haftmann@32104
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(* Title: HOLCF/Tools/Domain/domain_extender.ML
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Author: David von Oheimb
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huffman@35794
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Author: Brian Huffman
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Theory extender for domain command, including theory syntax.
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*)
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signature DOMAIN_EXTENDER =
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sig
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val add_domain_cmd:
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binding ->
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((string * string option) list * binding * mixfix *
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(binding * (bool * binding option * string) list * mixfix) list) list
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-> theory -> theory
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val add_domain:
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binding ->
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((string * string option) list * binding * mixfix *
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(binding * (bool * binding option * typ) list * mixfix) list) list
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-> theory -> theory
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val add_new_domain_cmd:
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binding ->
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((string * string option) list * binding * mixfix *
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(binding * (bool * binding option * string) list * mixfix) list) list
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-> theory -> theory
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val add_new_domain:
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binding ->
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((string * string option) list * binding * mixfix *
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(binding * (bool * binding option * typ) list * mixfix) list) list
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-> theory -> theory
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end;
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structure Domain_Extender :> DOMAIN_EXTENDER =
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struct
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open Domain_Library;
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(* ----- general testing and preprocessing of constructor list -------------- *)
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fun check_and_sort_domain
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(definitional : bool)
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(dtnvs : (string * typ list) list)
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(cons'' : (binding * (bool * binding option * typ) list * mixfix) list list)
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(thy : theory)
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: ((string * typ list) *
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(binding * (bool * binding option * typ) list * mixfix) list) list =
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let
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val defaultS = Sign.defaultS thy;
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val test_dupl_typs =
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case duplicates (op =) (map fst dtnvs) of
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[] => false | dups => error ("Duplicate types: " ^ commas_quote dups);
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val all_cons = map (Binding.name_of o first) (flat cons'');
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val test_dupl_cons =
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case duplicates (op =) all_cons of
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[] => false | dups => error ("Duplicate constructors: "
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^ commas_quote dups);
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val all_sels =
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(map Binding.name_of o map_filter second o maps second) (flat cons'');
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val test_dupl_sels =
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case duplicates (op =) all_sels of
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[] => false | dups => error("Duplicate selectors: "^commas_quote dups);
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fun test_dupl_tvars s =
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case duplicates (op =) (map(fst o dest_TFree)s) of
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[] => false | dups => error("Duplicate type arguments: "
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^commas_quote dups);
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val test_dupl_tvars' = exists test_dupl_tvars (map snd dtnvs);
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(* test for free type variables, illegal sort constraints on rhs,
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non-pcpo-types and invalid use of recursive type;
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replace sorts in type variables on rhs *)
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fun analyse_equation ((dname,typevars),cons') =
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let
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val tvars = map dest_TFree typevars;
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val distinct_typevars = map TFree tvars;
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fun rm_sorts (TFree(s,_)) = TFree(s,[])
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| rm_sorts (Type(s,ts)) = Type(s,remove_sorts ts)
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| rm_sorts (TVar(s,_)) = TVar(s,[])
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and remove_sorts l = map rm_sorts l;
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val indirect_ok =
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[@{type_name "*"}, @{type_name cfun}, @{type_name ssum},
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@{type_name sprod}, @{type_name u}];
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fun analyse indirect (TFree(v,s)) =
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(case AList.lookup (op =) tvars v of
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NONE => error ("Free type variable " ^ quote v ^ " on rhs.")
