haftmann@24218: (*  Title:      Pure/Isar/class.ML
haftmann@24218:     ID:         $Id$
haftmann@24218:     Author:     Florian Haftmann, TU Muenchen
haftmann@24218: 
haftmann@24218: Type classes derived from primitive axclasses and locales.
haftmann@24218: *)
haftmann@24218: 
haftmann@24218: signature CLASS =
haftmann@24218: sig
haftmann@24218:   val fork_mixfix: bool -> string option -> mixfix -> mixfix * mixfix
haftmann@24218: 
haftmann@24218:   val axclass_cmd: bstring * xstring list
haftmann@24589:     -> ((bstring * Attrib.src list) * string list) list
haftmann@24589:     -> theory -> class * theory
haftmann@24589:   val classrel_cmd: xstring * xstring -> theory -> Proof.state
haftmann@24218:   val class: bstring -> class list -> Element.context_i Locale.element list
haftmann@24218:     -> string list -> theory -> string * Proof.context
haftmann@24589:   val class_cmd: bstring -> xstring list -> Element.context Locale.element list
haftmann@24589:     -> xstring list -> theory -> string * Proof.context
haftmann@24423:   val add_const_in_class: string -> (string * term) * Syntax.mixfix
haftmann@24423:     -> theory -> theory
haftmann@24589:   val interpretation_in_class: class * class -> theory -> Proof.state
haftmann@24589:   val interpretation_in_class_cmd: xstring * xstring -> theory -> Proof.state
haftmann@24589:   val prove_interpretation_in_class: tactic -> class * class -> theory -> theory
haftmann@24589:   val intro_classes_tac: thm list -> tactic
haftmann@24589:   val default_intro_classes_tac: thm list -> tactic
haftmann@24589:   val class_of_locale: theory -> string -> class option
haftmann@24589:   val print_classes: theory -> unit
haftmann@24423: 
haftmann@24589:   val instance_arity: (theory -> theory) -> arity list -> theory -> Proof.state
haftmann@24589:   val instance: arity list -> ((bstring * Attrib.src list) * term) list
haftmann@24423:     -> (thm list -> theory -> theory)
haftmann@24218:     -> theory -> Proof.state
haftmann@24589:   val instance_cmd: (bstring * xstring list * xstring) list
haftmann@24589:     -> ((bstring * Attrib.src list) * xstring) list
haftmann@24423:     -> (thm list -> theory -> theory)
haftmann@24218:     -> theory -> Proof.state
haftmann@24589:   val prove_instance: tactic -> arity list
haftmann@24218:     -> ((bstring * Attrib.src list) * term) list
haftmann@24423:     -> theory -> thm list * theory
haftmann@24423:   val unoverload: theory -> conv
haftmann@24423:   val overload: theory -> conv
haftmann@24423:   val unoverload_const: theory -> string * typ -> string
haftmann@24423:   val inst_const: theory -> string * string -> string
haftmann@24423:   val param_const: theory -> string -> (string * string) option
haftmann@24435:   val params_of_sort: theory -> sort -> (string * (string * typ)) list
haftmann@24657: 
haftmann@24657:   (*experimental*)
haftmann@24657:   val init_ref: (class -> Proof.context -> (theory -> theory) * Proof.context) ref
haftmann@24657:   val init: class -> Proof.context -> (theory -> theory) * Proof.context;
haftmann@24657:   val init_default: class -> Proof.context -> (theory -> theory) * Proof.context;
haftmann@24657:   val remove_constraints: class -> theory -> (string * typ) list * theory
haftmann@24657:   val class_term_check: theory -> class -> term list -> Proof.context -> term list * Proof.context
haftmann@24657:   val local_param: theory -> class -> string -> (term * (class * int)) option
haftmann@24218: end;
haftmann@24218: 
haftmann@24218: structure Class : CLASS =
haftmann@24218: struct
haftmann@24218: 
haftmann@24218: (** auxiliary **)
haftmann@24218: 
haftmann@24218: fun fork_mixfix is_loc some_class mx =
haftmann@24218:   let
haftmann@24218:     val mx' = Syntax.unlocalize_mixfix mx;
haftmann@24218:     val mx_global = if is_some some_class orelse (is_loc andalso mx = mx')
haftmann@24218:       then NoSyn else mx';
haftmann@24218:     val mx_local = if is_loc then mx else NoSyn;
haftmann@24218:   in (mx_global, mx_local) end;
haftmann@24218: 
haftmann@24589: fun prove_interpretation tac prfx_atts expr insts =
haftmann@24589:   Locale.interpretation_i I prfx_atts expr insts
haftmann@24589:   #> Proof.global_terminal_proof
haftmann@24589:       (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
haftmann@24589:   #> ProofContext.theory_of;
haftmann@24589: 
haftmann@24589: fun prove_interpretation_in tac after_qed (name, expr) =
haftmann@24589:   Locale.interpretation_in_locale
haftmann@24589:       (ProofContext.theory after_qed) (name, expr)
haftmann@24589:   #> Proof.global_terminal_proof
haftmann@24589:       (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
haftmann@24589:   #> ProofContext.theory_of;
haftmann@24589: 
haftmann@24589: fun OF_LAST thm1 thm2 =
haftmann@24589:   let
haftmann@24589:     val n = (length o Logic.strip_imp_prems o prop_of) thm2;
haftmann@24589:   in (thm1 RSN (n, thm2)) end;
haftmann@24589: 
haftmann@24589: fun strip_all_ofclass thy sort =
haftmann@24589:   let
haftmann@24589:     val typ = TVar ((AxClass.param_tyvarname, 0), sort);
haftmann@24589:     fun prem_inclass t =
haftmann@24589:       case Logic.strip_imp_prems t
haftmann@24589:        of ofcls :: _ => try Logic.dest_inclass ofcls
haftmann@24589:         | [] => NONE;
haftmann@24589:     fun strip_ofclass class thm =
haftmann@24589:       thm OF (fst o AxClass.of_sort thy (typ, [class])) AxClass.cache;
