src/Pure/Isar/class.ML
author haftmann
Thu Apr 10 00:46:38 2008 +0200 (2008-04-10 ago)
changeset 26596 07d7d0a6d5fd
parent 26518 3db6a46d8460
child 26628 63306cb94313
permissions -rw-r--r--
check validity of class target improvement
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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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  (*classes*)
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  val class: bstring -> class list -> Element.context_i list
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    -> theory -> string * Proof.context
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  val class_cmd: bstring -> xstring list -> Element.context list
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    -> theory -> string * Proof.context
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  val init: class -> theory -> Proof.context
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  val declare: string -> Markup.property list
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    -> (string * mixfix) * term -> theory -> theory
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  val abbrev: string -> Syntax.mode -> Markup.property list
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    -> (string * mixfix) * term -> theory -> theory
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  val refresh_syntax: class -> Proof.context -> Proof.context
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  val intro_classes_tac: thm list -> tactic
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  val default_intro_tac: Proof.context -> thm list -> tactic
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  val prove_subclass: class * class -> thm -> theory -> theory
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  val class_prefix: string -> string
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  val is_class: theory -> class -> bool
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  val these_params: theory -> sort -> (string * (class * (string * typ))) list
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  val print_classes: theory -> unit
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  (*instances*)
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  val init_instantiation: string list * (string * sort) list * sort
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    -> theory -> local_theory
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  val instantiation_instance: (local_theory -> local_theory)
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    -> local_theory -> Proof.state
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  val prove_instantiation_instance: (Proof.context -> tactic)
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    -> local_theory -> local_theory
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  val conclude_instantiation: local_theory -> local_theory
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  val instantiation_param: local_theory -> string -> string option
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  val confirm_declaration: string -> local_theory -> local_theory
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  val pretty_instantiation: local_theory -> Pretty.T
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  val type_name: string -> string
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  (*old axclass layer*)
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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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  (*old instance layer*)
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  val instance_arity: (theory -> theory) -> arity -> theory -> Proof.state
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  val instance_arity_cmd: bstring * xstring list * xstring -> theory -> Proof.state
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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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val classN = "class";
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val introN = "intro";
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fun prove_interpretation tac prfx_atts expr inst =
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  Locale.interpretation_i I prfx_atts expr inst
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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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(** primitive axclass and instance commands **)
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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 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 instance_arity_cmd =
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  gen_instance (Logic.mk_arities oo Sign.read_arity) AxClass.add_arity I;
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val classrel =
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  gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel)) AxClass.add_classrel I;
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val classrel_cmd =
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  gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel)) AxClass.add_classrel I;
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end; (*local*)
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(** class data **)
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datatype class_data = ClassData of {
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  consts: (string * string) list
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    (*locale parameter ~> constant name*),
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  base_sort: sort,
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  inst: term option list
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    (*canonical interpretation*),
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  morphism: theory -> thm list -> morphism,
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    (*partial morphism of canonical interpretation*)
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  assm_intro: thm option,
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  of_class: thm,
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  axiom: thm option,