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| SOME sort => if eq_set (op =) (s, defaultS) orelse
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eq_set (op =) (s, sort)
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then TFree(v,sort)
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else error ("Inconsistent sort constraint" ^
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" for type variable " ^ quote v))
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| analyse indirect (t as Type(s,typl)) =
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(case AList.lookup (op =) dtnvs s of
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NONE =>
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if definitional orelse s mem indirect_ok
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then Type(s,map (analyse false) typl)
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else Type(s,map (analyse true) typl)
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| SOME typevars =>
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if indirect
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then error ("Indirect recursion of type " ^
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quote (string_of_typ thy t))
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else if dname <> s orelse
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(** BUG OR FEATURE?:
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mutual recursion may use different arguments **)
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remove_sorts typevars = remove_sorts typl
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then Type(s,map (analyse true) typl)
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else error ("Direct recursion of type " ^
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quote (string_of_typ thy t) ^
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" with different arguments"))
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| analyse indirect (TVar _) = Imposs "extender:analyse";
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fun check_pcpo lazy T =
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let val ok = if lazy then cpo_type else pcpo_type
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in if ok thy T then T
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else error ("Constructor argument type is not of sort pcpo: " ^
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string_of_typ thy T)
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end;
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fun analyse_arg (lazy, sel, T) =
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(lazy, sel, check_pcpo lazy (analyse false T));
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fun analyse_con (b, args, mx) = (b, map analyse_arg args, mx);
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in ((dname,distinct_typevars), map analyse_con cons') end;
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in ListPair.map analyse_equation (dtnvs,cons'')
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end; (* let *)
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(* ----- calls for building new thy and thms -------------------------------- *)
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fun gen_add_domain
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(prep_typ : theory -> 'a -> typ)
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(comp_dbind : binding)
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(eqs''' : ((string * string option) list * binding * mixfix *
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(binding * (bool * binding option * 'a) list * mixfix) list) list)
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(thy : theory) =
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let
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val dtnvs : (binding * typ list * mixfix) list =
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let
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fun readS (SOME s) = Syntax.read_sort_global thy s
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| readS NONE = Sign.defaultS thy;
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fun readTFree (a, s) = TFree (a, readS s);
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in
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map (fn (vs,dname:binding,mx,_) =>
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(dname, map readTFree vs, mx)) eqs'''
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end;
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(* declare new types *)
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val thy =
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let
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fun thy_type (dname,tvars,mx) = (dname, length tvars, mx);
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fun thy_arity (dname,tvars,mx) =
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(Sign.full_name thy dname, map (snd o dest_TFree) tvars, pcpoS);
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in
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thy
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|> Sign.add_types (map thy_type dtnvs)
