src/Pure/Isar/class.ML
author wenzelm
Wed Sep 26 20:50:33 2007 +0200 (2007-09-26 ago)
changeset 24731 c25aa6ae64ec
parent 24707 dfeb98f84e93
child 24748 ee0a0eb6b738
permissions -rw-r--r--
Sign.minimize/complete_sort;
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(*  Title:      Pure/Isar/class.ML
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    ID:         $Id$
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    Author:     Florian Haftmann, TU Muenchen
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Type classes derived from primitive axclasses and locales.
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*)
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signature CLASS =
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sig
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  val fork_mixfix: bool -> string option -> mixfix -> mixfix * mixfix
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  val axclass_cmd: bstring * xstring list
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    -> ((bstring * Attrib.src list) * string list) list
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    -> theory -> class * theory
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  val classrel_cmd: xstring * xstring -> theory -> Proof.state
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  val class: bstring -> class list -> Element.context_i Locale.element list
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    -> string list -> theory -> string * Proof.context
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  val class_cmd: bstring -> xstring list -> Element.context Locale.element list
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    -> xstring list -> theory -> string * Proof.context
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  val add_const_in_class: string -> (string * term) * Syntax.mixfix
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    -> theory -> theory
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  val interpretation_in_class: class * class -> theory -> Proof.state
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  val interpretation_in_class_cmd: xstring * xstring -> theory -> Proof.state
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  val prove_interpretation_in_class: tactic -> class * class -> theory -> theory
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  val intro_classes_tac: thm list -> tactic
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  val default_intro_classes_tac: thm list -> tactic
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  val class_of_locale: theory -> string -> class option
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  val print_classes: theory -> unit
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  val instance_arity: (theory -> theory) -> arity list -> theory -> Proof.state
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  val instance: arity list -> ((bstring * Attrib.src list) * term) list
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    -> (thm list -> theory -> theory)
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    -> theory -> Proof.state
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  val instance_cmd: (bstring * xstring list * xstring) list
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    -> ((bstring * Attrib.src list) * xstring) list
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    -> (thm list -> theory -> theory)
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    -> theory -> Proof.state
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  val prove_instance: tactic -> arity list
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    -> ((bstring * Attrib.src list) * term) list
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    -> theory -> thm list * theory
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  val unoverload: theory -> conv
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  val overload: theory -> conv
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  val unoverload_const: theory -> string * typ -> string
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  val inst_const: theory -> string * string -> string
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  val param_const: theory -> string -> (string * string) option
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  val params_of_sort: theory -> sort -> (string * (string * typ)) list
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  (*experimental*)
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  val init_ref: (class -> Proof.context -> (theory -> theory) * Proof.context) ref
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  val init: class -> Proof.context -> (theory -> theory) * Proof.context;
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  val init_default: class -> Proof.context -> (theory -> theory) * Proof.context;
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  val remove_constraints: class -> theory -> (string * typ) list * theory
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  val class_term_check: theory -> class -> term list -> Proof.context -> term list * Proof.context
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  val local_param: theory -> class -> string -> (term * (class * int)) option
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end;
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structure Class : CLASS =
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struct
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(** auxiliary **)
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fun fork_mixfix is_loc some_class mx =
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  let
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    val mx' = Syntax.unlocalize_mixfix mx;
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    val mx_global = if is_some some_class orelse (is_loc andalso mx = mx')
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      then NoSyn else mx';
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    val mx_local = if is_loc then mx else NoSyn;
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  in (mx_global, mx_local) end;
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fun prove_interpretation tac prfx_atts expr insts =
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  Locale.interpretation_i I prfx_atts expr insts
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  #> Proof.global_terminal_proof
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      (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
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  #> ProofContext.theory_of;
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fun prove_interpretation_in tac after_qed (name, expr) =
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  Locale.interpretation_in_locale