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  defs: thm list,
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  operations: (string * (class * (typ * term))) list
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};
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fun rep_class_data (ClassData d) = d;
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fun mk_class_data ((consts, base_sort, inst, morphism, assm_intro, of_class, axiom),
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    (defs, operations)) =
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  ClassData { consts = consts, base_sort = base_sort, inst = inst,
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    morphism = morphism, assm_intro = assm_intro, of_class = of_class, axiom = axiom,
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    defs = defs, operations = operations };
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fun map_class_data f (ClassData { consts, base_sort, inst, morphism,
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    assm_intro, of_class, axiom, defs, operations }) =
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  mk_class_data (f ((consts, base_sort, inst, morphism, assm_intro, of_class, axiom),
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    (defs, operations)));
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fun merge_class_data _ (ClassData { consts = consts,
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    base_sort = base_sort, inst = inst, morphism = morphism, assm_intro = assm_intro,
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    of_class = of_class, axiom = axiom, defs = defs1, operations = operations1 },
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  ClassData { consts = _, base_sort = _, inst = _, morphism = _, assm_intro = _,
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    of_class = _, axiom = _, defs = defs2, operations = operations2 }) =
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  mk_class_data ((consts, base_sort, inst, morphism, assm_intro, of_class, axiom),
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    (Thm.merge_thms (defs1, defs2),
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      AList.merge (op =) (K true) (operations1, operations2)));
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structure ClassData = TheoryDataFun
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(
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  type T = class_data Graph.T
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  val empty = Graph.empty;
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  val copy = I;
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  val extend = I;
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  fun merge _ = Graph.join merge_class_data;
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);
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(* queries *)
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val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node o ClassData.get;
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fun the_class_data thy class = case lookup_class_data thy class
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 of NONE => error ("Undeclared class " ^ quote class)
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  | SOME data => data;
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val is_class = is_some oo lookup_class_data;
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val ancestry = Graph.all_succs o ClassData.get;
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fun these_params thy =
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  let
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    fun params class =
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      let
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        val const_typs = (#params o AxClass.get_info thy) class;
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        val const_names = (#consts o the_class_data thy) class;
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      in
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        (map o apsnd)
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          (fn c => (class, (c, (the o AList.lookup (op =) const_typs) c))) const_names
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      end;
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  in maps params o ancestry thy end;
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fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy;
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fun partial_morphism thy class = #morphism (the_class_data thy class) thy [];
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fun morphism thy class = #morphism (the_class_data thy class) thy (these_defs thy [class]);
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fun these_assm_intros thy =
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  Graph.fold (fn (_, (data, _)) => fold (insert Thm.eq_thm)
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    ((the_list o #assm_intro o rep_class_data) data)) (ClassData.get thy) [];
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fun these_operations thy =
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  maps (#operations o the_class_data thy) o ancestry thy;
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fun print_classes thy =
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  let
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    val ctxt = ProofContext.init thy;
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    val algebra = Sign.classes_of thy;
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    val arities =
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      Symtab.empty
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      |> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) =>
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           Symtab.map_default (class, []) (insert (op =) tyco)) arities)
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             ((#arities o Sorts.rep_algebra) algebra);
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    val the_arities = these o Symtab.lookup arities;
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    fun mk_arity class tyco =