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|> fold (AxClass.axiomatize_arity o thy_arity) dtnvs
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end;
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val dbinds : binding list =
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map (fn (_,dbind,_,_) => dbind) eqs''';
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val cons''' :
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(binding * (bool * binding option * 'a) list * mixfix) list list =
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map (fn (_,_,_,cons) => cons) eqs''';
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val cons'' :
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(binding * (bool * binding option * typ) list * mixfix) list list =
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map (map (upd_second (map (upd_third (prep_typ thy))))) cons''';
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val dtnvs' : (string * typ list) list =
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map (fn (dname,vs,mx) => (Sign.full_name thy dname,vs)) dtnvs;
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val eqs' : ((string * typ list) *
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(binding * (bool * binding option * typ) list * mixfix) list) list =
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check_and_sort_domain false dtnvs' cons'' thy;
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val dts : typ list = map (Type o fst) eqs';
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val new_dts : (string * string list) list =
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map (fn ((s,Ts),_) => (s, map (fst o dest_TFree) Ts)) eqs';
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fun one_con (con,args,mx) : cons =
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(Binding.name_of con, (* FIXME preverse binding (!?) *)
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ListPair.map (fn ((lazy,sel,tp),vn) =>
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mk_arg ((lazy, Datatype_Aux.dtyp_of_typ new_dts tp), vn))
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(args, Datatype_Prop.make_tnames (map third args)));
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val eqs : eq list =
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map (fn (dtnvs,cons') => (dtnvs, map one_con cons')) eqs';
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fun mk_arg_typ (lazy, dest_opt, T) = if lazy then mk_uT T else T;
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fun mk_con_typ (bind, args, mx) =
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if null args then oneT else foldr1 mk_sprodT (map mk_arg_typ args);
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fun mk_eq_typ (_, cons) = foldr1 mk_ssumT (map mk_con_typ cons);
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val repTs : typ list = map mk_eq_typ eqs';
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val dom_eqns : (binding * (typ * typ)) list = dbinds ~~ (dts ~~ repTs);
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val ((iso_infos, take_info), thy) =
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Domain_Axioms.add_axioms dom_eqns thy;
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val ((rewss, take_rews), theorems_thy) =
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thy
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|> fold_map (fn (((dbind, eq), (_,cs)), info) =>
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Domain_Theorems.theorems (eq, eqs) dbind cs info take_info)
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(dbinds ~~ eqs ~~ eqs' ~~ iso_infos)
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||>> Domain_Theorems.comp_theorems (comp_dbind, eqs) take_info;
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in
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theorems_thy
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|> PureThy.add_thmss
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[((Binding.qualified true "rews" comp_dbind,
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flat rewss @ take_rews), [])]
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|> snd
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end;
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fun gen_add_new_domain
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(prep_typ : theory -> 'a -> typ)
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(comp_dbind : binding)
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(eqs''' : ((string * string option) list * binding * mixfix *
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(binding * (bool * binding option * 'a) list * mixfix) list) list)
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(thy : theory) =
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let
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val dtnvs : (binding * typ list * mixfix) list =
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let
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fun readS (SOME s) = Syntax.read_sort_global thy s
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| readS NONE = Sign.defaultS thy;
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fun readTFree (a, s) = TFree (a, readS s);
