src/Pure/axclass.ML
author wenzelm
Mon Jan 07 22:21:56 2013 +0100 (2013-01-07)
changeset 50764 2bbc7ae80634
parent 50760 eee13361ec0a
child 50768 2172f82de515
permissions -rw-r--r--
more precise and complete transitive closure of proven_classrel, using existing Sorts.classes_of which is already closed;
transfer theorems where they are picked from the theory;
tuned;
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(*  Title:      Pure/axclass.ML
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    Author:     Markus Wenzel, TU Muenchen
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Type classes defined as predicates, associated with a record of
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parameters.  Proven class relations and type arities.
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*)
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signature AX_CLASS =
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sig
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  type info = {def: thm, intro: thm, axioms: thm list, params: (string * typ) list}
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  val get_info: theory -> class -> info
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  val class_of_param: theory -> string -> class option
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  val instance_name: string * class -> string
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  val thynames_of_arity: theory -> class * string -> string list
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  val param_of_inst: theory -> string * string -> string
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  val inst_of_param: theory -> string -> (string * string) option
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  val unoverload: theory -> thm -> thm
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  val overload: theory -> thm -> thm
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  val unoverload_conv: theory -> conv
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  val overload_conv: theory -> conv
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  val lookup_inst_param: Consts.T -> ((string * string) * 'a) list -> string * typ -> 'a option
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  val unoverload_const: theory -> string * typ -> string
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  val cert_classrel: theory -> class * class -> class * class
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  val read_classrel: theory -> xstring * xstring -> class * class
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  val declare_overloaded: string * typ -> theory -> term * theory
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  val define_overloaded: binding -> string * term -> theory -> thm * theory
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  val add_classrel: thm -> theory -> theory
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  val add_arity: thm -> theory -> theory
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  val prove_classrel: class * class -> tactic -> theory -> theory
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  val prove_arity: string * sort list * sort -> tactic -> theory -> theory
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  val define_class: binding * class list -> string list ->
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    (Thm.binding * term list) list -> theory -> class * theory
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  val axiomatize_class: binding * class list -> theory -> theory
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  val axiomatize_class_cmd: binding * xstring list -> theory -> theory
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  val axiomatize_classrel: (class * class) list -> theory -> theory
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  val axiomatize_classrel_cmd: (xstring * xstring) list -> theory -> theory
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  val axiomatize_arity: arity -> theory -> theory
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  val axiomatize_arity_cmd: xstring * string list * string -> theory -> theory
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end;
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structure AxClass: AX_CLASS =
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struct
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(** theory data **)
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(* axclass info *)
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type info =
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 {def: thm,
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  intro: thm,
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  axioms: thm list,
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  params: (string * typ) list};
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fun make_axclass (def, intro, axioms, params): info =
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  {def = def, intro = intro, axioms = axioms, params = params};
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(* class parameters (canonical order) *)