haftmann@24589:     fun strip thm = case (prem_inclass o Thm.prop_of) thm
haftmann@24589:      of SOME (_, class) => thm |> strip_ofclass class |> strip
haftmann@24589:       | NONE => thm;
haftmann@24589:   in strip end;
haftmann@24589: 
haftmann@24657: fun get_remove_contraint c thy =
haftmann@24657:   let
haftmann@24657:     val ty = Sign.the_const_constraint thy c;
haftmann@24657:   in
haftmann@24657:     thy
haftmann@24657:     |> Sign.add_const_constraint_i (c, NONE)
haftmann@24657:     |> pair (c, Logic.unvarifyT ty)
haftmann@24657:   end;
haftmann@24657: 
haftmann@24589: 
haftmann@24589: (** axclass command **)
haftmann@24589: 
haftmann@24218: fun axclass_cmd (class, raw_superclasses) raw_specs thy =
haftmann@24218:   let
haftmann@24218:     val ctxt = ProofContext.init thy;
haftmann@24218:     val superclasses = map (Sign.read_class thy) raw_superclasses;
haftmann@24589:     val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst)
haftmann@24589:       raw_specs;
haftmann@24589:     val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd)
haftmann@24589:           raw_specs)
haftmann@24218:       |> snd
haftmann@24218:       |> (map o map) fst;
haftmann@24589:   in
haftmann@24589:     AxClass.define_class (class, superclasses) []
haftmann@24589:       (name_atts ~~ axiomss) thy
haftmann@24589:   end;
haftmann@24218: 
haftmann@24218: local
haftmann@24218: 
haftmann@24218: fun gen_instance mk_prop add_thm after_qed insts thy =
haftmann@24218:   let
haftmann@24218:     fun after_qed' results =
haftmann@24218:       ProofContext.theory ((fold o fold) add_thm results #> after_qed);
haftmann@24218:   in
haftmann@24218:     thy
haftmann@24218:     |> ProofContext.init
haftmann@24589:     |> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])])
haftmann@24589:         o maps (mk_prop thy)) insts)
haftmann@24218:   end;
haftmann@24218: 
haftmann@24218: in
haftmann@24218: 
haftmann@24589: val instance_arity =
haftmann@24218:   gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity;
haftmann@24589: val classrel =
haftmann@24218:   gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel))
haftmann@24218:     AxClass.add_classrel I o single;
haftmann@24589: val classrel_cmd =
haftmann@24589:   gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel))
haftmann@24589:     AxClass.add_classrel I o single;
haftmann@24218: 
haftmann@24218: end; (*local*)
haftmann@24218: 
haftmann@24218: 
haftmann@24589: (** explicit constants for overloaded definitions **)
haftmann@24304: 
haftmann@24304: structure InstData = TheoryDataFun
haftmann@24304: (
haftmann@24423:   type T = (string * thm) Symtab.table Symtab.table * (string * string) Symtab.table;
haftmann@24423:     (*constant name ~> type constructor ~> (constant name, equation),
haftmann@24423:         constant name ~> (constant name, type constructor)*)
haftmann@24423:   val empty = (Symtab.empty, Symtab.empty);
haftmann@24304:   val copy = I;
haftmann@24304:   val extend = I;
haftmann@24423:   fun merge _ ((taba1, tabb1), (taba2, tabb2)) =
haftmann@24423:     (Symtab.join (K (Symtab.merge (K true))) (taba1, taba2),
haftmann@24423:       Symtab.merge (K true) (tabb1, tabb2));
haftmann@24304: );
haftmann@24304: 
haftmann@24589: fun inst_thms f thy = (Symtab.fold (Symtab.fold (cons o f o snd o snd) o snd) o fst)
haftmann@24589:     (InstData.get thy) [];
haftmann@24589: fun add_inst (c, tyco) inst = (InstData.map o apfst
haftmann@24589:       o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst))
haftmann@24423:   #> (InstData.map o apsnd) (Symtab.update_new (fst inst, (c, tyco)));
haftmann@24304: 
haftmann@24589: fun unoverload thy = MetaSimplifier.rewrite false (inst_thms I thy);
haftmann@24589: fun overload thy = MetaSimplifier.rewrite false (inst_thms symmetric thy);
haftmann@24304: 
haftmann@24304: fun inst_const thy (c, tyco) =
haftmann@24423:   (fst o the o Symtab.lookup ((the o Symtab.lookup (fst (InstData.get thy))) c)) tyco;
haftmann@24423: fun unoverload_const thy (c_ty as (c, _)) =
haftmann@24423:   case AxClass.class_of_param thy c
haftmann@24423:    of SOME class => (case Sign.const_typargs thy c_ty
haftmann@24589:        of [Type (tyco, _)] => (case Symtab.lookup
haftmann@24589:            ((the o Symtab.lookup (fst (InstData.get thy))) c) tyco
haftmann@24423:              of SOME (c, _) => c
haftmann@24423:               | NONE => c)
haftmann@24423:         | [_] => c)
haftmann@24423:     | NONE => c;
haftmann@24423: 
haftmann@24423: val param_const = Symtab.lookup o snd o InstData.get;
haftmann@24304: 
haftmann@24304: fun add_inst_def (class, tyco) (c, ty) thy =
haftmann@24304:   let
haftmann@24304:     val tyco_base = NameSpace.base tyco;
haftmann@24304:     val name_inst = NameSpace.base class ^ "_" ^ tyco_base ^ "_inst";
haftmann@24304:     val c_inst_base = NameSpace.base c ^ "_" ^ tyco_base;
haftmann@24304:   in
haftmann@24304:     thy
haftmann@24304:     |> Sign.sticky_prefix name_inst
haftmann@24435:     |> PureThy.simple_def ("", [])
haftmann@24435:          (((c_inst_base, ty, Syntax.NoSyn), []), Const (c, ty))
haftmann@24435:     |-> (fn (c_inst, thm) => add_inst (c, tyco) (c_inst, symmetric thm))
haftmann@24435:     |> Sign.restore_naming thy
haftmann@24304:   end;
haftmann@24304: 
haftmann@24304: fun add_inst_def' (class, tyco) (c, ty) thy =
haftmann@24423:   if case Symtab.lookup (fst (InstData.get thy)) c
haftmann@24304:    of NONE => true
haftmann@24304:     | SOME tab => is_none (Symtab.lookup tab tyco)