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      let
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        val Ss = Sorts.mg_domain algebra tyco [class];
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      in Syntax.pretty_arity ctxt (tyco, Ss, [class]) end;
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    fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: "
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      ^ setmp show_sorts false (Syntax.string_of_typ ctxt o Type.strip_sorts) ty);
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    fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [
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      (SOME o Pretty.str) ("class " ^ Sign.extern_class thy class ^ ":"),
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      (SOME o Pretty.block) [Pretty.str "supersort: ",
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        (Syntax.pretty_sort ctxt o Sign.minimize_sort thy o Sign.super_classes thy) class],
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      if is_class thy class then (SOME o Pretty.str)
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        ("locale: " ^ Locale.extern thy class) else NONE,
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      ((fn [] => NONE | ps => (SOME o Pretty.block o Pretty.fbreaks)
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          (Pretty.str "parameters:" :: ps)) o map mk_param
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        o these o Option.map #params o try (AxClass.get_info thy)) class,
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      (SOME o Pretty.block o Pretty.breaks) [
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        Pretty.str "instances:",
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        Pretty.list "" "" (map (mk_arity class) (the_arities class))
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      ]
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    ]
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  in
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    (Pretty.writeln o Pretty.chunks o separate (Pretty.str "")
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      o map mk_entry o Sorts.all_classes) algebra
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  end;
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(* updaters *)
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fun add_class_data ((class, superclasses),
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    (params, base_sort, inst, phi, axiom, assm_intro, of_class)) thy =
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  let
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    val operations = map (fn (v_ty as (_, ty), (c, _)) =>
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      (c, (class, (ty, Free v_ty)))) params;
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    val add_class = Graph.new_node (class,
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        mk_class_data (((map o pairself) fst params, base_sort,
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          map (SOME o Const) inst, phi, assm_intro, of_class, axiom), ([], operations)))
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      #> fold (curry Graph.add_edge class) superclasses;
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  in ClassData.map add_class thy end;
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fun register_operation class (c, (t, some_def)) thy =
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  let
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    val base_sort = (#base_sort o the_class_data thy) class;
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    val prep_typ = map_type_tvar
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      (fn (vi as (v, _), sort) => if Name.aT = v
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        then TFree (v, base_sort) else TVar (vi, sort));
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    val t' = map_types prep_typ t;
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    val ty' = Term.fastype_of t';
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  in
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    thy
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    |> (ClassData.map o Graph.map_node class o map_class_data o apsnd)
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      (fn (defs, operations) =>
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        (fold cons (the_list some_def) defs,
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          (c, (class, (ty', t'))) :: operations))
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  end;
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(** rule calculation, tactics and methods **)
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val class_prefix = Logic.const_of_class o Sign.base_name;
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fun calculate sups base_sort assm_axiom param_map class thy =
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  let
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    (*static parts of morphism*)
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    val subst_typ = map_type_tfree (fn (v, sort) =>
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          if v = Name.aT then TVar ((v, 0), [class]) else TVar ((v, 0), sort));
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    fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) param_map v
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         of SOME (c, _) => Const (c, ty)
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          | NONE => t)
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      | subst_aterm t = t;
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    fun instantiate thy sort = Thm.instantiate ([pairself (Thm.ctyp_of thy o TVar o pair (Name.aT, 0))
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      (base_sort, sort)], map (fn (v, (c, ty)) => pairself (Thm.cterm_of thy)
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        (Var ((v, 0), map_atyps (fn _ => TVar ((Name.aT, 0), sort)) ty),
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          Const (c, map_atyps (fn _ => TVar ((Name.aT, 0), sort)) ty))) param_map);