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      (ProofContext.theory after_qed) (name, expr)
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  #> Proof.global_terminal_proof
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      (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
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  #> ProofContext.theory_of;
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fun OF_LAST thm1 thm2 =
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  let
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    val n = (length o Logic.strip_imp_prems o prop_of) thm2;
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  in (thm1 RSN (n, thm2)) end;
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fun strip_all_ofclass thy sort =
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  let
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    val typ = TVar ((AxClass.param_tyvarname, 0), sort);
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    fun prem_inclass t =
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      case Logic.strip_imp_prems t
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       of ofcls :: _ => try Logic.dest_inclass ofcls
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        | [] => NONE;
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    fun strip_ofclass class thm =
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      thm OF (fst o AxClass.of_sort thy (typ, [class])) AxClass.cache;
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    fun strip thm = case (prem_inclass o Thm.prop_of) thm
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     of SOME (_, class) => thm |> strip_ofclass class |> strip
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      | NONE => thm;
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  in strip end;
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fun get_remove_contraint c thy =
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  let
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    val ty = Sign.the_const_constraint thy c;
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  in
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    thy
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    |> Sign.add_const_constraint_i (c, NONE)
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    |> pair (c, Logic.unvarifyT ty)
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  end;
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(** axclass command **)
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fun axclass_cmd (class, raw_superclasses) raw_specs thy =
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  let
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    val ctxt = ProofContext.init thy;
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    val superclasses = map (Sign.read_class thy) raw_superclasses;
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    val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst)
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      raw_specs;
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    val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd)
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          raw_specs)
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      |> snd
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      |> (map o map) fst;
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  in
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    AxClass.define_class (class, superclasses) []
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      (name_atts ~~ axiomss) thy
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  end;
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local
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fun gen_instance mk_prop add_thm after_qed insts thy =
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  let
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    fun after_qed' results =
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      ProofContext.theory ((fold o fold) add_thm results #> after_qed);
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  in
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    thy
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    |> ProofContext.init
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    |> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])])
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        o maps (mk_prop thy)) insts)
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  end;
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in
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val instance_arity =
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  gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity;
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val classrel =
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  gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel))
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    AxClass.add_classrel I o single;
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val classrel_cmd =
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  gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel))
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    AxClass.add_classrel I o single;
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end; (*local*)
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(** explicit constants for overloaded definitions **)
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structure InstData = TheoryDataFun
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(
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  type T = (string * thm) Symtab.table Symtab.table * (string * string) Symtab.table;
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    (*constant name ~> type constructor ~> (constant name, equation),
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        constant name ~> (constant name, type constructor)*)
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  val empty = (Symtab.empty, Symtab.empty);
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  val copy = I;
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  val extend = I;
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  fun merge _ ((taba1, tabb1), (taba2, tabb2)) =
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    (Symtab.join (K (Symtab.merge (K true))) (taba1, taba2),
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      Symtab.merge (K true) (tabb1, tabb2));
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);
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fun inst_thms f thy = (Symtab.fold (Symtab.fold (cons o f o snd o snd) o snd) o fst)
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    (InstData.get thy) [];