haftmann@24304:   then add_inst_def (class, tyco) (c, Logic.unvarifyT ty) thy
haftmann@24304:   else thy;
haftmann@24304: 
haftmann@24304: fun add_def ((class, tyco), ((name, prop), atts)) thy =
haftmann@24304:   let
haftmann@24589:     val ((lhs as Const (c, ty), args), rhs) =
haftmann@24589:       (apfst Term.strip_comb o Logic.dest_equals) prop;
haftmann@24701:     fun (*add_inst' def ([], (Const (c_inst, ty))) =
haftmann@24423:           if forall (fn TFree _ => true | _ => false) (Sign.const_typargs thy (c_inst, ty))
haftmann@24304:           then add_inst (c, tyco) (c_inst, def)
haftmann@24304:           else add_inst_def (class, tyco) (c, ty)
haftmann@24701:       |*) add_inst' _ t = add_inst_def (class, tyco) (c, ty);
haftmann@24304:   in
haftmann@24304:     thy
haftmann@24304:     |> PureThy.add_defs_i true [((name, prop), map (Attrib.attribute thy) atts)]
haftmann@24304:     |-> (fn [def] => add_inst' def (args, rhs) #> pair def)
haftmann@24304:   end;
haftmann@24304: 
haftmann@24304: 
haftmann@24589: (** instances with implicit parameter handling **)
haftmann@24218: 
haftmann@24218: local
haftmann@24218: 
wenzelm@24707: fun gen_read_def thy prep_att parse_prop ((raw_name, raw_atts), raw_t) =
haftmann@24218:   let
wenzelm@24707:     val ctxt = ProofContext.init thy;
wenzelm@24707:     val t = parse_prop ctxt raw_t |> Syntax.check_prop ctxt;
haftmann@24218:     val ((c, ty), _) = Sign.cert_def (Sign.pp thy) t;
haftmann@24218:     val atts = map (prep_att thy) raw_atts;
haftmann@24218:     val insts = Consts.typargs (Sign.consts_of thy) (c, ty);
haftmann@24218:     val name = case raw_name
haftmann@24218:      of "" => NONE
haftmann@24218:       | _ => SOME raw_name;
haftmann@24218:   in (c, (insts, ((name, t), atts))) end;
haftmann@24218: 
wenzelm@24707: fun read_def_cmd thy = gen_read_def thy Attrib.intern_src Syntax.parse_prop;
haftmann@24218: fun read_def thy = gen_read_def thy (K I) (K I);
haftmann@24218: 
haftmann@24589: fun gen_instance prep_arity read_def do_proof raw_arities raw_defs after_qed theory =
haftmann@24218:   let
haftmann@24218:     val arities = map (prep_arity theory) raw_arities;
haftmann@24218:     val _ = if null arities then error "at least one arity must be given" else ();
haftmann@24218:     val _ = case (duplicates (op =) o map #1) arities
haftmann@24218:      of [] => ()
haftmann@24218:       | dupl_tycos => error ("type constructors occur more than once in arities: "
haftmann@24218:           ^ (commas o map quote) dupl_tycos);
haftmann@24218:     fun get_consts_class tyco ty class =
haftmann@24218:       let
haftmann@24218:         val cs = (these o Option.map snd o try (AxClass.params_of_class theory)) class;
haftmann@24218:         val subst_ty = map_type_tfree (K ty);
haftmann@24218:       in
haftmann@24304:         map (fn (c, ty) => (c, ((class, tyco), subst_ty ty))) cs
haftmann@24218:       end;
haftmann@24218:     fun get_consts_sort (tyco, asorts, sort) =
haftmann@24218:       let
haftmann@24589:         val ty = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort))
haftmann@24589:           (Name.names Name.context "'a" asorts))
wenzelm@24731:       in maps (get_consts_class tyco ty) (Sign.complete_sort theory sort) end;
haftmann@24218:     val cs = maps get_consts_sort arities;
haftmann@24218:     fun mk_typnorm thy (ty, ty_sc) =
haftmann@24218:       case try (Sign.typ_match thy (Logic.varifyT ty_sc, ty)) Vartab.empty
haftmann@24218:        of SOME env => SOME (Logic.varifyT #> Envir.typ_subst_TVars env #> Logic.unvarifyT)
haftmann@24218:         | NONE => NONE;
haftmann@24218:     fun read_defs defs cs thy_read =
haftmann@24218:       let
haftmann@24218:         fun read raw_def cs =
haftmann@24218:           let
haftmann@24218:             val (c, (inst, ((name_opt, t), atts))) = read_def thy_read raw_def;
haftmann@24218:             val ty = Consts.instance (Sign.consts_of thy_read) (c, inst);
haftmann@24304:             val ((class, tyco), ty') = case AList.lookup (op =) cs c
haftmann@24218:              of NONE => error ("illegal definition for constant " ^ quote c)
haftmann@24218:               | SOME class_ty => class_ty;
haftmann@24218:             val name = case name_opt
haftmann@24218:              of NONE => Thm.def_name (Logic.name_arity (tyco, [], c))
haftmann@24218:               | SOME name => name;
haftmann@24218:             val t' = case mk_typnorm thy_read (ty', ty)
haftmann@24218:              of NONE => error ("illegal definition for constant " ^
haftmann@24218:                   quote (c ^ "::" ^ setmp show_sorts true
haftmann@24218:                     (Sign.string_of_typ thy_read) ty))
haftmann@24218:               | SOME norm => map_types norm t
haftmann@24218:           in (((class, tyco), ((name, t'), atts)), AList.delete (op =) c cs) end;
haftmann@24218:       in fold_map read defs cs end;
haftmann@24304:     val (defs, other_cs) = read_defs raw_defs cs
haftmann@24218:       (fold Sign.primitive_arity arities (Theory.copy theory));
haftmann@24423:     fun after_qed' cs defs =
haftmann@24304:       fold Sign.add_const_constraint_i (map (apsnd SOME) cs)
haftmann@24423:       #> after_qed defs;
haftmann@24218:   in
haftmann@24218:     theory
haftmann@24218:     |> fold_map get_remove_contraint (map fst cs |> distinct (op =))
haftmann@24304:     ||>> fold_map add_def defs