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in
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map (fn (vs,dname:binding,mx,_) =>
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(dname, map readTFree vs, mx)) eqs'''
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end;
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fun thy_type (dname,tvars,mx) = (dname, length tvars, mx);
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fun thy_arity (dname,tvars,mx) =
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(Sign.full_name thy dname, map (snd o dest_TFree) tvars, @{sort rep});
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huffman@33792
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(* this theory is used just for parsing and error checking *)
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val tmp_thy = thy
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|> Theory.copy
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|> Sign.add_types (map thy_type dtnvs)
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|> fold (AxClass.axiomatize_arity o thy_arity) dtnvs;
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val dbinds : binding list =
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huffman@35776
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map (fn (_,dbind,_,_) => dbind) eqs''';
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huffman@35506
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val cons''' :
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huffman@35506
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(binding * (bool * binding option * 'a) list * mixfix) list list =
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huffman@35506
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map (fn (_,_,_,cons) => cons) eqs''';
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huffman@35506
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val cons'' :
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huffman@35506
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(binding * (bool * binding option * typ) list * mixfix) list list =
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huffman@35506
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map (map (upd_second (map (upd_third (prep_typ tmp_thy))))) cons''';
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huffman@33792
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val dtnvs' : (string * typ list) list =
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huffman@35506
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map (fn (dname,vs,mx) => (Sign.full_name thy dname,vs)) dtnvs;
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huffman@33792
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val eqs' : ((string * typ list) *
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huffman@33792
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(binding * (bool * binding option * typ) list * mixfix) list) list =
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huffman@35506
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check_and_sort_domain true dtnvs' cons'' tmp_thy;
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huffman@33792
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huffman@33792
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fun mk_arg_typ (lazy, dest_opt, T) = if lazy then mk_uT T else T;
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huffman@33792
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fun mk_con_typ (bind, args, mx) =
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huffman@33792
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if null args then oneT else foldr1 mk_sprodT (map mk_arg_typ args);
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huffman@33792
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fun mk_eq_typ (_, cons) = foldr1 mk_ssumT (map mk_con_typ cons);
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huffman@35659
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val ((iso_infos, take_info), thy) = thy |>
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huffman@33792
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Domain_Isomorphism.domain_isomorphism
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huffman@33792
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(map (fn ((vs, dname, mx, _), eq) =>
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huffman@34138
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(map fst vs, dname, mx, mk_eq_typ eq, NONE))
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huffman@33792
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(eqs''' ~~ eqs'))
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huffman@33792
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huffman@35506
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val dts : typ list = map (Type o fst) eqs';
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huffman@35506
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val new_dts : (string * string list) list =
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huffman@35506
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map (fn ((s,Ts),_) => (s, map (fst o dest_TFree) Ts)) eqs';
