diff -r 4b0563bc4b03 -r 7d8949da7d99 Quot/Nominal/Test.thy --- 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 \ 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 \ 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 \ name set" -where - "f0 PN0 = {}" -| "f0 (PS0 x) = {x}" -| "f0 (PD0 p1 p2) = (f0 p1) \ (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) \ (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} \ (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} \ (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} \ bv6 t" -| "bv6 (Lt6 l r) = bv6 l \ 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 \ 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 - - -