haftmann@24304:     ||> fold (fn (c, ((class, tyco), ty)) => add_inst_def' (class, tyco) (c, ty)) other_cs
haftmann@24423:     |-> (fn (cs, defs) => do_proof (after_qed' cs defs) arities defs)
haftmann@24218:   end;
haftmann@24218: 
haftmann@24423: fun tactic_proof tac f arities defs =
haftmann@24218:   fold (fn arity => AxClass.prove_arity arity tac) arities
haftmann@24423:   #> f
haftmann@24423:   #> pair defs;
haftmann@24218: 
haftmann@24218: in
haftmann@24218: 
haftmann@24589: val instance = gen_instance Sign.cert_arity read_def
haftmann@24589:   (fn f => fn arities => fn defs => instance_arity f arities);
haftmann@24589: val instance_cmd = gen_instance Sign.read_arity read_def_cmd
haftmann@24589:   (fn f => fn arities => fn defs => instance_arity f arities);
haftmann@24589: fun prove_instance tac arities defs =
haftmann@24589:   gen_instance Sign.cert_arity read_def
haftmann@24589:     (tactic_proof tac) arities defs (K I);
haftmann@24218: 
haftmann@24218: end; (*local*)
haftmann@24218: 
haftmann@24218: 
haftmann@24218: 
haftmann@24589: (** class data **)
haftmann@24218: 
haftmann@24218: datatype class_data = ClassData of {
haftmann@24218:   locale: string,
haftmann@24218:   consts: (string * string) list
haftmann@24657:     (*locale parameter ~> theory constant name*),
haftmann@24657:   v: string,
haftmann@24589:   inst: typ Symtab.table * term Symtab.table
haftmann@24589:     (*canonical interpretation*),
haftmann@24657:   intro: thm,
haftmann@24657:   defs: thm list,
haftmann@24657:   localized: (string * (term * (class * int))) list
haftmann@24657:     (*theory constant name ~> (locale parameter, (class, instantiaton index of class typ))*)
haftmann@24657: };
haftmann@24218: 
haftmann@24657: fun rep_class_data (ClassData d) = d;
haftmann@24657: fun mk_class_data ((locale, consts, v, inst, intro), (defs, localized)) =
haftmann@24657:   ClassData { locale = locale, consts = consts, v = v, inst = inst, intro = intro,
haftmann@24657:     defs = defs, localized = localized };
haftmann@24657: fun map_class_data f (ClassData { locale, consts, v, inst, intro, defs, localized }) =
haftmann@24657:   mk_class_data (f ((locale, consts, v, inst, intro), (defs, localized)))
haftmann@24657: fun merge_class_data _ (ClassData { locale = locale, consts = consts, v = v, inst = inst,
haftmann@24657:     intro = intro, defs = defs1, localized = localized1 },
haftmann@24657:   ClassData { locale = _, consts = _, v = _, inst = _, intro = _,
haftmann@24657:     defs = defs2, localized = localized2 }) =
haftmann@24657:   mk_class_data ((locale, consts, v, inst, intro),
haftmann@24657:     (Thm.merge_thms (defs1, defs2), AList.merge (op =) (K true) (localized1, localized2)));
haftmann@24218: 
haftmann@24218: fun merge_pair f1 f2 ((x1, y1), (x2, y2)) = (f1 (x1, x2), f2 (y1, y2));
haftmann@24218: 
haftmann@24218: structure ClassData = TheoryDataFun
haftmann@24218: (
haftmann@24657:   type T = class_data Graph.T * class Symtab.table
haftmann@24657:     (*locale name ~> class name*);
haftmann@24218:   val empty = (Graph.empty, Symtab.empty);
haftmann@24218:   val copy = I;
haftmann@24218:   val extend = I;
haftmann@24657:   fun merge _ = merge_pair (Graph.join merge_class_data) (Symtab.merge (K true));
haftmann@24218: );
haftmann@24218: 
haftmann@24218: 
haftmann@24218: (* queries *)
haftmann@24218: 
haftmann@24657: val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node
haftmann@24589:   o fst o ClassData.get;
haftmann@24218: fun class_of_locale thy = Symtab.lookup ((snd o ClassData.get) thy);
haftmann@24218: 
haftmann@24589: fun the_class_data thy class = case lookup_class_data thy class
haftmann@24589:  of NONE => error ("undeclared class " ^ quote class)
haftmann@24589:   | SOME data => data;
haftmann@24218: 
haftmann@24218: val ancestry = Graph.all_succs o fst o ClassData.get;
haftmann@24218: 
haftmann@24435: fun params_of_sort thy =
haftmann@24218:   let
haftmann@24218:     fun params class =
haftmann@24218:       let
haftmann@24218:         val const_typs = (#params o AxClass.get_definition thy) class;
haftmann@24657:         val const_names = (#consts o the_class_data thy) class;
haftmann@24218:       in
haftmann@24218:         (map o apsnd) (fn c => (c, (the o AList.lookup (op =) const_typs) c)) const_names
haftmann@24218:       end;
haftmann@24218:   in maps params o ancestry thy end;
haftmann@24218: 
haftmann@24657: fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy;
haftmann@24218: 
haftmann@24218: fun these_intros thy =
haftmann@24657:   Graph.fold (fn (_, (data, _)) => insert Thm.eq_thm ((#intro o rep_class_data) data))
haftmann@24218:     ((fst o ClassData.get) thy) [];
haftmann@24218: 
haftmann@24657: fun these_localized thy class =
haftmann@24657:   maps (#localized o the_class_data thy) (ancestry thy [class]);
haftmann@24657: 
haftmann@24657: fun local_param thy = AList.lookup (op =) o these_localized thy;
haftmann@24657: 
haftmann@24218: fun print_classes thy =
haftmann@24218:   let
haftmann@24218:     val algebra = Sign.classes_of thy;
haftmann@24218:     val arities =
haftmann@24218:       Symtab.empty
haftmann@24218:       |> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) =>
haftmann@24218:            Symtab.map_default (class, []) (insert (op =) tyco)) arities)
haftmann@24218:              ((#arities o Sorts.rep_algebra) algebra);
haftmann@24218:     val the_arities = these o Symtab.lookup arities;
haftmann@24218:     fun mk_arity class tyco =