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    val instantiate_base_sort = instantiate thy base_sort;
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    val instantiate_class = instantiate thy [class];
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    val (proto_assm_intro, locale_intro) = Locale.intros thy class
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      |> pairself (try the_single);
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    val axiom_premises = map_filter (#axiom o the_class_data thy) sups
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      @ the_list assm_axiom;
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    val axiom = locale_intro
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      |> Option.map (Drule.standard o (fn thm => thm OF axiom_premises) o instantiate_class)
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      |> (fn x as SOME _ => x | NONE => assm_axiom);
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    val lift_axiom = case axiom
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     of SOME axiom => (fn thm => Thm.implies_elim thm axiom)
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      | NONE => I;
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    (*dynamic parts of morphism*)
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    fun rew_term thy defs = Pattern.rewrite_term thy
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      (map (Logic.dest_equals o Thm.prop_of) defs) [];
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    fun subst_term thy defs = map_aterms subst_aterm #> rew_term thy defs
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      #> map_types subst_typ;
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    fun subst_thm defs = Drule.standard' #> instantiate_class #> lift_axiom
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      #> MetaSimplifier.rewrite_rule defs;
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    fun morphism thy defs =
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      Morphism.typ_morphism subst_typ
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      $> Morphism.term_morphism (subst_term thy defs)
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      $> Morphism.thm_morphism (subst_thm defs);
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    (*class rules*)
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    val defs = these_defs thy sups;
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    val assm_intro = proto_assm_intro
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      |> Option.map instantiate_base_sort
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      |> Option.map (MetaSimplifier.rewrite_rule defs)
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      |> Option.map Goal.close_result;
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    val class_intro = (#intro o AxClass.get_info thy) class;
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    val fixate = Thm.instantiate
haftmann@25711
   320
      (map (pairself (Thm.ctyp_of thy)) [(TVar ((Name.aT, 0), []), TFree (Name.aT, base_sort)),
haftmann@25711
   321
        (TVar ((Name.aT, 0), base_sort), TFree (Name.aT, base_sort))], [])
haftmann@25618
   322
    val of_class_sups = if null sups
haftmann@25711
   323
      then map (fixate o Thm.class_triv thy) base_sort
haftmann@25711
   324
      else map (fixate o #of_class o the_class_data thy) sups;
haftmann@25683
   325
    val locale_dests = map Drule.standard' (Locale.dests thy class);
haftmann@25711
   326
    val num_trivs = case length locale_dests
haftmann@25711
   327
     of 0 => if is_none axiom then 0 else 1
haftmann@25711
   328
      | n => n;
haftmann@25711
   329
    val pred_trivs = if num_trivs = 0 then []
haftmann@25711
   330
      else the axiom
haftmann@25711
   331
        |> Thm.prop_of
haftmann@25711
   332
        |> (map_types o map_atyps o K) (TFree (Name.aT, base_sort))
haftmann@25711
   333
        |> (Thm.assume o Thm.cterm_of thy)
haftmann@25711
   334
        |> replicate num_trivs;
haftmann@26247
   335
    val of_class = (fixate class_intro OF of_class_sups OF locale_dests OF pred_trivs)
haftmann@25711
   336
      |> Drule.standard'
haftmann@25668
   337
      |> Goal.close_result;
haftmann@26247
   338
    val this_intro = assm_intro |> the_default class_intro;
haftmann@26247
   339
  in
haftmann@26247
   340
    thy
haftmann@26247
   341
    |> Sign.sticky_prefix (class_prefix class ^ "_" ^ AxClass.axiomsN)
haftmann@26247
   342
    |> PureThy.note Thm.internalK (AxClass.introN, this_intro)
haftmann@26247
   343
    |> snd
haftmann@26247
   344
    |> Sign.restore_naming thy
haftmann@26247
   345
    |> pair (morphism, axiom, assm_intro, of_class)
haftmann@26247
   346
  end;
haftmann@24589
   347
haftmann@24589
   348
fun class_interpretation class facts defs thy =
haftmann@24589
   349
  let
haftmann@26518
   350
    val consts = map (apsnd fst o snd) (these_params thy [class]);
haftmann@26518
   351
    val constraints = map (fn (class, c) => map_atyps (K (TFree (Name.aT,
haftmann@26518
   352
      [class]))) (Sign.the_const_type thy c)) consts;
haftmann@26238
   353
    val no_constraints = map (map_atyps (K (TFree (Name.aT, [])))) constraints;
haftmann@26238
   354
    fun add_constraint c T = Sign.add_const_constraint (c, SOME T);
haftmann@25083
   355
    val inst = (#inst o the_class_data thy) class;
wenzelm@25020
   356
    val tac = ALLGOALS (ProofContext.fact_tac facts);
haftmann@25038
   357
    val prfx = class_prefix class;
haftmann@24589
   358
  in
haftmann@25038
   359
    thy
haftmann@26518
   360
    |> fold2 add_constraint (map snd consts) no_constraints
haftmann@26238
   361
    |> prove_interpretation tac ((false, prfx), []) (Locale.Locale class)
ballarin@25094
   362
          (inst, map (fn def => (("", []), def)) defs)
haftmann@26518
   363
    |> fold2 add_constraint (map snd consts) constraints
haftmann@24589
   364
  end;
haftmann@24218
   365
haftmann@25618
   366
fun prove_subclass (sub, sup) thm thy =
haftmann@25618
   367
  let
haftmann@25711
   368
    val of_class = (#of_class o the_class_data thy) sup;
haftmann@25683
   369
    val intro = Drule.standard' (of_class OF [Drule.standard' thm]);
haftmann@25618