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type param = string * class;
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fun add_param ctxt ((x, c): param) params =
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  (case AList.lookup (op =) params x of
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    NONE => (x, c) :: params
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  | SOME c' =>
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      error ("Duplicate class parameter " ^ quote x ^ " for " ^ Syntax.string_of_sort ctxt [c] ^
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        (if c = c' then "" else " and " ^ Syntax.string_of_sort ctxt [c'])));
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(* setup data *)
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datatype data = Data of
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 {axclasses: info Symtab.table,
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  params: param list,
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  proven_classrels: thm Symreltab.table,
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  proven_arities: ((class * sort list) * (thm * string)) list Symtab.table,
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    (*arity theorems with theory name*)
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  inst_params:
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    (string * thm) Symtab.table Symtab.table *
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      (*constant name ~> type constructor ~> (constant name, equation)*)
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    (string * string) Symtab.table (*constant name ~> (constant name, type constructor)*)};
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fun make_data
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    (axclasses, params, proven_classrels, proven_arities, inst_params) =
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  Data {axclasses = axclasses, params = params, proven_classrels = proven_classrels,
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    proven_arities = proven_arities, inst_params = inst_params};
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structure Data = Theory_Data_PP
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(
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  type T = data;
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  val empty =
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    make_data (Symtab.empty, [], Symreltab.empty, Symtab.empty, (Symtab.empty, Symtab.empty));
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  val extend = I;
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  fun merge pp
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      (Data {axclasses = axclasses1, params = params1, proven_classrels = proven_classrels1,
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        proven_arities = proven_arities1, inst_params = inst_params1},
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       Data {axclasses = axclasses2, params = params2, proven_classrels = proven_classrels2,
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        proven_arities = proven_arities2, inst_params = inst_params2}) =
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    let
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      val ctxt = Syntax.init_pretty pp;
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      val axclasses' = Symtab.merge (K true) (axclasses1, axclasses2);
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      val params' =
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        if null params1 then params2
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        else
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          fold_rev (fn p => if member (op =) params1 p then I else add_param ctxt p)
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            params2 params1;
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      (*see Theory.at_begin hook for transitive closure of classrels and arity completion*)
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      val proven_classrels' = Symreltab.join (K #1) (proven_classrels1, proven_classrels2);
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      val proven_arities' =
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        Symtab.join (K (Library.merge (eq_fst op =))) (proven_arities1, proven_arities2);
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      val inst_params' =
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        (Symtab.join (K (Symtab.merge (K true))) (#1 inst_params1, #1 inst_params2),
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          Symtab.merge (K true) (#2 inst_params1, #2 inst_params2));
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    in
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      make_data (axclasses', params', proven_classrels', proven_arities', inst_params')
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    end;
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);