haftmann@24218:       let
haftmann@24218:         val Ss = Sorts.mg_domain algebra tyco [class];
haftmann@24218:       in Sign.pretty_arity thy (tyco, Ss, [class]) end;
haftmann@24218:     fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: "
haftmann@24218:       ^ setmp show_sorts false (Sign.string_of_typ thy o Type.strip_sorts) ty);
haftmann@24218:     fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [
haftmann@24218:       (SOME o Pretty.str) ("class " ^ class ^ ":"),
haftmann@24218:       (SOME o Pretty.block) [Pretty.str "supersort: ",
wenzelm@24731:         (Sign.pretty_sort thy o Sign.minimize_sort thy o Sign.super_classes thy) class],
haftmann@24657:       Option.map (Pretty.str o prefix "locale: " o #locale) (lookup_class_data thy class),
haftmann@24218:       ((fn [] => NONE | ps => (SOME o Pretty.block o Pretty.fbreaks) (Pretty.str "parameters:" :: ps)) o map mk_param
haftmann@24218:         o these o Option.map #params o try (AxClass.get_definition thy)) class,
haftmann@24218:       (SOME o Pretty.block o Pretty.breaks) [
haftmann@24218:         Pretty.str "instances:",
haftmann@24218:         Pretty.list "" "" (map (mk_arity class) (the_arities class))
haftmann@24218:       ]
haftmann@24218:     ]
haftmann@24218:   in
haftmann@24589:     (Pretty.writeln o Pretty.chunks o separate (Pretty.str "")
haftmann@24589:       o map mk_entry o Sorts.all_classes) algebra
haftmann@24218:   end;
haftmann@24218: 
haftmann@24218: 
haftmann@24218: (* updaters *)
haftmann@24218: 
haftmann@24589: fun add_class_data ((class, superclasses), (locale, consts, v, inst, intro)) =
haftmann@24218:   ClassData.map (fn (gr, tab) => (
haftmann@24218:     gr
haftmann@24657:     |> Graph.new_node (class, mk_class_data ((locale, (map o apfst) fst consts, v, inst, intro),
haftmann@24657:          ([], map (apsnd (rpair (class, 0) o Free) o swap) consts)))
haftmann@24218:     |> fold (curry Graph.add_edge class) superclasses,
haftmann@24218:     tab
haftmann@24218:     |> Symtab.update (locale, class)
haftmann@24218:   ));
haftmann@24218: 
haftmann@24657: fun add_class_const_def (class, (entry, def)) =
haftmann@24657:   (ClassData.map o apfst o Graph.map_node class o map_class_data o apsnd)
haftmann@24657:     (fn (defs, localized) => (def :: defs, (apsnd o apsnd) (pair class) entry :: localized));
haftmann@24218: 
haftmann@24589: 
haftmann@24589: (** rule calculation, tactics and methods **)
haftmann@24589: 
haftmann@24589: fun class_intro thy locale class sups =
haftmann@24589:   let
haftmann@24589:     fun class_elim class =
haftmann@24589:       case (map Drule.unconstrainTs o #axioms o AxClass.get_definition thy) class
haftmann@24589:        of [thm] => SOME thm
haftmann@24589:         | [] => NONE;
haftmann@24589:     val pred_intro = case Locale.intros thy locale
haftmann@24589:      of ([ax_intro], [intro]) => intro |> OF_LAST ax_intro |> SOME
haftmann@24589:       | ([intro], []) => SOME intro
haftmann@24589:       | ([], [intro]) => SOME intro
haftmann@24589:       | _ => NONE;
haftmann@24589:     val pred_intro' = pred_intro
haftmann@24589:       |> Option.map (fn intro => intro OF map_filter class_elim sups);
haftmann@24589:     val class_intro = (#intro o AxClass.get_definition thy) class;
haftmann@24589:     val raw_intro = case pred_intro'
haftmann@24589:      of SOME pred_intro => class_intro |> OF_LAST pred_intro
haftmann@24589:       | NONE => class_intro;
haftmann@24589:     val sort = Sign.super_classes thy class;
haftmann@24589:     val typ = TVar ((AxClass.param_tyvarname, 0), sort);
haftmann@24589:     val defs = these_defs thy sups;
haftmann@24589:   in
haftmann@24589:     raw_intro
haftmann@24589:     |> Drule.instantiate' [SOME (Thm.ctyp_of thy typ)] []
haftmann@24589:     |> strip_all_ofclass thy sort
haftmann@24589:     |> Thm.strip_shyps
haftmann@24589:     |> MetaSimplifier.rewrite_rule defs
haftmann@24589:     |> Drule.unconstrainTs
haftmann@24589:   end;
haftmann@24589: 
haftmann@24589: fun class_interpretation class facts defs thy =
haftmann@24589:   let
haftmann@24657:     val { locale, inst, ... } = the_class_data thy class;
haftmann@24589:     val tac = (ALLGOALS o ProofContext.fact_tac) facts;
haftmann@24589:     val prfx = Logic.const_of_class (NameSpace.base class);
haftmann@24589:   in
haftmann@24589:     prove_interpretation tac ((false, prfx), []) (Locale.Locale locale)
haftmann@24589:       (inst, defs) thy
haftmann@24589:   end;
haftmann@24589: 
haftmann@24589: fun interpretation_in_rule thy (class1, class2) =
haftmann@24589:   let
haftmann@24589:     fun mk_axioms class =
haftmann@24589:       let
haftmann@24657:         val { locale, inst = (_, insttab), ... } = the_class_data thy class;
haftmann@24589:       in
haftmann@24589:         Locale.global_asms_of thy locale
haftmann@24589:         |> maps snd
haftmann@24589:         |> (map o map_aterms) (fn Free (s, _) => (the o Symtab.lookup insttab) s | t => t)
haftmann@24589:         |> (map o map_types o map_atyps) (fn TFree _ => TFree ("'a", [class1]) | T => T)
haftmann@24589:         |> map (ObjectLogic.ensure_propT thy)
haftmann@24589:       end;
haftmann@24589:     val (prems, concls) = pairself mk_axioms (class1, class2);
haftmann@24589:   in
haftmann@24589:     Goal.prove_global thy [] prems (Logic.mk_conjunction_list concls)
haftmann@24589:       (Locale.intro_locales_tac true (ProofContext.init thy))
haftmann@24589:   end;
haftmann@24218: 