   370
    val classrel = intro OF (the_list o #axiom o the_class_data thy) sub;
haftmann@25618
   371
  in
haftmann@25618
   372
    thy
haftmann@25618
   373
    |> AxClass.add_classrel classrel
haftmann@25618
   374
    |> prove_interpretation_in (ALLGOALS (ProofContext.fact_tac [thm]))
haftmann@25618
   375
         I (sub, Locale.Locale sup)
haftmann@25618
   376
    |> ClassData.map (Graph.add_edge (sub, sup))
haftmann@25618
   377
  end;
haftmann@25618
   378
haftmann@24218
   379
fun intro_classes_tac facts st =
haftmann@24218
   380
  let
haftmann@24218
   381
    val thy = Thm.theory_of_thm st;
haftmann@24218
   382
    val classes = Sign.all_classes thy;
haftmann@24218
   383
    val class_trivs = map (Thm.class_triv thy) classes;
haftmann@25618
   384
    val class_intros = map_filter (try (#intro o AxClass.get_info thy)) classes;
haftmann@25618
   385
    val assm_intros = these_assm_intros thy;
haftmann@24218
   386
  in
haftmann@25618
   387
    Method.intros_tac (class_trivs @ class_intros @ assm_intros) facts st
haftmann@24218
   388
  end;
haftmann@24218
   389
haftmann@26470
   390
fun default_intro_tac ctxt [] =
haftmann@26470
   391
      intro_classes_tac [] ORELSE Locale.intro_locales_tac true ctxt []
haftmann@26470
   392
  | default_intro_tac _ _ = no_tac;
haftmann@24218
   393
haftmann@24218
   394
fun default_tac rules ctxt facts =
haftmann@24218
   395
  HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE
haftmann@26470
   396
    default_intro_tac ctxt facts;
haftmann@24218
   397
wenzelm@26463
   398
val _ = Context.>> (Context.map_theory
wenzelm@26463
   399
  (Method.add_methods
wenzelm@26463
   400
   [("intro_classes", Method.no_args (Method.METHOD intro_classes_tac),
wenzelm@26463
   401
      "back-chain introduction rules of classes"),
wenzelm@26463
   402
    ("default", Method.thms_ctxt_args (Method.METHOD oo default_tac),
wenzelm@26463
   403
      "apply some intro/elim rule")]));
wenzelm@26463
   404
haftmann@24218
   405
haftmann@24218
   406
haftmann@24589
   407
(** classes and class target **)
haftmann@24218
   408
haftmann@25002
   409
(* class context syntax *)
haftmann@24748
   410
haftmann@26238
   411
fun synchronize_class_syntax sups base_sort ctxt =
haftmann@24914
   412
  let
wenzelm@25344
   413
    val thy = ProofContext.theory_of ctxt;
haftmann@26596
   414
    val algebra = Sign.classes_of thy;
haftmann@25083
   415
    val operations = these_operations thy sups;
haftmann@26518
   416
    fun subst_class_typ sort = map_type_tfree (K (TVar ((Name.aT, 0), sort)));
haftmann@26518
   417
    val primary_constraints =
haftmann@25368
   418
      (map o apsnd) (subst_class_typ base_sort o fst o snd) operations;
haftmann@26518
   419
    val secondary_constraints =
haftmann@25368
   420
      (map o apsnd) (fn (class, (ty, _)) => subst_class_typ [class] ty) operations;
wenzelm@25318
   421
    fun declare_const (c, _) =
wenzelm@25318
   422
      let val b = Sign.base_name c
wenzelm@25344
   423
      in Sign.intern_const thy b = c ? Variable.declare_const (b, c) end;
haftmann@26518
   424
    fun improve (c, ty) = (case AList.lookup (op =) primary_constraints c
haftmann@26238
   425
     of SOME ty' => (case try (Type.raw_match (ty', ty)) Vartab.empty
haftmann@26238
   426
         of SOME tyenv => (case Vartab.lookup tyenv (Name.aT, 0)
haftmann@26596
   427
             of SOME (_, ty' as TVar (tvar as (vi, sort))) =>
haftmann@26238
   428
                  if TypeInfer.is_param vi
haftmann@26596
   429
                    andalso Sorts.sort_le algebra (base_sort, sort)
haftmann@26596
   430
                      then SOME (ty', TFree (Name.aT, base_sort))
haftmann@26596
   431
                      else NONE
haftmann@26238
   432
              | _ => NONE)
haftmann@26238
   433
          | NONE => NONE)
haftmann@26238
   434
      | NONE => NONE)
haftmann@26238
   435
    fun subst (c, ty) = Option.map snd (AList.lookup (op =) operations c);
haftmann@25368
   436
    val unchecks = map (fn (c, (_, (ty, t))) => (t, Const (c, ty))) operations;
haftmann@25083
   437
  in
haftmann@25083
   438
    ctxt
haftmann@26518
   439
    |> fold declare_const primary_constraints
haftmann@26518
   440
    |> Overloading.map_improvable_syntax (K (((primary_constraints, secondary_constraints),
haftmann@26247
   441
        ((improve, subst), unchecks)), false))
haftmann@26518
   442
    |> Overloading.set_primary_constraints
haftmann@25083
   443
  end;
haftmann@25083
   444
haftmann@25083
   445
fun refresh_syntax class ctxt =
haftmann@25002
   446
  let
haftmann@25002
   447
    val thy = ProofContext.theory_of ctxt;
haftmann@25062
   448
    val base_sort = (#base_sort o the_class_data thy) class;
haftmann@26238
   449
  in synchronize_class_syntax [class] base_sort ctxt end;
haftmann@25002
   450
wenzelm@25344
   451
fun init_ctxt sups base_sort ctxt =
haftmann@25083
   452
  ctxt
haftmann@25083
   453
  |> Variable.declare_term
haftmann@25083
   454
      (Logic.mk_type (TFree (Name.aT, base_sort)))
haftmann@26238
   455
  |> synchronize_class_syntax sups base_sort
haftmann@26238
   456
  |> Overloading.add_improvable_syntax;
haftmann@24901
   457
haftmann@25311
   458
fun init class thy =
haftmann@25311
   459
  thy
haftmann@25311
   460
  |> Locale.init class
wenzelm@25344
   461
  |> init_ctxt [class] ((#base_sort o the_class_data thy) class);
haftmann@24914
   462
haftmann@24748
   463
haftmann@24589
   464
(* class definition *)
haftmann@24218
   465
haftmann@24218
   466
local
haftmann@24218
   467
haftmann@26247
   468
fun gen_class_spec prep_class process_expr thy raw_supclasses raw_elems =
haftmann@24218
   469
  let
haftmann@24748
   470
    val supclasses = map (prep_class thy) raw_supclasses;
haftmann@24748
   471
    val supsort = Sign.minimize_sort thy supclasses;
haftmann@25618
   472
    val sups = filter (is_class thy) supsort;
haftmann@25618
   473
    val base_sort = if null sups then supsort else
haftmann@26167
   474
      foldr1 (Sorts.inter_sort (Sign.classes_of thy))
haftmann@26167
   475
        (map (#base_sort o the_class_data thy) sups);
haftmann@25038
   476
    val suplocales = map Locale.Locale sups;
haftmann@24748
   477
    val supexpr = Locale.Merge suplocales;
haftmann@24748
   478
    val supparams = (map fst o Locale.parameters_of_expr thy) supexpr;
haftmann@26247
   479
    val mergeexpr = Locale.Merge (suplocales);