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fun map_data f =
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  Data.map (fn Data {axclasses, params, proven_classrels, proven_arities, inst_params} =>
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    make_data (f (axclasses, params, proven_classrels, proven_arities, inst_params)));
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fun map_axclasses f =
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  map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params) =>
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    (f axclasses, params, proven_classrels, proven_arities, inst_params));
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fun map_params f =
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  map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params) =>
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    (axclasses, f params, proven_classrels, proven_arities, inst_params));
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fun map_proven_classrels f =
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  map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params) =>
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    (axclasses, params, f proven_classrels, proven_arities, inst_params));
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fun map_proven_arities f =
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  map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params) =>
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    (axclasses, params, proven_classrels, f proven_arities, inst_params));
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fun map_inst_params f =
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  map_data (fn (axclasses, params, proven_classrels, proven_arities, inst_params) =>
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    (axclasses, params, proven_classrels, proven_arities, f inst_params));
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val rep_data = Data.get #> (fn Data args => args);
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val axclasses_of = #axclasses o rep_data;
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val params_of = #params o rep_data;
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val proven_classrels_of = #proven_classrels o rep_data;
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val proven_arities_of = #proven_arities o rep_data;
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val inst_params_of = #inst_params o rep_data;
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(* axclasses with parameters *)
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fun get_info thy c =
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  (case Symtab.lookup (axclasses_of thy) c of
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    SOME info => info
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  | NONE => error ("No such axclass: " ^ quote c));
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fun all_params_of thy S =
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  let val params = params_of thy;
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  in fold (fn (x, c) => if Sign.subsort thy (S, [c]) then cons x else I) params [] end;
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fun class_of_param thy = AList.lookup (op =) (params_of thy);
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(* maintain instances *)
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val classrel_prefix = "classrel_";
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val arity_prefix = "arity_";
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fun instance_name (a, c) = Long_Name.base_name c ^ "_" ^ Long_Name.base_name a;
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val update_classrel = map_proven_classrels o Symreltab.update;
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val is_classrel = Symreltab.defined o proven_classrels_of;
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fun the_classrel thy (c1, c2) =
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  (case Symreltab.lookup (proven_classrels_of thy) (c1, c2) of
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    SOME thm => Thm.transfer thy thm
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  | NONE => error ("Unproven class relation " ^
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      Syntax.string_of_classrel (Proof_Context.init_global thy) [c1, c2]));
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fun complete_classrels thy =
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  let
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    fun complete (c, (_, (all_preds, all_succs))) (finished1, thy1) =
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      let
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        val proven = is_classrel thy1;
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        val preds = Graph.Keys.fold (fn c1 => proven (c1, c) ? cons c1) all_preds [];
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        val succs = Graph.Keys.fold (fn c2 => proven (c, c2) ? cons c2) all_succs [];