haftmann@24218: fun intro_classes_tac facts st =
haftmann@24218:   let
haftmann@24218:     val thy = Thm.theory_of_thm st;
haftmann@24218:     val classes = Sign.all_classes thy;
haftmann@24218:     val class_trivs = map (Thm.class_triv thy) classes;
haftmann@24218:     val class_intros = these_intros thy;
haftmann@24218:     fun add_axclass_intro class =
haftmann@24218:       case try (AxClass.get_definition thy) class of SOME {intro, ...} => cons intro | _ => I;
haftmann@24218:     val axclass_intros = fold add_axclass_intro classes [];
haftmann@24218:   in
haftmann@24218:     st
haftmann@24218:     |> ((ALLGOALS (Method.insert_tac facts THEN'
haftmann@24218:           REPEAT_ALL_NEW (resolve_tac (class_trivs @ class_intros @ axclass_intros))))
haftmann@24218:             THEN Tactic.distinct_subgoals_tac)
haftmann@24218:   end;
haftmann@24218: 
haftmann@24218: fun default_intro_classes_tac [] = intro_classes_tac []
haftmann@24218:   | default_intro_classes_tac _ = Tactical.no_tac;    (*no error message!*)
haftmann@24218: 
haftmann@24218: fun default_tac rules ctxt facts =
haftmann@24218:   HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE
haftmann@24218:     default_intro_classes_tac facts;
haftmann@24218: 
haftmann@24218: val _ = Context.add_setup (Method.add_methods
haftmann@24218:  [("intro_classes", Method.no_args (Method.METHOD intro_classes_tac),
haftmann@24218:     "back-chain introduction rules of classes"),
haftmann@24218:   ("default", Method.thms_ctxt_args (Method.METHOD oo default_tac),
haftmann@24218:     "apply some intro/elim rule")]);
haftmann@24218: 
haftmann@24218: 
haftmann@24589: (** classes and class target **)
haftmann@24218: 
haftmann@24589: (* class definition *)
haftmann@24218: 
haftmann@24218: local
haftmann@24218: 
wenzelm@24707: fun read_param thy raw_t =  (* FIXME ProofContext.read_const (!?) *)
haftmann@24218:   let
wenzelm@24707:     val t = Syntax.read_term_global thy raw_t
haftmann@24218:   in case try dest_Const t
haftmann@24218:    of SOME (c, _) => c
haftmann@24218:     | NONE => error ("Not a constant: " ^ Sign.string_of_term thy t)
haftmann@24218:   end;
haftmann@24218: 
haftmann@24218: fun gen_class add_locale prep_class prep_param bname
haftmann@24218:     raw_supclasses raw_elems raw_other_consts thy =
haftmann@24218:   let
haftmann@24589:     fun mk_instT class = Symtab.empty
haftmann@24589:       |> Symtab.update (AxClass.param_tyvarname, TFree (AxClass.param_tyvarname, [class]));
haftmann@24589:     fun mk_inst class param_names cs =
haftmann@24589:       Symtab.empty
haftmann@24589:       |> fold2 (fn v => fn (c, ty) => Symtab.update (v, Const
haftmann@24589:            (c, Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty))) param_names cs;
haftmann@24218:     (*FIXME need proper concept for reading locale statements*)
haftmann@24218:     fun subst_classtyvar (_, _) =
haftmann@24218:           TFree (AxClass.param_tyvarname, [])
haftmann@24218:       | subst_classtyvar (v, sort) =
haftmann@24589:           error ("Sort constraint illegal in type class, for type variable "
haftmann@24589:             ^ v ^ "::" ^ Sign.string_of_sort thy sort);
haftmann@24218:     (*val subst_classtyvars = Element.map_ctxt {name = I, var = I, term = I,
haftmann@24218:       typ = Term.map_type_tfree subst_classtyvar, fact = I, attrib = I};*)
haftmann@24218:     val other_consts = map (prep_param thy) raw_other_consts;
haftmann@24218:     val (elems, includes) = fold_rev (fn Locale.Elem e => apfst (cons e)
haftmann@24218:       | Locale.Expr i => apsnd (cons i)) raw_elems ([], []);
haftmann@24218:     val supclasses = map (prep_class thy) raw_supclasses;
haftmann@24218:     val sups = filter (is_some o lookup_class_data thy) supclasses
wenzelm@24731:       |> Sign.minimize_sort thy;
wenzelm@24731:     val supsort = Sign.minimize_sort thy supclasses;
haftmann@24657:     val suplocales = map (Locale.Locale o #locale o the_class_data thy) sups;
haftmann@24218:     val supexpr = Locale.Merge (suplocales @ includes);
haftmann@24218:     val supparams = (map fst o Locale.parameters_of_expr thy)
haftmann@24218:       (Locale.Merge suplocales);
haftmann@24435:     val supconsts = AList.make (the o AList.lookup (op =) (params_of_sort thy sups))
haftmann@24218:       (map fst supparams);
haftmann@24218:     (*val elems_constrains = map
haftmann@24218:       (Element.Constrains o apsnd (Term.map_type_tfree subst_classtyvar)) supparams;*)
haftmann@24218:     fun mk_tyvar (_, sort) = TFree (AxClass.param_tyvarname,
haftmann@24218:       if Sign.subsort thy (supsort, sort) then sort else error
haftmann@24218:         ("Sort " ^ Sign.string_of_sort thy sort
haftmann@24218:           ^ " is less general than permitted least general sort "
haftmann@24218:           ^ Sign.string_of_sort thy supsort));
haftmann@24218:     fun extract_params thy name_locale =
haftmann@24218:       let
haftmann@24218:         val params = Locale.parameters_of thy name_locale;
haftmann@24218:         val v = case (maps typ_tfrees o map (snd o fst)) params
haftmann@24657:          of (v, _) :: _ => v
haftmann@24657:           | [] => AxClass.param_tyvarname;
haftmann@24218:       in
haftmann@24657:         (v, (map fst params, params
haftmann@24218:         |> (map o apfst o apsnd o Term.map_type_tfree) mk_tyvar
haftmann@24218:         |> (map o apsnd) (fork_mixfix true NONE #> fst)
haftmann@24218:         |> chop (length supconsts)