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huffman@35506
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fun one_con (con,args,mx) : cons =
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wenzelm@35129
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(Binding.name_of con, (* FIXME preverse binding (!?) *)
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huffman@33792
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261 |
ListPair.map (fn ((lazy,sel,tp),vn) =>
|
huffman@35505
|
262 |
mk_arg ((lazy, Datatype_Aux.dtyp_of_typ new_dts tp), vn))
|
huffman@35429
|
263 |
(args, Datatype_Prop.make_tnames (map third args))
|
huffman@35506
|
264 |
);
|
huffman@33792
|
265 |
val eqs : eq list =
|
huffman@33792
|
266 |
map (fn (dtnvs,cons') => (dtnvs, map one_con cons')) eqs';
|
huffman@33790
|
267 |
val ((rewss, take_rews), theorems_thy) =
|
huffman@33790
|
268 |
thy
|
huffman@35776
|
269 |
|> fold_map (fn (((dbind, eq), (x,cs)), info) =>
|
huffman@35776
|
270 |
Domain_Theorems.theorems (eq, eqs) dbind cs info take_info)
|
huffman@35776
|
271 |
(dbinds ~~ eqs ~~ eqs' ~~ iso_infos)
|
huffman@35774
|
272 |
||>> Domain_Theorems.comp_theorems (comp_dbind, eqs) take_info;
|
huffman@33790
|
273 |
in
|
huffman@33790
|
274 |
theorems_thy
|
huffman@33790
|
275 |
|> PureThy.add_thmss
|
huffman@35774
|
276 |
[((Binding.qualified true "rews" comp_dbind,
|
huffman@35774
|
277 |
flat rewss @ take_rews), [])]
|
huffman@33790
|
278 |
|> snd
|
huffman@33790
|
279 |
end;
|
wenzelm@23152
|
280 |
|
huffman@30919
|
281 |
val add_domain = gen_add_domain Sign.certify_typ;
|
huffman@30919
|
282 |
val add_domain_cmd = gen_add_domain Syntax.read_typ_global;
|
wenzelm@23152
|
283 |
|
huffman@33792
|
284 |
val add_new_domain = gen_add_new_domain Sign.certify_typ;
|
huffman@33792
|
285 |
val add_new_domain_cmd = gen_add_new_domain Syntax.read_typ_global;
|
huffman@33792
|
286 |
|
wenzelm@23152
|
287 |
|
wenzelm@23152
|
288 |
(** outer syntax **)
|
wenzelm@23152
|
289 |
|
wenzelm@23152
|
290 |
local structure P = OuterParse and K = OuterKeyword in
|
wenzelm@23152
|
291 |
|
wenzelm@27353
|
292 |
val _ = OuterKeyword.keyword "lazy";
|
wenzelm@24867
|
293 |
|
huffman@30919
|
294 |
val dest_decl : (bool * binding option * string) parser =
|
huffman@33790
|
295 |
P.$$$ "(" |-- Scan.optional (P.$$$ "lazy" >> K true) false --
|
huffman@33790
|
296 |
(P.binding >> SOME) -- (P.$$$ "::" |-- P.typ) --| P.$$$ ")" >> P.triple1
|
huffman@33790
|
297 |
|| P.$$$ "(" |-- P.$$$ "lazy" |-- P.typ --| P.$$$ ")"
|
huffman@33790
|
298 |
>> (fn t => (true,NONE,t))
|
huffman@33790
|
299 |
|| P.typ >> (fn t => (false,NONE,t));
|
wenzelm@23152
|
300 |
|
wenzelm@23152
|
301 |
val cons_decl =
|
huffman@33790
|
302 |
P.binding -- Scan.repeat dest_decl -- P.opt_mixfix;
|
wenzelm@23152
|
303 |
|
huffman@31161
|
304 |
val type_var' : (string * string option) parser =
|
huffman@33790
|
305 |
(P.type_ident -- Scan.option (P.$$$ "::" |-- P.!!! P.sort));
|
wenzelm@23152
|
306 |
|
huffman@31161
|
307 |
val type_args' : (string * string option) list parser =
|
huffman@33790
|
308 |
type_var' >> single
|
huffman@33790
|
309 |
|| P.$$$ "(" |-- P.!!! (P.list1 type_var' --| P.$$$ ")")
|
huffman@33790
|
310 |
|| Scan.succeed [];
|
huffman@30916
|
311 |
|
huffman@30916
|
312 |
val domain_decl =
|
wenzelm@35352
|
313 |
(type_args' -- P.binding -- P.opt_mixfix) --
|
huffman@33790
|
314 |
(P.$$$ "=" |-- P.enum1 "|" cons_decl);
|
huffman@30916
|
315 |
|
wenzelm@23152
|
316 |
val domains_decl =
|
huffman@35774
|
317 |
Scan.option (P.$$$ "(" |-- P.binding --| P.$$$ ")") --
|
huffman@33790
|
318 |
P.and_list1 domain_decl;
|
huffman@30916
|
319 |
|
huffman@33790
|
320 |
fun mk_domain
|
huffman@33792
|
321 |
(definitional : bool)
|
huffman@35774
|
322 |
(opt_name : binding option,
|
huffman@33790
|
323 |
doms : ((((string * string option) list * binding) * mixfix) *
|
huffman@33790
|
324 |
((binding * (bool * binding option * string) list) * mixfix) list) list ) =
|
huffman@33790
|
325 |
let
|
huffman@33790
|
326 |
val names = map (fn (((_, t), _), _) => Binding.name_of t) doms;
|
huffman@33790
|
327 |
val specs : ((string * string option) list * binding * mixfix *
|
huffman@33790
|
328 |
(binding * (bool * binding option * string) list * mixfix) list) list =
|
huffman@33790
|
329 |
map (fn (((vs, t), mx), cons) =>
|
huffman@33790
|
330 |
(vs, t, mx, map (fn ((c, ds), mx) => (c, ds, mx)) cons)) doms;
|
huffman@35774
|
331 |
val comp_dbind =
|
huffman@35774
|
332 |
case opt_name of NONE => Binding.name (space_implode "_" names)
|
huffman@35774
|
333 |
| SOME s => s;
|
huffman@33792
|
334 |
in
|
huffman@33792
|
335 |
if definitional
|
huffman@35774
|
336 |
then add_new_domain_cmd comp_dbind specs
|
huffman@35774
|
337 |
else add_domain_cmd comp_dbind specs
|
huffman@33792
|
338 |
end;
|
wenzelm@23152
|
339 |
|
wenzelm@24867
|
340 |
val _ =
|
huffman@33790
|
341 |
OuterSyntax.command "domain" "define recursive domains (HOLCF)"
|
huffman@33792
|
342 |
K.thy_decl (domains_decl >> (Toplevel.theory o mk_domain false));
|
huffman@33792
|
343 |
|
huffman@33792
|
344 |
val _ =
|
huffman@33792
|
345 |
OuterSyntax.command "new_domain" "define recursive domains (HOLCF)"
|
huffman@33792
|
346 |
K.thy_decl (domains_decl >> (Toplevel.theory o mk_domain true));
|
wenzelm@23152
|
347 |
|
wenzelm@24867
|
348 |
end;
|
wenzelm@23152
|
349 |
|
wenzelm@23152
|
350 |
end;
|