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        fun complete c1 c2 (finished2, thy2) =
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          if is_classrel thy2 (c1, c2) then (finished2, thy2)
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          else
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            (false,
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              thy2
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              |> update_classrel ((c1, c2),
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                (the_classrel thy2 (c1, c) RS the_classrel thy2 (c, c2))
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                |> Drule.instantiate' [SOME (ctyp_of thy2 (TVar ((Name.aT, 0), [])))] []
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                |> Thm.close_derivation));
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      in fold_product complete preds succs (finished1, thy1) end;
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    val (finished', thy') =
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      Graph.fold complete (Sorts.classes_of (Sign.classes_of thy)) (true, thy);
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  in
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    if finished' then NONE else SOME thy'
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  end;
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fun the_arity thy (a, Ss, c) =
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  (case AList.lookup (op =) (Symtab.lookup_list (proven_arities_of thy) a) (c, Ss) of
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    SOME (thm, _) => Thm.transfer thy thm
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  | NONE => error ("Unproven type arity " ^
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      Syntax.string_of_arity (Proof_Context.init_global thy) (a, Ss, [c])));
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fun thynames_of_arity thy (c, a) =
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  Symtab.lookup_list (proven_arities_of thy) a
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  |> map_filter (fn ((c', _), (_, name)) => if c = c' then SOME name else NONE)
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  |> rev;
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fun insert_arity_completions thy t ((c, Ss), ((th, thy_name))) (finished, arities) =
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  let
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    val algebra = Sign.classes_of thy;
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    val ars = Symtab.lookup_list arities t;
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    val super_class_completions =
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      Sign.super_classes thy c
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      |> filter_out (fn c1 => exists (fn ((c2, Ss2), _) =>
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            c1 = c2 andalso Sorts.sorts_le algebra (Ss2, Ss)) ars);
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    val names = Name.invent Name.context Name.aT (length Ss);
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    val std_vars = map (fn a => SOME (ctyp_of thy (TVar ((a, 0), [])))) names;
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    val completions = super_class_completions |> map (fn c1 =>
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      let
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        val th1 =
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          (th RS the_classrel thy (c, c1))
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          |> Drule.instantiate' std_vars []
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          |> Thm.close_derivation;
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      in ((th1, thy_name), c1) end);
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    val finished' = finished andalso null completions;
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    val arities' = fold (fn (th, c1) => Symtab.cons_list (t, ((c1, Ss), th))) completions arities;
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  in (finished', arities') end;
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fun put_arity_completion ((t, Ss, c), th) thy =
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  let val ar = ((c, Ss), (th, Context.theory_name thy)) in
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    thy
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    |> map_proven_arities
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      (Symtab.insert_list (eq_fst op =) (t, ar) #>
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       curry (insert_arity_completions thy t ar) true #> #2)
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  end;
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fun complete_arities thy =
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  let
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    val arities = proven_arities_of thy;