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fun add_inst (c, tyco) inst = (InstData.map o apfst
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      o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst))
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  #> (InstData.map o apsnd) (Symtab.update_new (fst inst, (c, tyco)));
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fun unoverload thy = MetaSimplifier.rewrite false (inst_thms I thy);
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fun overload thy = MetaSimplifier.rewrite false (inst_thms symmetric thy);
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fun inst_const thy (c, tyco) =
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  (fst o the o Symtab.lookup ((the o Symtab.lookup (fst (InstData.get thy))) c)) tyco;
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fun unoverload_const thy (c_ty as (c, _)) =
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  case AxClass.class_of_param thy c
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   of SOME class => (case Sign.const_typargs thy c_ty
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       of [Type (tyco, _)] => (case Symtab.lookup
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           ((the o Symtab.lookup (fst (InstData.get thy))) c) tyco
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             of SOME (c, _) => c
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              | NONE => c)
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        | [_] => c)
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    | NONE => c;
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val param_const = Symtab.lookup o snd o InstData.get;
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fun add_inst_def (class, tyco) (c, ty) thy =
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  let
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    val tyco_base = NameSpace.base tyco;
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    val name_inst = NameSpace.base class ^ "_" ^ tyco_base ^ "_inst";
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    val c_inst_base = NameSpace.base c ^ "_" ^ tyco_base;
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  in
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    thy
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    |> Sign.sticky_prefix name_inst
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    |> PureThy.simple_def ("", [])
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         (((c_inst_base, ty, Syntax.NoSyn), []), Const (c, ty))
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    |-> (fn (c_inst, thm) => add_inst (c, tyco) (c_inst, symmetric thm))
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    |> Sign.restore_naming thy
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  end;
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fun add_inst_def' (class, tyco) (c, ty) thy =
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  if case Symtab.lookup (fst (InstData.get thy)) c
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   of NONE => true
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    | SOME tab => is_none (Symtab.lookup tab tyco)
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  then add_inst_def (class, tyco) (c, Logic.unvarifyT ty) thy
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  else thy;
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fun add_def ((class, tyco), ((name, prop), atts)) thy =
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  let
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    val ((lhs as Const (c, ty), args), rhs) =
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      (apfst Term.strip_comb o Logic.dest_equals) prop;
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    fun (*add_inst' def ([], (Const (c_inst, ty))) =
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          if forall (fn TFree _ => true | _ => false) (Sign.const_typargs thy (c_inst, ty))
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          then add_inst (c, tyco) (c_inst, def)
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          else add_inst_def (class, tyco) (c, ty)
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      |*) add_inst' _ t = add_inst_def (class, tyco) (c, ty);
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  in
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    thy
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    |> PureThy.add_defs_i true [((name, prop), map (Attrib.attribute thy) atts)]
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    |-> (fn [def] => add_inst' def (args, rhs) #> pair def)
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  end;
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(** instances with implicit parameter handling **)
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local
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fun gen_read_def thy prep_att parse_prop ((raw_name, raw_atts), raw_t) =
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  let
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    val ctxt = ProofContext.init thy;
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    val t = parse_prop ctxt raw_t |> Syntax.check_prop ctxt;
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    val ((c, ty), _) = Sign.cert_def (Sign.pp thy) t;
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    val atts = map (prep_att thy) raw_atts;
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    val insts = Consts.typargs (Sign.consts_of thy) (c, ty);
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    val name = case raw_name
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     of "" => NONE
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      | _ => SOME raw_name;
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  in (c, (insts, ((name, t), atts))) end;
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fun read_def_cmd thy = gen_read_def thy Attrib.intern_src Syntax.parse_prop;
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fun read_def thy = gen_read_def thy (K I) (K I);
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fun gen_instance prep_arity read_def do_proof raw_arities raw_defs after_qed theory =
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  let
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    val arities = map (prep_arity theory) raw_arities;
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    val _ = if null arities then error "at least one arity must be given" else ();
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    val _ = case (duplicates (op =) o map #1) arities
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     of [] => ()
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      | dupl_tycos => error ("type constructors occur more than once in arities: "