haftmann@24748
   480
    val constrain = Element.Constrains ((map o apsnd o map_atyps)
haftmann@26167
   481
      (K (TFree (Name.aT, base_sort))) supparams);
haftmann@25683
   482
    fun fork_syn (Element.Fixes xs) =
haftmann@25683
   483
          fold_map (fn (c, ty, syn) => cons (c, syn) #> pair (c, ty, NoSyn)) xs
haftmann@25683
   484
          #>> Element.Fixes
haftmann@25683
   485
      | fork_syn x = pair x;
haftmann@25683
   486
    fun fork_syntax elems =
haftmann@25683
   487
      let
haftmann@25683
   488
        val (elems', global_syntax) = fold_map fork_syn elems [];
haftmann@26247
   489
      in (constrain :: elems', global_syntax) end;
haftmann@25683
   490
    val (elems, global_syntax) =
haftmann@25683
   491
      ProofContext.init thy
haftmann@25683
   492
      |> Locale.cert_expr supexpr [constrain]
haftmann@25683
   493
      |> snd
haftmann@25683
   494
      |> init_ctxt sups base_sort
haftmann@25683
   495
      |> process_expr Locale.empty raw_elems
haftmann@25683
   496
      |> fst
haftmann@25683
   497
      |> fork_syntax
haftmann@25683
   498
  in (((sups, supparams), (supsort, base_sort, mergeexpr)), (elems, global_syntax)) end;
haftmann@24748
   499
haftmann@26247
   500
val read_class_spec = gen_class_spec Sign.intern_class Locale.read_expr;
haftmann@26247
   501
val check_class_spec = gen_class_spec (K I) Locale.cert_expr;
haftmann@24748
   502
haftmann@26518
   503
fun adjungate_axclass bname class base_sort sups supsort supparams global_syntax thy =
wenzelm@24968
   504
  let
haftmann@25683
   505
    val supconsts = map fst supparams
haftmann@26518
   506
      |> AList.make (snd o the o AList.lookup (op =) (these_params thy sups))
haftmann@25683
   507
      |> (map o apsnd o apsnd o map_atyps o K o TFree) (Name.aT, [class]);
haftmann@25683
   508
    val all_params = map fst (Locale.parameters_of thy class);
haftmann@25683
   509
    fun add_const (v, raw_ty) thy =
haftmann@25683
   510
      let
haftmann@25683
   511
        val c = Sign.full_name thy v;
haftmann@25683
   512
        val ty = map_atyps (K (TFree (Name.aT, base_sort))) raw_ty;
haftmann@25683
   513
        val ty0 = Type.strip_sorts ty;
haftmann@25683
   514
        val ty' = map_atyps (K (TFree (Name.aT, [class]))) ty0;
haftmann@25683
   515
        val syn = (the_default NoSyn o AList.lookup (op =) global_syntax) v;
haftmann@25683
   516
      in
haftmann@25683
   517
        thy
haftmann@25683
   518
        |> Sign.declare_const [] (v, ty0, syn)
haftmann@25683
   519
        |> snd
haftmann@25683
   520
        |> pair ((v, ty), (c, ty'))
haftmann@25683
   521
      end;
haftmann@25683
   522
    fun add_consts raw_params thy =
haftmann@25683
   523
      thy
haftmann@25683
   524
      |> Sign.add_path (Logic.const_of_class bname)
haftmann@25683
   525
      |> fold_map add_const raw_params
haftmann@25683
   526
      ||> Sign.restore_naming thy
haftmann@25683
   527
      |-> (fn params => pair (supconsts @ (map o apfst) fst params, params));
haftmann@25683
   528
    fun globalize param_map = map_aterms
haftmann@25683
   529
      (fn Free (v, ty) => Const ((fst o the o AList.lookup (op =) param_map) v, ty)
haftmann@25683
   530
        | t => t);
haftmann@25683
   531
    val raw_pred = Locale.intros thy class
haftmann@25683
   532
      |> fst
haftmann@25683
   533
      |> map (Logic.unvarify o Logic.strip_imp_concl o Thm.prop_of);
haftmann@25683
   534
    fun get_axiom thy = case (#axioms o AxClass.get_info thy) class
haftmann@25683
   535
     of [] => NONE
haftmann@25683
   536
      | [thm] => SOME thm;
wenzelm@24968
   537
  in
wenzelm@24968
   538
    thy
haftmann@25683
   539
    |> add_consts ((snd o chop (length supparams)) all_params)
haftmann@25683
   540
    |-> (fn (param_map, params) => AxClass.define_class (bname, supsort)
haftmann@26518
   541
          (map (fst o snd) params)
haftmann@25683
   542
          [((bname ^ "_" ^ AxClass.axiomsN, []), map (globalize param_map) raw_pred)]
haftmann@25683
   543
    #> snd
haftmann@25683
   544
    #> `get_axiom
haftmann@25683
   545
    #-> (fn assm_axiom => fold (Sign.add_const_constraint o apsnd SOME o snd) params
haftmann@25683
   546
    #> pair (param_map, params, assm_axiom)))
wenzelm@24968
   547
  end;
wenzelm@24968
   548
haftmann@26518
   549
fun gen_class prep_spec bname raw_supclasses raw_elems thy =
haftmann@24748
   550
  let
haftmann@25038
   551
    val class = Sign.full_name thy bname;
haftmann@25683
   552
    val (((sups, supparams), (supsort, base_sort, mergeexpr)), (elems, global_syntax)) =
haftmann@26247
   553
      prep_spec thy raw_supclasses raw_elems;
haftmann@24218
   554
  in
haftmann@24218
   555
    thy
haftmann@24748
   556
    |> Locale.add_locale_i (SOME "") bname mergeexpr elems
haftmann@25038
   557
    |> snd
haftmann@25311
   558
    |> ProofContext.theory_of
haftmann@26518
   559
    |> adjungate_axclass bname class base_sort sups supsort supparams global_syntax
haftmann@25683
   560
    |-> (fn (param_map, params, assm_axiom) =>
haftmann@26247
   561
        calculate sups base_sort assm_axiom param_map class
haftmann@25711
   562
    #-> (fn (morphism, axiom, assm_intro, of_class) =>
haftmann@25683
   563
        add_class_data ((class, sups), (params, base_sort,
haftmann@25711
   564
          map snd param_map, morphism, axiom, assm_intro, of_class))
haftmann@25683
   565
    #> class_interpretation class (the_list axiom) []))
haftmann@25268
   566
    |> init class
haftmann@25038
   567
    |> pair class
haftmann@24218
   568
  end;
haftmann@24218
   569
haftmann@24218
   570
in
haftmann@24218
   571
haftmann@26518
   572
val class_cmd = gen_class read_class_spec;
haftmann@26518
   573
val class = gen_class check_class_spec;
haftmann@24218
   574
haftmann@24218
   575
end; (*local*)
haftmann@24218
   576
haftmann@24218
   577
haftmann@25485
   578
(* class target *)
haftmann@24218
   579
haftmann@25603
   580
fun declare class pos ((c, mx), dict) thy =
haftmann@24218
   581
  let
wenzelm@25024
   582
    val prfx = class_prefix class;
wenzelm@25024
   583
    val thy' = thy |> Sign.add_path prfx;
haftmann@25711
   584
    val phi = partial_morphism thy' class;
wenzelm@25024
   585
haftmann@25062
   586
    val c' = Sign.full_name thy' c;
haftmann@25239
   587
    val dict' = Morphism.term phi dict;
haftmann@25239
   588
    val dict_def = map_types Logic.unvarifyT dict';