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    val (finished, arities') =
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      Symtab.fold (fn (t, ars) => fold (insert_arity_completions thy t) ars) arities (true, arities);
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  in
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    if finished then NONE
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    else SOME (map_proven_arities (K arities') thy)
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  end;
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val _ = Context.>> (Context.map_theory
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  (Theory.at_begin complete_classrels #>
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   Theory.at_begin complete_arities));
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val _ = Proofterm.install_axclass_proofs
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  {classrel_proof = Thm.proof_of oo the_classrel,
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   arity_proof = Thm.proof_of oo the_arity};
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(* maintain instance parameters *)
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fun get_inst_param thy (c, tyco) =
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  (case Symtab.lookup (the_default Symtab.empty (Symtab.lookup (#1 (inst_params_of thy)) c)) tyco of
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    SOME c' => c'
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  | NONE => error ("No instance parameter for constant " ^ quote c ^ " on type " ^ quote tyco));
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fun add_inst_param (c, tyco) inst =
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  (map_inst_params o apfst o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst))
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  #> (map_inst_params o apsnd) (Symtab.update_new (#1 inst, (c, tyco)));
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val inst_of_param = Symtab.lookup o #2 o inst_params_of;
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val param_of_inst = #1 oo get_inst_param;
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fun inst_thms thy =
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  Symtab.fold (Symtab.fold (cons o #2 o #2) o #2) (#1 (inst_params_of thy)) [];
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fun get_inst_tyco consts = try (#1 o dest_Type o the_single o Consts.typargs consts);
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fun unoverload thy = Raw_Simplifier.simplify true (inst_thms thy);
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fun overload thy = Raw_Simplifier.simplify true (map Thm.symmetric (inst_thms thy));
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fun unoverload_conv thy = Raw_Simplifier.rewrite true (inst_thms thy);
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fun overload_conv thy = Raw_Simplifier.rewrite true (map Thm.symmetric (inst_thms thy));
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fun lookup_inst_param consts params (c, T) =
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  (case get_inst_tyco consts (c, T) of
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    SOME tyco => AList.lookup (op =) params (c, tyco)
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  | NONE => NONE);
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fun unoverload_const thy (c_ty as (c, _)) =
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  if is_some (class_of_param thy c) then
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    (case get_inst_tyco (Sign.consts_of thy) c_ty of
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      SOME tyco => try (param_of_inst thy) (c, tyco) |> the_default c
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    | NONE => c)
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  else c;
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(** instances **)
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(* class relations *)
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   317
wenzelm@19405
   318
fun cert_classrel thy raw_rel =
wenzelm@15876
   319
  let
wenzelm@26939
   320
    val string_of_sort = Syntax.string_of_sort_global thy;
wenzelm@19405
   321
    val (c1, c2) = pairself (Sign.certify_class thy) raw_rel;
wenzelm@24271
   322
    val _ = Sign.primitive_classrel (c1, c2) (Theory.copy thy);
wenzelm@19405
   323
    val _ =
wenzelm@19460
   324
      (case subtract (op =) (all_params_of thy [c1]) (all_params_of thy [c2]) of
wenzelm@19405
   325
        [] => ()
wenzelm@26939
   326
      | xs => raise TYPE ("Class " ^ string_of_sort [c1] ^ " lacks parameter(s) " ^
wenzelm@26939
   327
          commas_quote xs ^ " of " ^ string_of_sort [c2], [], []));
wenzelm@19405
   328
  in (c1, c2) end;
wenzelm@19405
   329
wenzelm@19405
   330
fun read_classrel thy raw_rel =
wenzelm@42360
   331
  cert_classrel thy (pairself (Proof_Context.read_class (Proof_Context.init_global thy)) raw_rel)
wenzelm@19405
   332
    handle TYPE (msg, _, _) => error msg;
wenzelm@19405
   333
wenzelm@19405
   334