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          ^ (commas o map quote) dupl_tycos);
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    fun get_consts_class tyco ty class =
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      let
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        val cs = (these o Option.map snd o try (AxClass.params_of_class theory)) class;
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        val subst_ty = map_type_tfree (K ty);
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      in
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        map (fn (c, ty) => (c, ((class, tyco), subst_ty ty))) cs
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      end;
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    fun get_consts_sort (tyco, asorts, sort) =
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      let
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        val ty = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort))
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          (Name.names Name.context "'a" asorts))
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      in maps (get_consts_class tyco ty) (Sign.complete_sort theory sort) end;
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    val cs = maps get_consts_sort arities;
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    fun mk_typnorm thy (ty, ty_sc) =
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      case try (Sign.typ_match thy (Logic.varifyT ty_sc, ty)) Vartab.empty
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       of SOME env => SOME (Logic.varifyT #> Envir.typ_subst_TVars env #> Logic.unvarifyT)
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        | NONE => NONE;
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    fun read_defs defs cs thy_read =
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      let
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        fun read raw_def cs =
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          let
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            val (c, (inst, ((name_opt, t), atts))) = read_def thy_read raw_def;
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            val ty = Consts.instance (Sign.consts_of thy_read) (c, inst);
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            val ((class, tyco), ty') = case AList.lookup (op =) cs c
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             of NONE => error ("illegal definition for constant " ^ quote c)
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              | SOME class_ty => class_ty;
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            val name = case name_opt
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             of NONE => Thm.def_name (Logic.name_arity (tyco, [], c))
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              | SOME name => name;
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            val t' = case mk_typnorm thy_read (ty', ty)
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             of NONE => error ("illegal definition for constant " ^
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                  quote (c ^ "::" ^ setmp show_sorts true
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                    (Sign.string_of_typ thy_read) ty))
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              | SOME norm => map_types norm t
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          in (((class, tyco), ((name, t'), atts)), AList.delete (op =) c cs) end;
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      in fold_map read defs cs end;
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    val (defs, other_cs) = read_defs raw_defs cs
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      (fold Sign.primitive_arity arities (Theory.copy theory));
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    fun after_qed' cs defs =
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      fold Sign.add_const_constraint_i (map (apsnd SOME) cs)
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      #> after_qed defs;
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  in
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    theory
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    |> fold_map get_remove_contraint (map fst cs |> distinct (op =))
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    ||>> fold_map add_def defs
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    ||> fold (fn (c, ((class, tyco), ty)) => add_inst_def' (class, tyco) (c, ty)) other_cs
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    |-> (fn (cs, defs) => do_proof (after_qed' cs defs) arities defs)
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  end;
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fun tactic_proof tac f arities defs =
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  fold (fn arity => AxClass.prove_arity arity tac) arities
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  #> f
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  #> pair defs;
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in
haftmann@24218
   313
haftmann@24589
   314
val instance = gen_instance Sign.cert_arity read_def
haftmann@24589
   315
  (fn f => fn arities => fn defs => instance_arity f arities);
haftmann@24589
   316
val instance_cmd = gen_instance Sign.read_arity read_def_cmd
haftmann@24589
   317
  (fn f => fn arities => fn defs => instance_arity f arities);
haftmann@24589
   318
fun prove_instance tac arities defs =
haftmann@24589
   319
  gen_instance Sign.cert_arity read_def
haftmann@24589
   320
    (tactic_proof tac) arities defs (K I);
haftmann@24218
   321
haftmann@24218
   322
end; (*local*)
haftmann@24218
   323
haftmann@24218
   324
haftmann@24218
   325
haftmann@24589
   326
(** class data **)
haftmann@24218
   327
haftmann@24218
   328
datatype class_data = ClassData of {
haftmann@24218
   329
  locale: string,
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   330
  consts: (string * string) list
haftmann@24657
   331
    (*locale parameter ~> theory constant name*),
haftmann@24657
   332
  v: string,
haftmann@24589
   333
  inst: typ Symtab.table * term Symtab.table
haftmann@24589
   334
    (*canonical interpretation*),
haftmann@24657
   335
  intro: thm,
haftmann@24657
   336
  defs: thm list,
haftmann@24657
   337
  localized: (string * (term * (class * int))) list
haftmann@24657
   338
    (*theory constant name ~> (locale parameter, (class, instantiaton index of class typ))*)
haftmann@24657
   339
};
haftmann@24218
   340
haftmann@24657
   341
fun rep_class_data (ClassData d) = d;
haftmann@24657
   342
fun mk_class_data ((locale, consts, v, inst, intro), (defs, localized)) =
haftmann@24657
   343