haftmann@24218:         |> snd))
haftmann@24218:       end;
haftmann@24218:     fun extract_assumes name_locale params thy cs =
haftmann@24218:       let
haftmann@24218:         val consts = supconsts @ (map (fst o fst) params ~~ cs);
haftmann@24218:         fun subst (Free (c, ty)) =
haftmann@24218:               Const ((fst o the o AList.lookup (op =) consts) c, ty)
haftmann@24218:           | subst t = t;
haftmann@24218:         fun prep_asm ((name, atts), ts) =
haftmann@24218:           ((NameSpace.base name, map (Attrib.attribute thy) atts),
haftmann@24589:             (map o map_aterms) subst ts);
haftmann@24218:       in
haftmann@24218:         Locale.global_asms_of thy name_locale
haftmann@24218:         |> map prep_asm
haftmann@24218:       end;
haftmann@24218:     fun note_intro name_axclass class_intro =
haftmann@24218:       PureThy.note_thmss_qualified "" ((Logic.const_of_class o NameSpace.base) name_axclass)
haftmann@24218:         [(("intro", []), [([class_intro], [])])]
haftmann@24218:       #> snd
haftmann@24218:   in
haftmann@24218:     thy
haftmann@24218:     |> add_locale (SOME "") bname supexpr ((*elems_constrains @*) elems)
haftmann@24218:     |-> (fn name_locale => ProofContext.theory_result (
haftmann@24218:       `(fn thy => extract_params thy name_locale)
haftmann@24657:       #-> (fn (v, (globals, params)) =>
haftmann@24589:         AxClass.define_class_params (bname, supsort) params
haftmann@24589:           (extract_assumes name_locale params) other_consts
haftmann@24589:       #-> (fn (name_axclass, (consts, axioms)) =>
haftmann@24218:         `(fn thy => class_intro thy name_locale name_axclass sups)
haftmann@24218:       #-> (fn class_intro =>
haftmann@24218:         add_class_data ((name_axclass, sups),
haftmann@24657:           (name_locale, map fst params ~~ map fst consts, v,
haftmann@24657:             (mk_instT name_axclass, mk_inst name_axclass (map fst globals)
haftmann@24589:               (map snd supconsts @ consts)), class_intro))
haftmann@24218:       #> note_intro name_axclass class_intro
haftmann@24589:       #> class_interpretation name_axclass axioms []
haftmann@24218:       #> pair name_axclass
haftmann@24218:       )))))
haftmann@24218:   end;
haftmann@24218: 
haftmann@24218: in
haftmann@24218: 
haftmann@24218: val class_cmd = gen_class Locale.add_locale Sign.intern_class read_param;
haftmann@24218: val class = gen_class Locale.add_locale_i Sign.certify_class (K I);
haftmann@24218: 
haftmann@24218: end; (*local*)
haftmann@24218: 
haftmann@24218: 
haftmann@24657: (* class target context *)
haftmann@24657: 
haftmann@24657: fun remove_constraints class thy =
haftmann@24657:   thy |> fold_map (get_remove_contraint o fst) (these_localized thy class);
haftmann@24657: 
haftmann@24657: 
haftmann@24589: (* definition in class target *)
haftmann@24218: 
haftmann@24218: fun export_fixes thy class =
haftmann@24218:   let
haftmann@24435:     val consts = params_of_sort thy [class];
haftmann@24218:     fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) consts v
haftmann@24218:          of SOME (c, _) => Const (c, ty)
haftmann@24218:           | NONE => t)
haftmann@24218:       | subst_aterm t = t;
haftmann@24657:   in Term.map_aterms subst_aterm end;
haftmann@24218: 
haftmann@24218: fun add_const_in_class class ((c, rhs), syn) thy =
haftmann@24218:   let
haftmann@24218:     val prfx = (Logic.const_of_class o NameSpace.base) class;
haftmann@24657:     fun mk_name c =
haftmann@24218:       let
haftmann@24218:         val n1 = Sign.full_name thy c;
haftmann@24218:         val n2 = NameSpace.qualifier n1;
haftmann@24218:         val n3 = NameSpace.base n1;
haftmann@24657:       in NameSpace.implode [n2, prfx, n3] end;
haftmann@24657:     val v = (#v o the_class_data thy) class;
haftmann@24657:     val constrain_sort = curry (Sorts.inter_sort (Sign.classes_of thy)) [class];
haftmann@24657:     val subst_typ = Term.map_type_tfree (fn var as (w, sort) =>
haftmann@24657:       if w = v then TFree (w, constrain_sort sort) else TFree var);
haftmann@24218:     val rhs' = export_fixes thy class rhs;
haftmann@24218:     val ty' = Term.fastype_of rhs';
haftmann@24657:     val ty'' = subst_typ ty';
haftmann@24657:     val c' = mk_name c;
haftmann@24657:     val def = (c, Logic.mk_equals (Const (c', ty'), rhs'));
haftmann@24218:     val (syn', _) = fork_mixfix true NONE syn;
haftmann@24657:     fun interpret def thy =
haftmann@24218:       let
haftmann@24589:         val def' = symmetric def;
haftmann@24218:         val def_eq = Thm.prop_of def';
haftmann@24657:         val typargs = Sign.const_typargs thy (c', fastype_of rhs);
haftmann@24657:         val typidx = find_index (fn TFree (w, _) => v = w | _ => false) typargs;
haftmann@24218:       in
haftmann@24657:         thy
haftmann@24657:         |> class_interpretation class [def'] [def_eq]
haftmann@24657:         |> add_class_const_def (class, ((c', (rhs, typidx)), def'))
haftmann@24218:       end;
haftmann@24218:   in
haftmann@24218:     thy
haftmann@24218:     |> Sign.add_path prfx
haftmann@24218:     |> Sign.add_consts_authentic [(c, ty', syn')]
haftmann@24218:     |> Sign.parent_path
haftmann@24218:     |> Sign.sticky_prefix prfx
haftmann@24218:     |> PureThy.add_defs_i false [(def, [])]
haftmann@24218:     |-> (fn [def] => interpret def)
haftmann@24657:     |> Sign.add_const_constraint_i (c', SOME ty'')
haftmann@24218:     |> Sign.restore_naming thy
