author | huffman |
Tue, 02 Mar 2010 17:21:10 -0800 | |
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parent 35521 | 47eec4da124a |
child 35529 | 089e438b925b |
permissions | -rw-r--r-- |
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(* Title: HOLCF/Tools/Domain/domain_extender.ML |
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Author: David von Oheimb |
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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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string -> |
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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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string -> |
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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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string -> |
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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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string -> |
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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_dnam : string) |
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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 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 thy = Domain_Syntax.add_syntax eqs' 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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val thy = Domain_Axioms.add_axioms eqs' eqs thy; |
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val ((rewss, take_rews), theorems_thy) = |
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thy |
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|> fold_map (fn (eq, (x,cs)) => |
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Domain_Theorems.theorems (eq, eqs) (Type x, cs)) |
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(eqs ~~ eqs') |
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||>> Domain_Theorems.comp_theorems (comp_dnam, eqs); |
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in |
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theorems_thy |
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|> Sign.add_path (Long_Name.base_name comp_dnam) |
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|> PureThy.add_thmss |
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[((Binding.name "rews", flat rewss @ take_rews), [])] |
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|> snd |
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|> Sign.parent_path |
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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_dnam : string) |
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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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(* 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 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 tmp_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 true dtnvs' cons'' tmp_thy; |
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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 (iso_infos, thy) = thy |> |
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Domain_Isomorphism.domain_isomorphism |
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(map (fn ((vs, dname, mx, _), eq) => |
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(map fst vs, dname, mx, mk_eq_typ eq, NONE)) |
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(eqs''' ~~ eqs')) |
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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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); |
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253 |
val eqs : eq list = |
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map (fn (dtnvs,cons') => (dtnvs, map one_con cons')) eqs'; |
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val ((rewss, take_rews), theorems_thy) = |
256 |
thy |
|
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|> fold_map (fn (eq, (x,cs)) => |
258 |
Domain_Theorems.theorems (eq, eqs) (Type x, cs)) |
|
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(eqs ~~ eqs') |
|
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||>> Domain_Theorems.comp_theorems (comp_dnam, eqs); |
261 |
in |
|
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theorems_thy |
|
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|> Sign.add_path (Long_Name.base_name comp_dnam) |
|
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|> PureThy.add_thmss |
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[((Binding.name "rews", flat rewss @ take_rews), [])] |
|
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|> snd |
|
267 |
|> Sign.parent_path |
|
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end; |
|
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|
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val add_domain = gen_add_domain Sign.certify_typ; |
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val add_domain_cmd = gen_add_domain Syntax.read_typ_global; |
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|
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val add_new_domain = gen_add_new_domain Sign.certify_typ; |
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val add_new_domain_cmd = gen_add_new_domain Syntax.read_typ_global; |
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275 |
|
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|
277 |
(** outer syntax **) |
|
278 |
||
279 |
local structure P = OuterParse and K = OuterKeyword in |
|
280 |
||
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val _ = OuterKeyword.keyword "lazy"; |
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|
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val dest_decl : (bool * binding option * string) parser = |
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P.$$$ "(" |-- Scan.optional (P.$$$ "lazy" >> K true) false -- |
285 |
(P.binding >> SOME) -- (P.$$$ "::" |-- P.typ) --| P.$$$ ")" >> P.triple1 |
|
286 |
|| P.$$$ "(" |-- P.$$$ "lazy" |-- P.typ --| P.$$$ ")" |
|
287 |
>> (fn t => (true,NONE,t)) |
|
288 |
|| P.typ >> (fn t => (false,NONE,t)); |
|
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|
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val cons_decl = |
|
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P.binding -- Scan.repeat dest_decl -- P.opt_mixfix; |
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292 |
|
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293 |
val type_var' : (string * string option) parser = |
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(P.type_ident -- Scan.option (P.$$$ "::" |-- P.!!! P.sort)); |
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295 |
|
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296 |
val type_args' : (string * string option) list parser = |
33796 | 297 |
type_var' >> single |
298 |
|| P.$$$ "(" |-- P.!!! (P.list1 type_var' --| P.$$$ ")") |
|
299 |
|| Scan.succeed []; |
|
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300 |
|
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301 |
val domain_decl = |
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(type_args' -- P.binding -- P.opt_mixfix) -- |
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(P.$$$ "=" |-- P.enum1 "|" cons_decl); |
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|
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305 |
val domains_decl = |
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Scan.option (P.$$$ "(" |-- P.name --| P.$$$ ")") -- |
307 |
P.and_list1 domain_decl; |
|
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|
33796 | 309 |
fun mk_domain |
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(definitional : bool) |
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(opt_name : string option, |
312 |
doms : ((((string * string option) list * binding) * mixfix) * |
|
313 |
((binding * (bool * binding option * string) list) * mixfix) list) list ) = |
|
314 |
let |
|
315 |
val names = map (fn (((_, t), _), _) => Binding.name_of t) doms; |
|
316 |
val specs : ((string * string option) list * binding * mixfix * |
|
317 |
(binding * (bool * binding option * string) list * mixfix) list) list = |
|
318 |
map (fn (((vs, t), mx), cons) => |
|
319 |
(vs, t, mx, map (fn ((c, ds), mx) => (c, ds, mx)) cons)) doms; |
|
320 |
val comp_dnam = |
|
321 |
case opt_name of NONE => space_implode "_" names | SOME s => s; |
|
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322 |
in |
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323 |
if definitional |
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then add_new_domain_cmd comp_dnam specs |
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325 |
else add_domain_cmd comp_dnam specs |
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326 |
end; |
23152 | 327 |
|
24867 | 328 |
val _ = |
33796 | 329 |
OuterSyntax.command "domain" "define recursive domains (HOLCF)" |
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330 |
K.thy_decl (domains_decl >> (Toplevel.theory o mk_domain false)); |
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331 |
|
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332 |
val _ = |
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333 |
OuterSyntax.command "new_domain" "define recursive domains (HOLCF)" |
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334 |
K.thy_decl (domains_decl >> (Toplevel.theory o mk_domain true)); |
23152 | 335 |
|
24867 | 336 |
end; |
23152 | 337 |
|
338 |
end; |