haftmann@25597
   335
(* declaration and definition of instances of overloaded constants *)
haftmann@25597
   336
wenzelm@35201
   337
fun inst_tyco_of thy (c, T) =
wenzelm@35201
   338
  (case get_inst_tyco (Sign.consts_of thy) (c, T) of
wenzelm@35201
   339
    SOME tyco => tyco
wenzelm@35201
   340
  | NONE => error ("Illegal type for instantiation of class parameter: " ^
wenzelm@35201
   341
      quote (c ^ " :: " ^ Syntax.string_of_typ_global thy T)));
haftmann@31249
   342
haftmann@25597
   343
fun declare_overloaded (c, T) thy =
haftmann@25597
   344
  let
wenzelm@35201
   345
    val class =
wenzelm@35201
   346
      (case class_of_param thy c of
wenzelm@35201
   347
        SOME class => class
wenzelm@35201
   348
      | NONE => error ("Not a class parameter: " ^ quote c));
haftmann@31249
   349
    val tyco = inst_tyco_of thy (c, T);
haftmann@25597
   350
    val name_inst = instance_name (tyco, class) ^ "_inst";
wenzelm@36417
   351
    val c' = instance_name (tyco, c);
haftmann@25597
   352
    val T' = Type.strip_sorts T;
haftmann@25597
   353
  in
haftmann@25597
   354
    thy
wenzelm@35201
   355
    |> Sign.qualified_path true (Binding.name name_inst)
wenzelm@42375
   356
    |> Sign.declare_const_global ((Binding.name c', T'), NoSyn)
wenzelm@30344
   357
    |-> (fn const' as Const (c'', _) =>
wenzelm@42375
   358
      Thm.add_def_global false true
wenzelm@30344
   359
        (Binding.name (Thm.def_name c'), Logic.mk_equals (Const (c, T'), const'))
wenzelm@36106
   360
      #>> apsnd Thm.varifyT_global
wenzelm@36106
   361
      #-> (fn (_, thm) => add_inst_param (c, tyco) (c'', thm)
wenzelm@39557
   362
        #> Global_Theory.add_thm ((Binding.conceal (Binding.name c'), thm), [])
wenzelm@36417
   363
        #> #2
wenzelm@36106
   364
        #> pair (Const (c, T))))
wenzelm@35201
   365
    ||> Sign.restore_naming thy
haftmann@25597
   366
  end;
haftmann@25597
   367
haftmann@30519
   368
fun define_overloaded b (c, t) thy =
haftmann@25597
   369
  let
haftmann@25597
   370
    val T = Term.fastype_of t;
haftmann@31249
   371
    val tyco = inst_tyco_of thy (c, T);
haftmann@25597
   372
    val (c', eq) = get_inst_param thy (c, tyco);
haftmann@25597
   373
    val prop = Logic.mk_equals (Const (c', T), t);
wenzelm@36417
   374
    val b' = Thm.def_binding_optional (Binding.name (instance_name (tyco, c))) b;
haftmann@25597
   375
  in
haftmann@25597
   376
    thy
wenzelm@42375
   377
    |> Thm.add_def_global false false (b', prop)
haftmann@38383
   378
    |>> (fn (_, thm) => Drule.transitive_thm OF [eq, thm])
haftmann@25597
   379
  end;
haftmann@25597
   380
haftmann@25597
   381
haftmann@30951
   382
(* primitive rules *)
haftmann@30951
   383
haftmann@37249
   384
fun add_classrel raw_th thy =
haftmann@30951
   385
  let
wenzelm@31948
   386
    val th = Thm.strip_shyps (Thm.transfer thy raw_th);
wenzelm@31948
   387
    val prop = Thm.plain_prop_of th;
haftmann@30951
   388
    fun err () = raise THM ("add_classrel: malformed class relation", 0, [th]);
haftmann@30951
   389
    val rel = Logic.dest_classrel prop handle TERM _ => err ();
haftmann@30951
   390
    val (c1, c2) = cert_classrel thy rel handle TYPE _ => err ();
wenzelm@39557
   391
    val (th', thy') = Global_Theory.store_thm
haftmann@37249
   392
      (Binding.name (prefix classrel_prefix (Logic.name_classrel (c1, c2))), th) thy;
berghofe@37232
   393
    val th'' = th'
krauss@36934
   394
      |> Thm.unconstrainT
berghofe@37232
   395
      |> Drule.instantiate' [SOME (ctyp_of thy' (TVar ((Name.aT, 0), [])))] [];
haftmann@30951
   396
  in
berghofe@37232
   397
    thy'
haftmann@30951
   398
    |> Sign.primitive_classrel (c1, c2)
wenzelm@50764
   399
    |> map_proven_classrels (Symreltab.update ((c1, c2), th''))
wenzelm@50764
   400
    |> perhaps complete_classrels
haftmann@30951
   401
    |> perhaps complete_arities
haftmann@30951
   402
  end;
haftmann@30951
   403
haftmann@37249
   404
fun add_arity raw_th thy =
haftmann@30951
   405
  let
wenzelm@31948
   406
    val th = Thm.strip_shyps (Thm.transfer thy raw_th);
wenzelm@31948
   407
    val prop = Thm.plain_prop_of th;
haftmann@30951
   408
    fun err () = raise THM ("add_arity: malformed type arity", 0, [th]);
berghofe@37232
   409
    val arity as (t, Ss, c) = Logic.dest_arity prop handle TERM _ => err ();
berghofe@37232
   410
wenzelm@39557
   411
    val (th', thy') = Global_Theory.store_thm
haftmann@37249
   412
      (Binding.name (prefix arity_prefix (Logic.name_arity arity)), th) thy;
wenzelm@36417
   413
wenzelm@43329
   414
    val args = Name.invent_names Name.context Name.aT Ss;
wenzelm@36417
   415
    val T = Type (t, map TFree args);
berghofe@37232
   416
    val std_vars = map (fn (a, S) => SOME (ctyp_of thy' (TVar ((a, 0), [])))) args;
wenzelm@36417
   417
berghofe@37232
   418
    val missing_params = Sign.complete_sort thy' [c]
berghofe@37232
   419
      |> maps (these o Option.map #params o try (get_info thy'))
berghofe@37232
   420
      |> filter_out (fn (const, _) => can (get_inst_param thy') (const, t))
haftmann@30951
   421
      |> (map o apsnd o map_atyps) (K T);
berghofe@37232
   422
    val th'' = th'
krauss@36934
   423
      |> Thm.unconstrainT
krauss@36934
   424