  ClassData { locale = locale, consts = consts, v = v, inst = inst, intro = intro,
haftmann@24657
   344
    defs = defs, localized = localized };
haftmann@24657
   345
fun map_class_data f (ClassData { locale, consts, v, inst, intro, defs, localized }) =
haftmann@24657
   346
  mk_class_data (f ((locale, consts, v, inst, intro), (defs, localized)))
haftmann@24657
   347
fun merge_class_data _ (ClassData { locale = locale, consts = consts, v = v, inst = inst,
haftmann@24657
   348
    intro = intro, defs = defs1, localized = localized1 },
haftmann@24657
   349
  ClassData { locale = _, consts = _, v = _, inst = _, intro = _,
haftmann@24657
   350
    defs = defs2, localized = localized2 }) =
haftmann@24657
   351
  mk_class_data ((locale, consts, v, inst, intro),
haftmann@24657
   352
    (Thm.merge_thms (defs1, defs2), AList.merge (op =) (K true) (localized1, localized2)));
haftmann@24218
   353
haftmann@24218
   354
fun merge_pair f1 f2 ((x1, y1), (x2, y2)) = (f1 (x1, x2), f2 (y1, y2));
haftmann@24218
   355
haftmann@24218
   356
structure ClassData = TheoryDataFun
haftmann@24218
   357
(
haftmann@24657
   358
  type T = class_data Graph.T * class Symtab.table
haftmann@24657
   359
    (*locale name ~> class name*);
haftmann@24218
   360
  val empty = (Graph.empty, Symtab.empty);
haftmann@24218
   361
  val copy = I;
haftmann@24218
   362
  val extend = I;
haftmann@24657
   363
  fun merge _ = merge_pair (Graph.join merge_class_data) (Symtab.merge (K true));
haftmann@24218
   364
);
haftmann@24218
   365
haftmann@24218
   366
haftmann@24218
   367
(* queries *)
haftmann@24218
   368
haftmann@24657
   369
val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node
haftmann@24589
   370
  o fst o ClassData.get;
haftmann@24218
   371
fun class_of_locale thy = Symtab.lookup ((snd o ClassData.get) thy);
haftmann@24218
   372
haftmann@24589
   373
fun the_class_data thy class = case lookup_class_data thy class
haftmann@24589
   374
 of NONE => error ("undeclared class " ^ quote class)
haftmann@24589
   375
  | SOME data => data;
haftmann@24218
   376
haftmann@24218
   377
val ancestry = Graph.all_succs o fst o ClassData.get;
haftmann@24218
   378
haftmann@24435
   379
fun params_of_sort thy =
haftmann@24218
   380
  let
haftmann@24218
   381
    fun params class =
haftmann@24218
   382
      let
haftmann@24218
   383
        val const_typs = (#params o AxClass.get_definition thy) class;
haftmann@24657
   384
        val const_names = (#consts o the_class_data thy) class;
haftmann@24218
   385
      in
haftmann@24218
   386
        (map o apsnd) (fn c => (c, (the o AList.lookup (op =) const_typs) c)) const_names
haftmann@24218
   387
      end;
haftmann@24218
   388
  in maps params o ancestry thy end;
haftmann@24218
   389
haftmann@24657
   390
fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy;
haftmann@24218
   391
haftmann@24218
   392
fun these_intros thy =
haftmann@24657
   393
  Graph.fold (fn (_, (data, _)) => insert Thm.eq_thm ((#intro o rep_class_data) data))
haftmann@24218
   394
    ((fst o ClassData.get) thy) [];
haftmann@24218
   395
haftmann@24657
   396
fun these_localized thy class =
haftmann@24657
   397
  maps (#localized o the_class_data thy) (ancestry thy [class]);
haftmann@24657
   398
haftmann@24657
   399
fun local_param thy = AList.lookup (op =) o these_localized thy;
haftmann@24657
   400
haftmann@24218
   401
fun print_classes thy =
haftmann@24218
   402
  let
haftmann@24218
   403
    val algebra = Sign.classes_of thy;
haftmann@24218
   404
    val arities =
haftmann@24218
   405
      Symtab.empty
haftmann@24218
   406
      |> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) =>
haftmann@24218
   407
           Symtab.map_default (class, []) (insert (op =) tyco)) arities)
haftmann@24218
   408
             ((#arities o Sorts.rep_algebra) algebra);
haftmann@24218
   409
    val the_arities = these o Symtab.lookup arities;
haftmann@24218
   410
    fun mk_arity class tyco =
haftmann@24218
   411
      let
haftmann@24218
   412
        val Ss = Sorts.mg_domain algebra tyco [class];
haftmann@24218
   413
      in Sign.pretty_arity thy (tyco, Ss, [class]) end;
haftmann@24218
   414
    fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: "
haftmann@24218
   415
      ^ setmp show_sorts false (Sign.string_of_typ thy o Type.strip_sorts) ty);
haftmann@24218
   416
    fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [
haftmann@24218
   417
      (SOME o Pretty.str) ("class " ^ class ^ ":"),
haftmann@24218
   418
      (SOME o Pretty.block) [Pretty.str "supersort: ",
wenzelm@24731
   419
        (Sign.pretty_sort thy o Sign.minimize_sort thy o Sign.super_classes thy) class],
haftmann@24657
   420
      Option.map (Pretty.str o prefix "locale: " o #locale) (lookup_class_data thy class),
haftmann@24218
   421
      ((fn [] => NONE | ps => (SOME o Pretty.block o Pretty.fbreaks) (Pretty.str "parameters:" :: ps)) o map mk_param
haftmann@24218
   422
        o these o Option.map #params o try (AxClass.get_definition thy)) class,
haftmann@24218
   423
      (SOME o Pretty.block o Pretty.breaks) [
haftmann@24218
   424
        Pretty.str "instances:",
haftmann@24218
   425
        Pretty.list "" "" (map (mk_arity class) (the_arities class))
haftmann@24218
   426
      ]
haftmann@24218
   427
    ]
haftmann@24218
   428
  in
haftmann@24589
   429
    (Pretty.writeln o Pretty.chunks o separate (Pretty.str "")
haftmann@24589
   430
      o map mk_entry o Sorts.all_classes) algebra
haftmann@24218
   431
  end;
haftmann@24218
   432
haftmann@24218
   433
haftmann@24218
   434
(* updaters *)
haftmann@24218
   435
haftmann@24589
   436
fun add_class_data ((class, superclasses), (locale, consts, v, inst, intro)) =
haftmann@24218
   437
  ClassData.map (fn (gr, tab) => (
haftmann@24218
   438
    gr
haftmann@24657
   439
    |> Graph.new_node (class, mk_class_data ((locale, (map o apfst) fst consts, v, inst, intro),
haftmann@24657
   440
         ([], map (apsnd (rpair (class, 0) o Free) o swap) consts)))
haftmann@24218
   441
    |> fold (curry Graph.add_edge class) superclasses,
haftmann@24218
   442
    tab
haftmann@24218
   443
    |> Symtab.update (locale, class)
haftmann@24218
   444
  ));
haftmann@24218
   445
haftmann@24657
   446
fun add_class_const_def (class, (entry, def)) =
haftmann@24657
   447
  (ClassData.map o apfst o Graph.map_node class o map_class_data o apsnd)
haftmann@24657
   448
    (fn (defs, localized) => (def :: defs, (apsnd o apsnd) (pair class) entry :: localized));
haftmann@24218
   449
haftmann@24589
   450
haftmann@24589
   451
(** rule calculation, tactics and methods **)
haftmann@24589
   452
haftmann@24589
   453
fun class_intro thy locale class sups =
haftmann@24589
   454
  let
haftmann@24589
   455
    fun class_elim class =
haftmann@24589
   456
      case (map Drule.unconstrainTs o #axioms o AxClass.get_definition thy) class
haftmann@24589
   457
       of [thm] => SOME thm
haftmann@24589
   458
        | [] => NONE;
haftmann@24589