haftmann@24218:   end;
haftmann@24218: 
haftmann@24589: 
haftmann@24589: (* interpretation in class target *)
haftmann@24589: 
haftmann@24589: local
haftmann@24589: 
haftmann@24589: fun gen_interpretation_in_class prep_class do_proof (raw_class, raw_superclass) theory =
haftmann@24589:   let
haftmann@24589:     val class = prep_class theory raw_class;
haftmann@24589:     val superclass = prep_class theory raw_superclass;
haftmann@24657:     val loc_name = (#locale o the_class_data theory) class;
haftmann@24657:     val loc_expr = (Locale.Locale o #locale o the_class_data theory) superclass;
haftmann@24589:     fun prove_classrel (class, superclass) thy =
haftmann@24589:       let
wenzelm@24731:         val classes = Sign.complete_sort thy [superclass]
haftmann@24589:           |> filter_out (fn class' => Sign.subsort thy ([class], [class']));
haftmann@24589:         fun instance_subclass (class1, class2) thy  =
haftmann@24589:           let
haftmann@24589:             val interp = interpretation_in_rule thy (class1, class2);
haftmann@24589:             val ax = #axioms (AxClass.get_definition thy class1);
haftmann@24589:             val intro = #intro (AxClass.get_definition thy class2)
haftmann@24589:               |> Drule.instantiate' [SOME (Thm.ctyp_of thy
haftmann@24589:                   (TVar ((AxClass.param_tyvarname, 0), [class1])))] [];
wenzelm@24731:             val thm =
haftmann@24589:               intro
haftmann@24589:               |> OF_LAST (interp OF ax)
haftmann@24589:               |> strip_all_ofclass thy (Sign.super_classes thy class2);
haftmann@24589:           in
haftmann@24589:             thy |> AxClass.add_classrel thm
haftmann@24589:           end;
haftmann@24589:       in
haftmann@24589:         thy |> fold_rev (curry instance_subclass class) classes
haftmann@24589:       end;
haftmann@24589:   in
haftmann@24589:     theory
haftmann@24589:     |> do_proof (prove_classrel (class, superclass)) (loc_name, loc_expr)
haftmann@24589:   end;
haftmann@24589: 
haftmann@24589: in
haftmann@24589: 
haftmann@24589: val interpretation_in_class = gen_interpretation_in_class Sign.certify_class
haftmann@24589:   (Locale.interpretation_in_locale o ProofContext.theory);
haftmann@24589: val interpretation_in_class_cmd = gen_interpretation_in_class Sign.read_class
haftmann@24589:   (Locale.interpretation_in_locale o ProofContext.theory);
haftmann@24589: val prove_interpretation_in_class = gen_interpretation_in_class Sign.certify_class
haftmann@24589:   o prove_interpretation_in;
haftmann@24589: 
haftmann@24589: end; (*local*)
haftmann@24589: 
haftmann@24657: (*experimental*)
haftmann@24657: fun class_term_check thy class =
haftmann@24657:   let
haftmann@24657:     val algebra = Sign.classes_of thy;
haftmann@24657:     val { v, ... } = the_class_data thy class;
haftmann@24657:     fun add_constrain_classtyp sort' (ty as TFree (v, _)) =
haftmann@24657:           AList.map_default (op =) (v, []) (curry (Sorts.inter_sort algebra) sort')
haftmann@24657:       | add_constrain_classtyp sort' (Type (tyco, tys)) = case Sorts.mg_domain algebra tyco sort'
haftmann@24657:          of sorts => fold2 add_constrain_classtyp sorts tys;
haftmann@24657:     fun class_arg c idx ty =
haftmann@24657:       let
haftmann@24657:         val typargs = Sign.const_typargs thy (c, ty);
haftmann@24657:         fun classtyp (t as TFree (w, _)) = if w = v then NONE else SOME t
haftmann@24657:           | classtyp t = SOME t;
haftmann@24657:       in classtyp (nth typargs idx) end;
haftmann@24657:     fun add_inst (c, ty) (terminsts, typinsts) = case local_param thy class c
haftmann@24657:      of NONE => (terminsts, typinsts)
haftmann@24657:       | SOME (t, (class', idx)) => (case class_arg c idx ty
haftmann@24657:          of NONE => (((c, ty), t) :: terminsts, typinsts)
haftmann@24657:           | SOME ty => (terminsts, add_constrain_classtyp [class'] ty typinsts));
haftmann@24657:   in pair o (fn ts => let
haftmann@24657:     val cs = (fold o fold_aterms) (fn Const c_ty => insert (op =) c_ty | _ => I) ts [];
haftmann@24657:     val (terminsts, typinsts) = fold add_inst cs ([], []);
haftmann@24657:   in
haftmann@24657:     ts
haftmann@24657:     |> (map o map_aterms) (fn t as Const c_ty => the_default t (AList.lookup (op =) terminsts c_ty)
haftmann@24657:          | t => t)
haftmann@24657:     |> (map o map_types o map_atyps) (fn t as TFree (v, sort) =>
haftmann@24657:          case AList.lookup (op =) typinsts v
haftmann@24657:           of SOME sort' => TFree (v, Sorts.inter_sort algebra (sort, sort'))
haftmann@24657:            | NONE => t)
haftmann@24657:   end) end;
haftmann@24657: 
haftmann@24657: val init_ref = ref (K (pair I) : class -> Proof.context -> (theory -> theory) * Proof.context);
haftmann@24657: fun init class = ! init_ref class;
haftmann@24657: 
haftmann@24657: fun init_default class ctxt =
haftmann@24657:   let
haftmann@24657:     val thy = ProofContext.theory_of ctxt;
haftmann@24657:     val term_check = class_term_check thy class;
haftmann@24657:   in
haftmann@24657:     ctxt
haftmann@24657:     (*|> ProofContext.theory_result (remove_constraints class)*)
haftmann@24657:     |> Context.proof_map (Syntax.add_term_check term_check)
haftmann@24657:     (*|>> fold (fn (c, ty) => Sign.add_const_constraint_i (c, SOME ty))*)
haftmann@24657:     |> pair I
haftmann@24657:   end;
haftmann@24657: 
haftmann@24218: end;