in t
-| Let0 p::"pat0" "trm0" t::"trm0" bind "f0 p" in t
-and pat0 =
- PN0
-| PS0 "name"
-| PD0 "pat0" "pat0"
-binder
- f0::"pat0 \<Rightarrow> name set"
-where
- "f0 PN0 = {}"
-| "f0 (PS0 x) = {x}"
-| "f0 (PD0 p1 p2) = (f0 p1) \<union> (f0 p2)"
-
-thm f0_raw.simps
-
-text {* example type schemes *}
-datatype ty =
- Var "name"
-| Fun "ty" "ty"
-
-nominal_datatype tyS =
- All xs::"name list" ty::"ty" bind xs in ty
-
-
-
-(* example 1 from Terms.thy *)
-
-nominal_datatype trm1 =
- Vr1 "name"
-| Ap1 "trm1" "trm1"
-| Lm1 x::"name" t::"trm1" bind x in t
-| Lt1 p::"bp1" "trm1" t::"trm1" bind "bv1 p" in t
-and bp1 =
- BUnit1
-| BV1 "name"
-| BP1 "bp1" "bp1"
-binder
- bv1
-where
- "bv1 (BUnit1) = {}"
-| "bv1 (BV1 x) = {atom x}"
-| "bv1 (BP1 bp1 bp2) = (bv1 bp1) \<union> (bv1 bp2)"
-
-thm bv1_raw.simps
-
-(* example 2 from Terms.thy *)
-
-nominal_datatype trm2 =
- Vr2 "name"
-| Ap2 "trm2" "trm2"
-| Lm2 x::"name" t::"trm2" bind x in t
-| Lt2 r::"rassign" t::"trm2" bind "bv2 r" in t
-and rassign =
- As "name" "trm2"
-binder
- bv2
-where
- "bv2 (As x t) = {atom x}"
-
-(* example 3 from Terms.thy *)
-
-nominal_datatype trm3 =
- Vr3 "name"
-| Ap3 "trm3" "trm3"
-| Lm3 x::"name" t::"trm3" bind x in t
-| Lt3 r::"rassigns3" t::"trm3" bind "bv3 r" in t
-and rassigns3 =
- ANil
-| ACons "name" "trm3" "rassigns3"
-binder
- bv3
-where
- "bv3 ANil = {}"
-| "bv3 (ACons x t as) = {atom x} \<union> (bv3 as)"
-
-(* example 4 from Terms.thy *)
-
-nominal_datatype trm4 =
- Vr4 "name"
-| Ap4 "trm4" "trm4 list"
-| Lm4 x::"name" t::"trm4" bind x in t
-
-(* example 5 from Terms.thy *)
-
-nominal_datatype trm5 =
- Vr5 "name"
-| Ap5 "trm5" "trm5"
-| Lt5 l::"lts" t::"trm5" bind "bv5 l" in t
-and lts =
- Lnil
-| Lcons "name" "trm5" "lts"
-binder
- bv5
-where
- "bv5 Lnil = {}"
-| "bv5 (Lcons n t ltl) = {atom n} \<union> (bv5 ltl)"
-
-(* example 6 from Terms.thy *)
-
-nominal_datatype trm6 =
- Vr6 "name"
-| Lm6 x::"name" t::"trm6" bind x in t
-| Lt6 left::"trm6" right::"trm6" bind "bv6 left" in right
-binder
- bv6
-where
- "bv6 (Vr6 n) = {}"
-| "bv6 (Lm6 n t) = {atom n} \<union> bv6 t"
-| "bv6 (Lt6 l r) = bv6 l \<union> bv6 r"
-
-(* example 7 from Terms.thy *)
-
-nominal_datatype trm7 =
- Vr7 "name"
-| Lm7 l::"name" r::"trm7" bind l in r
-| Lt7 l::"trm7" r::"trm7" bind "bv7 l" in r
-binder
- bv7
-where
- "bv7 (Vr7 n) = {atom n}"
-| "bv7 (Lm7 n t) = bv7 t - {atom n}"
-| "bv7 (Lt7 l r) = bv7 l \<union> bv7 r"
-
-(* example 8 from Terms.thy *)
-
-nominal_datatype foo8 =
- Foo0 "name"
-| Foo1 b::"bar8" f::"foo8" bind "bv8 b" in foo
-and bar8 =
- Bar0 "name"
-| Bar1 "name" s::"name" b::"bar8" bind s in b
-binder
- bv8
-where
- "bv8 (Bar0 x) = {}"
-| "bv8 (Bar1 v x b) = {atom v}"
-
-(* example 9 from Terms.thy *)
-
-nominal_datatype lam9 =
- Var9 "name"
-| Lam9 n::"name" l::"lam9" bind n in l
-and bla9 =
- Bla9 f::"lam9" s::"lam9" bind "bv9 f" in s
-binder
- bv9
-where
- "bv9 (Var9 x) = {}"
-| "bv9 (Lam9 x b) = {atom x}"
-
-end
-
-
-