haftmann@25239
   589
    val ty' = Term.fastype_of dict_def;
haftmann@25083
   590
    val ty'' = Type.strip_sorts ty';
haftmann@25239
   591
    val def_eq = Logic.mk_equals (Const (c', ty'), dict_def);
haftmann@26247
   592
    fun get_axiom thy = ((Thm.varifyT o Thm.get_axiom_i thy) c', thy);
haftmann@24218
   593
  in
wenzelm@25024
   594
    thy'
haftmann@25096
   595
    |> Sign.declare_const pos (c, ty'', mx) |> snd
haftmann@25518
   596
    |> Thm.add_def false false (c, def_eq)
haftmann@25062
   597
    |>> Thm.symmetric
haftmann@25618
   598
    ||>> get_axiom
haftmann@25618
   599
    |-> (fn (def, def') => class_interpretation class [def] [Thm.prop_of def]
haftmann@26247
   600
      #> register_operation class (c', (dict', SOME (Thm.symmetric def')))
haftmann@26353
   601
      #> PureThy.note Thm.internalK (c ^ "_raw", def')
haftmann@26247
   602
      #> snd)
haftmann@24218
   603
    |> Sign.restore_naming thy
haftmann@25083
   604
    |> Sign.add_const_constraint (c', SOME ty')
haftmann@24218
   605
  end;
haftmann@24218
   606
haftmann@25603
   607
fun abbrev class prmode pos ((c, mx), rhs) thy =
haftmann@24836
   608
  let
wenzelm@25024
   609
    val prfx = class_prefix class;
haftmann@25096
   610
    val thy' = thy |> Sign.add_path prfx;
haftmann@25062
   611
    val phi = morphism thy class;
haftmann@25062
   612
haftmann@25096
   613
    val c' = Sign.full_name thy' c;
haftmann@25711
   614
    val rhs' = Morphism.term phi rhs;
haftmann@25239
   615
    val ty' = Logic.unvarifyT (Term.fastype_of rhs');
haftmann@24836
   616
  in
haftmann@25096
   617
    thy'
haftmann@25146
   618
    |> Sign.add_abbrev (#1 prmode) pos (c, map_types Type.strip_sorts rhs') |> snd
haftmann@25096
   619
    |> Sign.add_const_constraint (c', SOME ty')
wenzelm@25024
   620
    |> Sign.notation true prmode [(Const (c', ty'), mx)]
haftmann@25368
   621
    |> register_operation class (c', (rhs', NONE))
haftmann@25096
   622
    |> Sign.restore_naming thy
haftmann@24836
   623
  end;
haftmann@24836
   624
haftmann@25462
   625
haftmann@25462
   626
(** instantiation target **)
haftmann@25462
   627
haftmann@25462
   628
(* bookkeeping *)
haftmann@25462
   629
haftmann@25462
   630
datatype instantiation = Instantiation of {
haftmann@25864
   631
  arities: string list * (string * sort) list * sort,
haftmann@25462
   632
  params: ((string * string) * (string * typ)) list
haftmann@25603
   633
    (*(instantiation parameter, type constructor), (local instantiation parameter, typ)*)
haftmann@25462
   634
}
haftmann@25462
   635
haftmann@25462
   636
structure Instantiation = ProofDataFun
haftmann@25462
   637
(
haftmann@25462
   638
  type T = instantiation
haftmann@25536
   639
  fun init _ = Instantiation { arities = ([], [], []), params = [] };
haftmann@25462
   640
);
haftmann@25462
   641
haftmann@25485
   642
fun mk_instantiation (arities, params) =
haftmann@25485
   643
  Instantiation { arities = arities, params = params };
haftmann@25514
   644
fun get_instantiation lthy = case Instantiation.get (LocalTheory.target_of lthy)
haftmann@25485
   645
 of Instantiation data => data;
haftmann@25514
   646
fun map_instantiation f = (LocalTheory.target o Instantiation.map)
haftmann@25514
   647
  (fn Instantiation { arities, params } => mk_instantiation (f (arities, params)));
haftmann@25462
   648
haftmann@25514
   649
fun the_instantiation lthy = case get_instantiation lthy
haftmann@25536
   650
 of { arities = ([], [], []), ... } => error "No instantiation target"
haftmann@25485
   651
  | data => data;
haftmann@25462
   652
haftmann@25485
   653
val instantiation_params = #params o get_instantiation;
haftmann@25462
   654
haftmann@25514
   655
fun instantiation_param lthy v = instantiation_params lthy
haftmann@25462
   656
  |> find_first (fn (_, (v', _)) => v = v')
haftmann@25462
   657
  |> Option.map (fst o fst);
haftmann@25462
   658
haftmann@25462
   659
haftmann@25462
   660
(* syntax *)
haftmann@25462
   661
haftmann@26238
   662
fun synchronize_inst_syntax ctxt =
haftmann@25462
   663
  let
haftmann@26259
   664
    val Instantiation { arities = (_, _, sort), params = params } = Instantiation.get ctxt;
haftmann@26238
   665
    val thy = ProofContext.theory_of ctxt;
haftmann@26238
   666
    fun subst (c, ty) = case AxClass.inst_tyco_of thy (c, ty)
haftmann@26238
   667
         of SOME tyco => (case AList.lookup (op =) params (c, tyco)
haftmann@26238
   668
             of SOME (v_ty as (_, ty)) => SOME (ty, Free v_ty)
haftmann@26238
   669
              | NONE => NONE)
haftmann@26238
   670
          | NONE => NONE;
haftmann@26238
   671
    val unchecks =
haftmann@26238
   672
      map (fn ((c, _), v_ty as (_, ty)) => (Free v_ty, Const (c, ty))) params;
haftmann@26238
   673
  in
haftmann@26238
   674
    ctxt
haftmann@26259
   675
    |> Overloading.map_improvable_syntax
haftmann@26518
   676
         (fn (((primary_constraints, _), ((improve, _), _)), _) =>
haftmann@26518
   677
            (((primary_constraints, []), ((improve, subst), unchecks)), false))
haftmann@26238
   678
  end;
haftmann@25462
   679
haftmann@25462
   680
haftmann@25462
   681
(* target *)
haftmann@25462
   682
haftmann@25485
   683
val sanatize_name = (*FIXME*)
haftmann@25485
   684
  let
haftmann@25574
   685
    fun is_valid s = Symbol.is_ascii_letter s orelse Symbol.is_ascii_digit s
haftmann@25574
   686
      orelse s = "'" orelse s = "_";
haftmann@25485
   687
    val is_junk = not o is_valid andf Symbol.is_regular;
haftmann@25485
   688
    val junk = Scan.many is_junk;
haftmann@25485
   689
    val scan_valids = Symbol.scanner "Malformed input"
haftmann@25485
   690
      ((junk |--
haftmann@25485
   691
        (Scan.optional (Scan.one Symbol.is_ascii_letter) "x" ^^ (Scan.many is_valid >> implode)
haftmann@25485
   692
        --| junk))
wenzelm@25999
   693
      ::: Scan.repeat ((Scan.many1 is_valid >> implode) --| junk));
haftmann@25485
   694
  in
haftmann@25485
   695
    explode #> scan_valids #> implode
haftmann@25485
   696
  end;
haftmann@25485
   697
haftmann@26259
   698
fun type_name "*" = "prod"
haftmann@26259
   699
  | type_name "+" = "sum"
haftmann@26259
   700
  | type_name s = sanatize_name (NameSpace.base s); (*FIXME*)
haftmann@26259
   701
haftmann@26518
   702
fun resort_terms pp algebra consts constraints ts =
haftmann@26518
   703
  let
haftmann@26518
   704
    fun matchings (Const (c_ty as (c, _))) = (case constraints c