   459
    val pred_intro = case Locale.intros thy locale
haftmann@24589
   460
     of ([ax_intro], [intro]) => intro |> OF_LAST ax_intro |> SOME
haftmann@24589
   461
      | ([intro], []) => SOME intro
haftmann@24589
   462
      | ([], [intro]) => SOME intro
haftmann@24589
   463
      | _ => NONE;
haftmann@24589
   464
    val pred_intro' = pred_intro
haftmann@24589
   465
      |> Option.map (fn intro => intro OF map_filter class_elim sups);
haftmann@24589
   466
    val class_intro = (#intro o AxClass.get_definition thy) class;
haftmann@24589
   467
    val raw_intro = case pred_intro'
haftmann@24589
   468
     of SOME pred_intro => class_intro |> OF_LAST pred_intro
haftmann@24589
   469
      | NONE => class_intro;
haftmann@24589
   470
    val sort = Sign.super_classes thy class;
haftmann@24589
   471
    val typ = TVar ((AxClass.param_tyvarname, 0), sort);
haftmann@24589
   472
    val defs = these_defs thy sups;
haftmann@24589
   473
  in
haftmann@24589
   474
    raw_intro
haftmann@24589
   475
    |> Drule.instantiate' [SOME (Thm.ctyp_of thy typ)] []
haftmann@24589
   476
    |> strip_all_ofclass thy sort
haftmann@24589
   477
    |> Thm.strip_shyps
haftmann@24589
   478
    |> MetaSimplifier.rewrite_rule defs
haftmann@24589
   479
    |> Drule.unconstrainTs
haftmann@24589
   480
  end;
haftmann@24589
   481
haftmann@24589
   482
fun class_interpretation class facts defs thy =
haftmann@24589
   483
  let
haftmann@24657
   484
    val { locale, inst, ... } = the_class_data thy class;
haftmann@24589
   485
    val tac = (ALLGOALS o ProofContext.fact_tac) facts;
haftmann@24589
   486
    val prfx = Logic.const_of_class (NameSpace.base class);
haftmann@24589
   487
  in
haftmann@24589
   488
    prove_interpretation tac ((false, prfx), []) (Locale.Locale locale)
haftmann@24589
   489
      (inst, defs) thy
haftmann@24589
   490
  end;
haftmann@24589
   491
haftmann@24589
   492
fun interpretation_in_rule thy (class1, class2) =
haftmann@24589
   493
  let
haftmann@24589
   494
    fun mk_axioms class =
haftmann@24589
   495
      let
haftmann@24657
   496
        val { locale, inst = (_, insttab), ... } = the_class_data thy class;
haftmann@24589
   497
      in
haftmann@24589
   498
        Locale.global_asms_of thy locale
haftmann@24589
   499
        |> maps snd
haftmann@24589
   500
        |> (map o map_aterms) (fn Free (s, _) => (the o Symtab.lookup insttab) s | t => t)
haftmann@24589
   501
        |> (map o map_types o map_atyps) (fn TFree _ => TFree ("'a", [class1]) | T => T)
haftmann@24589
   502
        |> map (ObjectLogic.ensure_propT thy)
haftmann@24589
   503
      end;
haftmann@24589
   504
    val (prems, concls) = pairself mk_axioms (class1, class2);
haftmann@24589
   505
  in
haftmann@24589
   506
    Goal.prove_global thy [] prems (Logic.mk_conjunction_list concls)
haftmann@24589
   507
      (Locale.intro_locales_tac true (ProofContext.init thy))
haftmann@24589
   508
  end;
haftmann@24218
   509
haftmann@24218
   510
fun intro_classes_tac facts st =
haftmann@24218
   511
  let
haftmann@24218
   512
    val thy = Thm.theory_of_thm st;
haftmann@24218
   513
    val classes = Sign.all_classes thy;
haftmann@24218
   514
    val class_trivs = map (Thm.class_triv thy) classes;
haftmann@24218
   515
    val class_intros = these_intros thy;
haftmann@24218
   516
    fun add_axclass_intro class =
haftmann@24218
   517
      case try (AxClass.get_definition thy) class of SOME {intro, ...} => cons intro | _ => I;
haftmann@24218
   518
    val axclass_intros = fold add_axclass_intro classes [];
haftmann@24218
   519
  in
haftmann@24218
   520
    st
haftmann@24218
   521
    |> ((ALLGOALS (Method.insert_tac facts THEN'
haftmann@24218
   522
          REPEAT_ALL_NEW (resolve_tac (class_trivs @ class_intros @ axclass_intros))))
haftmann@24218
   523
            THEN Tactic.distinct_subgoals_tac)
haftmann@24218
   524
  end;
haftmann@24218
   525
haftmann@24218
   526
fun default_intro_classes_tac [] = intro_classes_tac []
haftmann@24218
   527
  | default_intro_classes_tac _ = Tactical.no_tac;    (*no error message!*)
haftmann@24218
   528
haftmann@24218
   529
fun default_tac rules ctxt facts =
haftmann@24218
   530
  HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE
haftmann@24218
   531
    default_intro_classes_tac facts;
haftmann@24218
   532
haftmann@24218
   533
val _ = Context.add_setup (Method.add_methods
haftmann@24218
   534
 [("intro_classes", Method.no_args (Method.METHOD intro_classes_tac),
haftmann@24218
   535
    "back-chain introduction rules of classes"),
haftmann@24218
   536
  ("default", Method.thms_ctxt_args (Method.METHOD oo default_tac),
haftmann@24218
   537
    "apply some intro/elim rule")]);
haftmann@24218
   538
haftmann@24218
   539
haftmann@24589
   540
(** classes and class target **)
haftmann@24218
   541
haftmann@24589
   542
(* class definition *)
haftmann@24218
   543
haftmann@24218
   544
local
haftmann@24218
   545
wenzelm@24707
   546
fun read_param thy raw_t =  (* FIXME ProofContext.read_const (!?) *)
haftmann@24218
   547
  let
wenzelm@24707
   548
    val t = Syntax.read_term_global thy raw_t
haftmann@24218
   549
  in case try dest_Const t
haftmann@24218
   550
   of SOME (c, _) => c
haftmann@24218
   551
    | NONE => error ("Not a constant: " ^ Sign.string_of_term thy t)
haftmann@24218
   552
  end;
haftmann@24218
   553
haftmann@24218
   554
fun gen_class add_locale prep_class prep_param bname
haftmann@24218
   555
    raw_supclasses raw_elems raw_other_consts thy =
haftmann@24218
   556
  let
haftmann@24589
   557
    fun mk_instT class = Symtab.empty
haftmann@24589
   558
      |> Symtab.update (AxClass.param_tyvarname, TFree (AxClass.param_tyvarname, [class]));
haftmann@24589
   559
    fun mk_inst class param_names cs =
haftmann@24589
   560
      Symtab.empty
haftmann@24589
   561
      |> fold2 (fn v => fn (c, ty) => Symtab.update (v, Const
haftmann@24589
   562
           (c, Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty))) param_names cs;
haftmann@24218
   563
    (*FIXME need proper concept for reading locale statements*)
haftmann@24218
   564
    fun subst_classtyvar (_, _) =
haftmann@24218
   565
          TFree (AxClass.param_tyvarname, [])
haftmann@24218
   566
      | subst_classtyvar (v, sort) =
haftmann@24589
   567
          error ("Sort constraint illegal in type class, for type variable "
haftmann@24589
   568
            ^ v ^ "::" ^ Sign.string_of_sort thy sort);
haftmann@24218
   569
    (*val subst_classtyvars = Element.map_ctxt {name = I, var = I, term = I,
haftmann@24218
   570
      typ = Term.map_type_tfree subst_classtyvar, fact = I, attrib = I};*)
haftmann@24218
   571
    val other_consts = map (prep_param thy) raw_other_consts;
haftmann@24218
   572
    val (elems, includes) = fold_rev (fn Locale.Elem e => apfst (cons e)
haftmann@24218
   573
      | Locale.Expr i => apsnd (cons i)) raw_elems ([], []);
haftmann@24218
   574
    val supclasses = map (prep_class thy) raw_supclasses;