      |> Drule.instantiate' std_vars [];
haftmann@30951
   425
  in
berghofe@37232
   426
    thy'
wenzelm@36417
   427
    |> fold (#2 oo declare_overloaded) missing_params
haftmann@30951
   428
    |> Sign.primitive_arity (t, Ss, [c])
wenzelm@50764
   429
    |> put_arity_completion ((t, Ss, c), th'')
haftmann@30951
   430
  end;
haftmann@30951
   431
haftmann@30951
   432
haftmann@30951
   433
(* tactical proofs *)
haftmann@30951
   434
haftmann@30951
   435
fun prove_classrel raw_rel tac thy =
haftmann@30951
   436
  let
wenzelm@42360
   437
    val ctxt = Proof_Context.init_global thy;
haftmann@30951
   438
    val (c1, c2) = cert_classrel thy raw_rel;
haftmann@30951
   439
    val th = Goal.prove ctxt [] [] (Logic.mk_classrel (c1, c2)) (K tac) handle ERROR msg =>
haftmann@30951
   440
      cat_error msg ("The error(s) above occurred while trying to prove class relation " ^
haftmann@30951
   441
        quote (Syntax.string_of_classrel ctxt [c1, c2]));
haftmann@30951
   442
  in
haftmann@37249
   443
    thy |> add_classrel th
haftmann@30951
   444
  end;
haftmann@30951
   445
haftmann@30951
   446
fun prove_arity raw_arity tac thy =
haftmann@30951
   447
  let
wenzelm@42360
   448
    val ctxt = Proof_Context.init_global thy;
wenzelm@42360
   449
    val arity = Proof_Context.cert_arity ctxt raw_arity;
haftmann@30951
   450
    val names = map (prefix arity_prefix) (Logic.name_arities arity);
haftmann@30951
   451
    val props = Logic.mk_arities arity;
haftmann@30951
   452
    val ths = Goal.prove_multi ctxt [] [] props
haftmann@30951
   453
      (fn _ => Goal.precise_conjunction_tac (length props) 1 THEN tac) handle ERROR msg =>
haftmann@30951
   454
        cat_error msg ("The error(s) above occurred while trying to prove type arity " ^
haftmann@30951
   455
          quote (Syntax.string_of_arity ctxt arity));
haftmann@30951
   456
  in
haftmann@37249
   457
    thy |> fold add_arity ths
haftmann@30951
   458
  end;
haftmann@30951
   459
haftmann@30951
   460
wenzelm@19511
   461
wenzelm@19511
   462
(** class definitions **)
wenzelm@19511
   463
wenzelm@23421
   464
fun split_defined n eq =
wenzelm@23421
   465
  let
wenzelm@23421
   466
    val intro =
wenzelm@23421
   467
      (eq RS Drule.equal_elim_rule2)
wenzelm@23421
   468
      |> Conjunction.curry_balanced n
wenzelm@23421
   469
      |> n = 0 ? Thm.eq_assumption 1;
wenzelm@23421
   470
    val dests =
wenzelm@23421
   471
      if n = 0 then []
wenzelm@23421
   472
      else
wenzelm@23421
   473
        (eq RS Drule.equal_elim_rule1)
wenzelm@32765
   474
        |> Balanced_Tree.dest (fn th =>
wenzelm@23421
   475
          (th RS Conjunction.conjunctionD1, th RS Conjunction.conjunctionD2)) n;
wenzelm@23421
   476
  in (intro, dests) end;
wenzelm@23421
   477
wenzelm@24964
   478
fun define_class (bclass, raw_super) raw_params raw_specs thy =
wenzelm@19511
   479
  let
wenzelm@39133
   480
    val ctxt = Syntax.init_pretty_global thy;
wenzelm@19511
   481
wenzelm@19511
   482
wenzelm@24964
   483
    (* class *)
wenzelm@19511
   484
wenzelm@30344
   485
    val bconst = Binding.map_name Logic.const_of_class bclass;
wenzelm@30344
   486
    val class = Sign.full_name thy bclass;
wenzelm@24731
   487
    val super = Sign.minimize_sort thy (Sign.certify_sort thy raw_super);
wenzelm@19511
   488
wenzelm@24964
   489
    fun check_constraint (a, S) =
wenzelm@24964
   490
      if Sign.subsort thy (super, S) then ()
wenzelm@24964
   491
      else error ("Sort constraint of type variable " ^
wenzelm@39134
   492
        Syntax.string_of_typ (Config.put show_sorts true ctxt) (TFree (a, S)) ^
wenzelm@39133
   493
        " needs to be weaker than " ^ Syntax.string_of_sort ctxt super);
wenzelm@24964
   494
wenzelm@24964
   495
wenzelm@24964
   496
    (* params *)
wenzelm@24964
   497
wenzelm@24964
   498
    val params = raw_params |> map (fn p =>
wenzelm@24964
   499
      let
wenzelm@24964
   500
        val T = Sign.the_const_type thy p;
wenzelm@24964
   501
        val _ =
wenzelm@24964
   502
          (case Term.add_tvarsT T [] of
wenzelm@24964
   503
            [((a, _), S)] => check_constraint (a, S)
wenzelm@24964
   504
          | _ => error ("Exactly one type variable expected in class parameter " ^ quote p));
wenzelm@24964
   505
        val T' = Term.map_type_tvar (fn _ => TFree (Name.aT, [class])) T;
wenzelm@24964
   506
      in (p, T') end);
wenzelm@24964
   507
wenzelm@24964
   508
wenzelm@24964
   509
    (* axioms *)
wenzelm@24964
   510
wenzelm@19511
   511
    fun prep_axiom t =
wenzelm@19511
   512
      (case Term.add_tfrees t [] of
wenzelm@24964
   513
        [(a, S)] => check_constraint (a, S)
wenzelm@24964
   514
      | [] => ()
wenzelm@39133
   515
      | _ => error ("Multiple type variables in class axiom:\n" ^ Syntax.string_of_term ctxt t);
wenzelm@24964
   516
      t
wenzelm@24964
   517
      |> Term.map_types (Term.map_atyps (fn TFree _ => Term.aT [] | U => U))
wenzelm@24964
   518
      |> Logic.close_form);
wenzelm@19511
   519
wenzelm@24681
   520
    val axiomss = map (map (prep_axiom o Sign.cert_prop thy) o snd) raw_specs;
haftmann@22745
   521
    val name_atts = map fst raw_specs;
wenzelm@19511
   522
wenzelm@19511
   523
wenzelm@19511
   524