haftmann@26518
   705
         of NONE => I
haftmann@26518
   706
          | SOME sorts => fold2 (curry (Sorts.meet_sort algebra))
haftmann@26518
   707
              (Consts.typargs consts c_ty) sorts)
haftmann@26518
   708
      | matchings _ = I
haftmann@26518
   709
    val tvartab = (fold o fold_aterms) matchings ts Vartab.empty
haftmann@26518
   710
      handle Sorts.CLASS_ERROR e => Sorts.class_error pp e;
haftmann@26518
   711
    val inst = map_type_tvar (fn (vi, _) => TVar (vi, the (Vartab.lookup tvartab vi)));
haftmann@26518
   712
  in if Vartab.is_empty tvartab then NONE else SOME ((map o map_types) inst ts) end;
haftmann@26518
   713
haftmann@25864
   714
fun init_instantiation (tycos, vs, sort) thy =
haftmann@25462
   715
  let
haftmann@25536
   716
    val _ = if null tycos then error "At least one arity must be given" else ();
haftmann@26518
   717
    val params = these_params thy sort;
haftmann@26518
   718
    fun get_param tyco (param, (_, (c, ty))) = if can (AxClass.param_of_inst thy) (c, tyco)
haftmann@25603
   719
      then NONE else SOME ((c, tyco),
haftmann@25864
   720
        (param ^ "_" ^ type_name tyco, map_atyps (K (Type (tyco, map TFree vs))) ty));
haftmann@26518
   721
    val inst_params = map_product get_param tycos params |> map_filter I;
haftmann@26518
   722
    val primary_constraints = map (apsnd
haftmann@26518
   723
      (map_atyps (K (TVar ((Name.aT, 0), [])))) o snd o snd) params;
haftmann@26329
   724
    val pp = Sign.pp thy;
haftmann@26518
   725
    val algebra = Sign.classes_of thy
haftmann@26518
   726
      |> fold (fn tyco => Sorts.add_arities pp
haftmann@26518
   727
            (tyco, map (fn class => (class, map snd vs)) sort)) tycos;
haftmann@26518
   728
    val consts = Sign.consts_of thy;
haftmann@26518
   729
    val improve_constraints = AList.lookup (op =)
haftmann@26518
   730
      (map (fn (_, (class, (c, _))) => (c, [[class]])) params);
haftmann@26518
   731
    fun resort_check ts ctxt = case resort_terms pp algebra consts improve_constraints ts
haftmann@26518
   732
     of NONE => NONE
haftmann@26518
   733
      | SOME ts' => SOME (ts', ctxt);
haftmann@26518
   734
    fun improve (c, ty) = case AxClass.inst_tyco_of thy (c, ty)
haftmann@26329
   735
     of SOME tyco => (case AList.lookup (op =) inst_params (c, tyco)
haftmann@26518
   736
         of SOME (_, ty') => if Type.raw_instance (ty', ty) then SOME (ty, ty') else NONE
haftmann@26259
   737
          | NONE => NONE)
haftmann@26259
   738
      | NONE => NONE;
haftmann@25485
   739
  in
haftmann@25485
   740
    thy
haftmann@25485
   741
    |> ProofContext.init
haftmann@26329
   742
    |> Instantiation.put (mk_instantiation ((tycos, vs, sort), inst_params))
haftmann@25864
   743
    |> fold (Variable.declare_term o Logic.mk_type o TFree) vs
haftmann@26329
   744
    |> fold (Variable.declare_names o Free o snd) inst_params
haftmann@26259
   745
    |> (Overloading.map_improvable_syntax o apfst)
haftmann@26329
   746
         (fn ((_, _), ((_, subst), unchecks)) =>
haftmann@26518
   747
            ((primary_constraints, []), ((improve, K NONE), [])))
haftmann@26259
   748
    |> Overloading.add_improvable_syntax
haftmann@26518
   749
    |> Context.proof_map (Syntax.add_term_check 0 "resorting" resort_check)
haftmann@26238
   750
    |> synchronize_inst_syntax
haftmann@25485
   751
  end;
haftmann@25485
   752
haftmann@26238
   753
fun confirm_declaration c = (map_instantiation o apsnd)
haftmann@26238
   754
  (filter_out (fn (_, (c', _)) => c' = c))
haftmann@26238
   755
  #> LocalTheory.target synchronize_inst_syntax
haftmann@26238
   756
haftmann@25485
   757
fun gen_instantiation_instance do_proof after_qed lthy =
haftmann@25485
   758
  let
haftmann@25864
   759
    val (tycos, vs, sort) = (#arities o the_instantiation) lthy;
haftmann@25864
   760
    val arities_proof = maps (fn tyco => Logic.mk_arities (tyco, map snd vs, sort)) tycos;
haftmann@25462
   761
    fun after_qed' results =
haftmann@25462
   762
      LocalTheory.theory (fold (AxClass.add_arity o Thm.varifyT) results)
haftmann@25462
   763
      #> after_qed;
haftmann@25462
   764
  in
haftmann@25462
   765
    lthy
haftmann@25462
   766
    |> do_proof after_qed' arities_proof
haftmann@25462
   767
  end;
haftmann@25462
   768
haftmann@25485
   769
val instantiation_instance = gen_instantiation_instance (fn after_qed => fn ts =>
haftmann@25462
   770
  Proof.theorem_i NONE (after_qed o map the_single) (map (fn t => [(t, [])]) ts));
haftmann@25462
   771
haftmann@25485
   772
fun prove_instantiation_instance tac = gen_instantiation_instance (fn after_qed =>
haftmann@25502
   773
  fn ts => fn lthy => after_qed (map (fn t => Goal.prove lthy [] [] t
haftmann@25502
   774
    (fn {context, ...} => tac context)) ts) lthy) I;
haftmann@25462
   775
haftmann@25462
   776
fun conclude_instantiation lthy =
haftmann@25462
   777
  let
haftmann@25485
   778
    val { arities, params } = the_instantiation lthy;
haftmann@25864
   779
    val (tycos, vs, sort) = arities;
haftmann@25462
   780
    val thy = ProofContext.theory_of lthy;
haftmann@25597
   781
    val _ = map (fn tyco => if Sign.of_sort thy
haftmann@25864
   782
        (Type (tyco, map TFree vs), sort)
haftmann@25462
   783
      then () else error ("Missing instance proof for type " ^ quote (Sign.extern_type thy tyco)))
haftmann@25597
   784
        tycos;
haftmann@25597
   785
  in lthy end;
haftmann@25462
   786
haftmann@25603
   787
fun pretty_instantiation lthy =
haftmann@25603
   788
  let
haftmann@25603
   789
    val { arities, params } = the_instantiation lthy;
haftmann@25864
   790
    val (tycos, vs, sort) = arities;
haftmann@25603
   791
    val thy = ProofContext.theory_of lthy;
haftmann@25864
   792
    fun pr_arity tyco = Syntax.pretty_arity lthy (tyco, map snd vs, sort);
haftmann@25603
   793
    fun pr_param ((c, _), (v, ty)) =
haftmann@25864
   794
      (Pretty.block o Pretty.breaks) [Pretty.str v, Pretty.str "==",
haftmann@25864
   795
        (Pretty.str o Sign.extern_const thy) c, Pretty.str "::", Sign.pretty_typ thy ty];
haftmann@25603
   796
  in
haftmann@25603
   797
    (Pretty.block o Pretty.fbreaks)
haftmann@25603
   798
      (Pretty.str "instantiation" :: map pr_arity tycos @ map pr_param params)
haftmann@25603
   799
  end;
haftmann@25603
   800
haftmann@24218
   801
end;
haftmann@25683
   802