haftmann@24218
   575
    val sups = filter (is_some o lookup_class_data thy) supclasses
wenzelm@24731
   576
      |> Sign.minimize_sort thy;
wenzelm@24731
   577
    val supsort = Sign.minimize_sort thy supclasses;
haftmann@24657
   578
    val suplocales = map (Locale.Locale o #locale o the_class_data thy) sups;
haftmann@24218
   579
    val supexpr = Locale.Merge (suplocales @ includes);
haftmann@24218
   580
    val supparams = (map fst o Locale.parameters_of_expr thy)
haftmann@24218
   581
      (Locale.Merge suplocales);
haftmann@24435
   582
    val supconsts = AList.make (the o AList.lookup (op =) (params_of_sort thy sups))
haftmann@24218
   583
      (map fst supparams);
haftmann@24218
   584
    (*val elems_constrains = map
haftmann@24218
   585
      (Element.Constrains o apsnd (Term.map_type_tfree subst_classtyvar)) supparams;*)
haftmann@24218
   586
    fun mk_tyvar (_, sort) = TFree (AxClass.param_tyvarname,
haftmann@24218
   587
      if Sign.subsort thy (supsort, sort) then sort else error
haftmann@24218
   588
        ("Sort " ^ Sign.string_of_sort thy sort
haftmann@24218
   589
          ^ " is less general than permitted least general sort "
haftmann@24218
   590
          ^ Sign.string_of_sort thy supsort));
haftmann@24218
   591
    fun extract_params thy name_locale =
haftmann@24218
   592
      let
haftmann@24218
   593
        val params = Locale.parameters_of thy name_locale;
haftmann@24218
   594
        val v = case (maps typ_tfrees o map (snd o fst)) params
haftmann@24657
   595
         of (v, _) :: _ => v
haftmann@24657
   596
          | [] => AxClass.param_tyvarname;
haftmann@24218
   597
      in
haftmann@24657
   598
        (v, (map fst params, params
haftmann@24218
   599
        |> (map o apfst o apsnd o Term.map_type_tfree) mk_tyvar
haftmann@24218
   600
        |> (map o apsnd) (fork_mixfix true NONE #> fst)
haftmann@24218
   601
        |> chop (length supconsts)
haftmann@24218
   602
        |> snd))
haftmann@24218
   603
      end;
haftmann@24218
   604
    fun extract_assumes name_locale params thy cs =
haftmann@24218
   605
      let
haftmann@24218
   606
        val consts = supconsts @ (map (fst o fst) params ~~ cs);
haftmann@24218
   607
        fun subst (Free (c, ty)) =
haftmann@24218
   608
              Const ((fst o the o AList.lookup (op =) consts) c, ty)
haftmann@24218
   609
          | subst t = t;
haftmann@24218
   610
        fun prep_asm ((name, atts), ts) =
haftmann@24218
   611
          ((NameSpace.base name, map (Attrib.attribute thy) atts),
haftmann@24589
   612
            (map o map_aterms) subst ts);
haftmann@24218
   613
      in
haftmann@24218
   614
        Locale.global_asms_of thy name_locale
haftmann@24218
   615
        |> map prep_asm
haftmann@24218
   616
      end;
haftmann@24218
   617
    fun note_intro name_axclass class_intro =
haftmann@24218
   618
      PureThy.note_thmss_qualified "" ((Logic.const_of_class o NameSpace.base) name_axclass)
haftmann@24218
   619
        [(("intro", []), [([class_intro], [])])]
haftmann@24218
   620
      #> snd
haftmann@24218
   621
  in
haftmann@24218
   622
    thy
haftmann@24218
   623
    |> add_locale (SOME "") bname supexpr ((*elems_constrains @*) elems)
haftmann@24218
   624
    |-> (fn name_locale => ProofContext.theory_result (
haftmann@24218
   625
      `(fn thy => extract_params thy name_locale)
haftmann@24657
   626
      #-> (fn (v, (globals, params)) =>
haftmann@24589
   627
        AxClass.define_class_params (bname, supsort) params
haftmann@24589
   628
          (extract_assumes name_locale params) other_consts
haftmann@24589
   629
      #-> (fn (name_axclass, (consts, axioms)) =>
haftmann@24218
   630
        `(fn thy => class_intro thy name_locale name_axclass sups)
haftmann@24218
   631
      #-> (fn class_intro =>
haftmann@24218
   632
        add_class_data ((name_axclass, sups),
haftmann@24657
   633
          (name_locale, map fst params ~~ map fst consts, v,
haftmann@24657
   634
            (mk_instT name_axclass, mk_inst name_axclass (map fst globals)
haftmann@24589
   635
              (map snd supconsts @ consts)), class_intro))
haftmann@24218
   636
      #> note_intro name_axclass class_intro
haftmann@24589
   637
      #> class_interpretation name_axclass axioms []
haftmann@24218
   638
      #> pair name_axclass
haftmann@24218
   639
      )))))
haftmann@24218
   640
  end;
haftmann@24218
   641
haftmann@24218
   642
in
haftmann@24218
   643
haftmann@24218
   644
val class_cmd = gen_class Locale.add_locale Sign.intern_class read_param;
haftmann@24218
   645
val class = gen_class Locale.add_locale_i Sign.certify_class (K I);
haftmann@24218
   646
haftmann@24218
   647
end; (*local*)
haftmann@24218
   648
haftmann@24218
   649
haftmann@24657
   650
(* class target context *)
haftmann@24657
   651
haftmann@24657
   652
fun remove_constraints class thy =
haftmann@24657
   653
  thy |> fold_map (get_remove_contraint o fst) (these_localized thy class);
haftmann@24657
   654
haftmann@24657
   655
haftmann@24589
   656
(* definition in class target *)
haftmann@24218
   657
haftmann@24218
   658
fun export_fixes thy class =
haftmann@24218
   659
  let
haftmann@24435
   660
    val consts = params_of_sort thy [class];
haftmann@24218
   661
    fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) consts v
haftmann@24218
   662
         of SOME (c, _) => Const (c, ty)
haftmann@24218
   663
          | NONE => t)
haftmann@24218
   664
      | subst_aterm t = t;
haftmann@24657
   665
  in Term.map_aterms subst_aterm end;
haftmann@24218
   666
haftmann@24218
   667
fun add_const_in_class class ((c, rhs), syn) thy =
haftmann@24218
   668
  let
haftmann@24218
   669
    val prfx = (Logic.const_of_class o NameSpace.base) class;
haftmann@24657
   670
    fun mk_name c =
haftmann@24218
   671
      let
haftmann@24218
   672
        val n1 = Sign.full_name thy c;
haftmann@24218
   673
        val n2 = NameSpace.qualifier n1;
haftmann@24218
   674
        val n3 = NameSpace.base n1;
haftmann@24657
   675
      in NameSpace.implode [n2, prfx, n3] end;
haftmann@24657
   676
    val v = (#v o the_class_data thy) class;
haftmann@24657
   677
    val constrain_sort = curry (Sorts.inter_sort (Sign.classes_of thy)) [class];
haftmann@24657
   678
    val subst_typ = Term.map_type_tfree (fn var as (w, sort) =>
haftmann@24657
   679
      if w = v then TFree (w, constrain_sort sort) else TFree var);
haftmann@24218
   680
    val rhs' = export_fixes thy class rhs;
haftmann@24218
   681
    val ty' = Term.fastype_of rhs';
haftmann@24657
   682
    val ty'' = subst_typ ty';
haftmann@24657
   683
    val c' = mk_name c;
haftmann@24657
   684
    val def = (c, Logic.mk_equals (Const (c', ty'), rhs'));
haftmann@24218
   685
    val (syn', _) = fork_mixfix true NONE syn;
haftmann@24657
   686
    fun interpret def thy =
haftmann@24218
   687
      let
haftmann@24589
   688
        val def' = symmetric def;
haftmann@24218
   689