    (* definition *)
wenzelm@19511
   525
wenzelm@35854
   526
    val conjs = Logic.mk_of_sort (Term.aT [], super) @ flat axiomss;
wenzelm@19511
   527
    val class_eq =
wenzelm@31943
   528
      Logic.mk_equals (Logic.mk_of_class (Term.aT [], class), Logic.mk_conjunction_balanced conjs);
wenzelm@19511
   529
wenzelm@19511
   530
    val ([def], def_thy) =
wenzelm@19511
   531
      thy
wenzelm@19511
   532
      |> Sign.primitive_class (bclass, super)
wenzelm@39557
   533
      |> Global_Theory.add_defs false [((Thm.def_binding bconst, class_eq), [])];
wenzelm@19511
   534
    val (raw_intro, (raw_classrel, raw_axioms)) =
wenzelm@23421
   535
      split_defined (length conjs) def ||> chop (length super);
wenzelm@19392
   536
wenzelm@19418
   537
wenzelm@19511
   538
    (* facts *)
wenzelm@19511
   539
wenzelm@19511
   540
    val class_triv = Thm.class_triv def_thy class;
wenzelm@19511
   541
    val ([(_, [intro]), (_, classrel), (_, axioms)], facts_thy) =
wenzelm@19511
   542
      def_thy
wenzelm@35201
   543
      |> Sign.qualified_path true bconst
wenzelm@39557
   544
      |> Global_Theory.note_thmss ""
wenzelm@36326
   545
        [((Binding.name "intro", []), [([Drule.export_without_context raw_intro], [])]),
wenzelm@36326
   546
         ((Binding.name "super", []), [(map Drule.export_without_context raw_classrel, [])]),
wenzelm@36326
   547
         ((Binding.name "axioms", []),
wenzelm@35021
   548
           [(map (fn th => Drule.export_without_context (class_triv RS th)) raw_axioms, [])])]
haftmann@27691
   549
      ||> Sign.restore_naming def_thy;
wenzelm@19511
   550
wenzelm@24847
   551
wenzelm@19511
   552
    (* result *)
wenzelm@19511
   553
wenzelm@36329
   554
    val axclass = make_axclass (def, intro, axioms, params);
wenzelm@19511
   555
    val result_thy =
wenzelm@19511
   556
      facts_thy
wenzelm@50764
   557
      |> map_proven_classrels
wenzelm@50764
   558
          (fold2 (fn c => fn th => Symreltab.update ((class, c), th)) super classrel)
wenzelm@50764
   559
      |> perhaps complete_classrels
wenzelm@35201
   560
      |> Sign.qualified_path false bconst
wenzelm@39557
   561
      |> Global_Theory.note_thmss "" (name_atts ~~ map Thm.simple_fact (unflat axiomss axioms))
wenzelm@39557
   562
      |> #2
wenzelm@19511
   563
      |> Sign.restore_naming facts_thy
wenzelm@36329
   564
      |> map_axclasses (Symtab.update (class, axclass))
wenzelm@42389
   565
      |> map_params (fold (fn (x, _) => add_param ctxt (x, class)) params);
wenzelm@19511
   566
wenzelm@19511
   567
  in (class, result_thy) end;
wenzelm@19511
   568
wenzelm@19511
   569
wenzelm@19531
   570
wenzelm@19511
   571
(** axiomatizations **)
wenzelm@19511
   572
wenzelm@19511
   573
local
wenzelm@19511
   574
wenzelm@36417
   575
(*old-style axioms*)
wenzelm@20628
   576
fun axiomatize prep mk name add raw_args thy =
wenzelm@20628
   577
  let
wenzelm@20628
   578
    val args = prep thy raw_args;
wenzelm@20628
   579
    val specs = mk args;
wenzelm@20628
   580
    val names = name args;
haftmann@29579
   581
  in
haftmann@29579
   582
    thy
wenzelm@42375
   583
    |> fold_map Thm.add_axiom_global (map Binding.name names ~~ specs)
haftmann@37249
   584
    |-> fold (add o Drule.export_without_context o snd)
haftmann@29579
   585
  end;
wenzelm@19511
   586
wenzelm@19511
   587
fun ax_classrel prep =
wenzelm@20628
   588
  axiomatize (map o prep) (map Logic.mk_classrel)
haftmann@37249
   589
    (map (prefix classrel_prefix o Logic.name_classrel)) add_classrel;
wenzelm@19511
   590
wenzelm@19511
   591
fun ax_arity prep =
wenzelm@42360
   592
  axiomatize (prep o Proof_Context.init_global) Logic.mk_arities
haftmann@37249
   593
    (map (prefix arity_prefix) o Logic.name_arities) add_arity;
wenzelm@19511
   594
wenzelm@19706
   595
fun class_const c =
wenzelm@19706
   596
  (Logic.const_of_class c, Term.itselfT (Term.aT []) --> propT);
wenzelm@19706
   597
wenzelm@19511
   598
fun ax_class prep_class prep_classrel (bclass, raw_super) thy =
wenzelm@19511
   599
  let
wenzelm@30344
   600
    val class = Sign.full_name thy bclass;
wenzelm@24731
   601
    val super = map (prep_class thy) raw_super |> Sign.minimize_sort thy;
wenzelm@19511
   602
  in
wenzelm@19511
   603
    thy
wenzelm@19511
   604
    |> Sign.primitive_class (bclass, super)
wenzelm@19511
   605
    |> ax_classrel prep_classrel (map (fn c => (class, c)) super)
wenzelm@42375
   606
    |> Theory.add_deps_global "" (class_const class) (map class_const super)
wenzelm@19511
   607
  end;
wenzelm@19511
   608
wenzelm@19511
   609
in
wenzelm@19511
   610
wenzelm@24929
   611
val axiomatize_class = ax_class Sign.certify_class cert_classrel;
wenzelm@42375
   612
val axiomatize_class_cmd =
wenzelm@42375
   613
  ax_class (Proof_Context.read_class o Proof_Context.init_global) read_classrel;
wenzelm@24929
   614
val axiomatize_classrel = ax_classrel cert_classrel;
wenzelm@24929
   615
val axiomatize_classrel_cmd = ax_classrel read_classrel;
wenzelm@42360
   616
val axiomatize_arity = ax_arity Proof_Context.cert_arity;
wenzelm@42360
   617
val axiomatize_arity_cmd = ax_arity Proof_Context.read_arity;
wenzelm@19511
   618
wenzelm@19511
   619
end;
wenzelm@19511
   620
wenzelm@19511
   621
end;