        val def_eq = Thm.prop_of def';
haftmann@24657
   690
        val typargs = Sign.const_typargs thy (c', fastype_of rhs);
haftmann@24657
   691
        val typidx = find_index (fn TFree (w, _) => v = w | _ => false) typargs;
haftmann@24218
   692
      in
haftmann@24657
   693
        thy
haftmann@24657
   694
        |> class_interpretation class [def'] [def_eq]
haftmann@24657
   695
        |> add_class_const_def (class, ((c', (rhs, typidx)), def'))
haftmann@24218
   696
      end;
haftmann@24218
   697
  in
haftmann@24218
   698
    thy
haftmann@24218
   699
    |> Sign.add_path prfx
haftmann@24218
   700
    |> Sign.add_consts_authentic [(c, ty', syn')]
haftmann@24218
   701
    |> Sign.parent_path
haftmann@24218
   702
    |> Sign.sticky_prefix prfx
haftmann@24218
   703
    |> PureThy.add_defs_i false [(def, [])]
haftmann@24218
   704
    |-> (fn [def] => interpret def)
haftmann@24657
   705
    |> Sign.add_const_constraint_i (c', SOME ty'')
haftmann@24218
   706
    |> Sign.restore_naming thy
haftmann@24218
   707
  end;
haftmann@24218
   708
haftmann@24589
   709
haftmann@24589
   710
(* interpretation in class target *)
haftmann@24589
   711
haftmann@24589
   712
local
haftmann@24589
   713
haftmann@24589
   714
fun gen_interpretation_in_class prep_class do_proof (raw_class, raw_superclass) theory =
haftmann@24589
   715
  let
haftmann@24589
   716
    val class = prep_class theory raw_class;
haftmann@24589
   717
    val superclass = prep_class theory raw_superclass;
haftmann@24657
   718
    val loc_name = (#locale o the_class_data theory) class;
haftmann@24657
   719
    val loc_expr = (Locale.Locale o #locale o the_class_data theory) superclass;
haftmann@24589
   720
    fun prove_classrel (class, superclass) thy =
haftmann@24589
   721
      let
wenzelm@24731
   722
        val classes = Sign.complete_sort thy [superclass]
haftmann@24589
   723
          |> filter_out (fn class' => Sign.subsort thy ([class], [class']));
haftmann@24589
   724
        fun instance_subclass (class1, class2) thy  =
haftmann@24589
   725
          let
haftmann@24589
   726
            val interp = interpretation_in_rule thy (class1, class2);
haftmann@24589
   727
            val ax = #axioms (AxClass.get_definition thy class1);
haftmann@24589
   728
            val intro = #intro (AxClass.get_definition thy class2)
haftmann@24589
   729
              |> Drule.instantiate' [SOME (Thm.ctyp_of thy
haftmann@24589
   730
                  (TVar ((AxClass.param_tyvarname, 0), [class1])))] [];
wenzelm@24731
   731
            val thm =
haftmann@24589
   732
              intro
haftmann@24589
   733
              |> OF_LAST (interp OF ax)
haftmann@24589
   734
              |> strip_all_ofclass thy (Sign.super_classes thy class2);
haftmann@24589
   735
          in
haftmann@24589
   736
            thy |> AxClass.add_classrel thm
haftmann@24589
   737
          end;
haftmann@24589
   738
      in
haftmann@24589
   739
        thy |> fold_rev (curry instance_subclass class) classes
haftmann@24589
   740
      end;
haftmann@24589
   741
  in
haftmann@24589
   742
    theory
haftmann@24589
   743
    |> do_proof (prove_classrel (class, superclass)) (loc_name, loc_expr)
haftmann@24589
   744
  end;
haftmann@24589
   745
haftmann@24589
   746
in
haftmann@24589
   747
haftmann@24589
   748
val interpretation_in_class = gen_interpretation_in_class Sign.certify_class
haftmann@24589
   749
  (Locale.interpretation_in_locale o ProofContext.theory);
haftmann@24589
   750
val interpretation_in_class_cmd = gen_interpretation_in_class Sign.read_class
haftmann@24589
   751
  (Locale.interpretation_in_locale o ProofContext.theory);
haftmann@24589
   752
val prove_interpretation_in_class = gen_interpretation_in_class Sign.certify_class
haftmann@24589
   753
  o prove_interpretation_in;
haftmann@24589
   754
haftmann@24589
   755
end; (*local*)
haftmann@24589
   756
haftmann@24657
   757
(*experimental*)
haftmann@24657
   758
fun class_term_check thy class =
haftmann@24657
   759
  let
haftmann@24657
   760
    val algebra = Sign.classes_of thy;
haftmann@24657
   761
    val { v, ... } = the_class_data thy class;
haftmann@24657
   762
    fun add_constrain_classtyp sort' (ty as TFree (v, _)) =
haftmann@24657
   763
          AList.map_default (op =) (v, []) (curry (Sorts.inter_sort algebra) sort')
haftmann@24657
   764
      | add_constrain_classtyp sort' (Type (tyco, tys)) = case Sorts.mg_domain algebra tyco sort'
haftmann@24657
   765
         of sorts => fold2 add_constrain_classtyp sorts tys;
haftmann@24657
   766
    fun class_arg c idx ty =
haftmann@24657
   767
      let
haftmann@24657
   768
        val typargs = Sign.const_typargs thy (c, ty);
haftmann@24657
   769
        fun classtyp (t as TFree (w, _)) = if w = v then NONE else SOME t
haftmann@24657
   770
          | classtyp t = SOME t;
haftmann@24657
   771
      in classtyp (nth typargs idx) end;
haftmann@24657
   772
    fun add_inst (c, ty) (terminsts, typinsts) = case local_param thy class c
haftmann@24657
   773
     of NONE => (terminsts, typinsts)
haftmann@24657
   774
      | SOME (t, (class', idx)) => (case class_arg c idx ty
haftmann@24657
   775
         of NONE => (((c, ty), t) :: terminsts, typinsts)
haftmann@24657
   776
          | SOME ty => (terminsts, add_constrain_classtyp [class'] ty typinsts));
haftmann@24657
   777
  in pair o (fn ts => let
haftmann@24657
   778
    val cs = (fold o fold_aterms) (fn Const c_ty => insert (op =) c_ty | _ => I) ts [];
haftmann@24657
   779
    val (terminsts, typinsts) = fold add_inst cs ([], []);
haftmann@24657
   780
  in
haftmann@24657
   781
    ts
haftmann@24657
   782
    |> (map o map_aterms) (fn t as Const c_ty => the_default t (AList.lookup (op =) terminsts c_ty)
haftmann@24657
   783
         | t => t)
haftmann@24657
   784
    |> (map o map_types o map_atyps) (fn t as TFree (v, sort) =>
haftmann@24657
   785
         case AList.lookup (op =) typinsts v
haftmann@24657
   786
          of SOME sort' => TFree (v, Sorts.inter_sort algebra (sort, sort'))
haftmann@24657
   787
           | NONE => t)
haftmann@24657
   788
  end) end;
haftmann@24657
   789
haftmann@24657
   790
val init_ref = ref (K (pair I) : class -> Proof.context -> (theory -> theory) * Proof.context);
haftmann@24657
   791
fun init class = ! init_ref class;
haftmann@24657
   792
haftmann@24657
   793
fun init_default class ctxt =
haftmann@24657
   794
  let
haftmann@24657
   795
    val thy = ProofContext.theory_of ctxt;
haftmann@24657
   796
    val term_check = class_term_check thy class;
haftmann@24657
   797
  in
haftmann@24657
   798
    ctxt
haftmann@24657
   799
    (*|> ProofContext.theory_result (remove_constraints class)*)
haftmann@24657
   800
    |> Context.proof_map (Syntax.add_term_check term_check)
haftmann@24657
   801
    (*|>> fold (fn (c, ty) => Sign.add_const_constraint_i (c, SOME ty))*)
haftmann@24657
   802
    |> pair I
haftmann@24657
   803
  end;
haftmann@24657
   804
haftmann@24218
   805
end;