src/HOL/Tools/typecopy_package.ML
author haftmann
Tue, 30 Sep 2008 12:49:18 +0200
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clarified codegen interfaces
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(*  Title:      HOL/Tools/typecopy_package.ML
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    ID:         $Id$
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    Author:     Florian Haftmann, TU Muenchen
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Introducing copies of types using trivial typedefs; datatype-like abstraction.
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*)
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signature TYPECOPY_PACKAGE =
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sig
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  type info = {
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    vs: (string * sort) list,
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    constr: string,
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    typ: typ,
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    inject: thm,
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    proj: string * typ,
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    proj_def: thm
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  }
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  val add_typecopy: bstring * string list -> typ -> (bstring * bstring) option
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    -> theory -> (string * info) * theory
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  val get_typecopies: theory -> string list
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  val get_info: theory -> string -> info option
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  val interpretation: (string -> theory -> theory) -> theory -> theory
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  val print_typecopies: theory -> unit
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  val setup: theory -> theory
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end;
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structure TypecopyPackage: TYPECOPY_PACKAGE =
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struct
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(* theory data *)
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type info = {
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  vs: (string * sort) list,
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  constr: string,
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  typ: typ,
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  inject: thm,
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  proj: string * typ,
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  proj_def: thm
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};
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structure TypecopyData = TheoryDataFun
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(
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  type T = info Symtab.table;
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  val empty = Symtab.empty;
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  val copy = I;
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  val extend = I;
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  fun merge _ = Symtab.merge (K true);
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);
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fun print_typecopies thy =
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  let
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    val tab = TypecopyData.get thy;
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    fun mk (tyco, { vs, constr, typ, proj = (proj, _), ... } : info) =
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      (Pretty.block o Pretty.breaks) [
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        Syntax.pretty_typ_global thy (Type (tyco, map TFree vs)),
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        Pretty.str "=",
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        (Pretty.str o Sign.extern_const thy) constr,
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        Syntax.pretty_typ_global thy typ,
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        Pretty.block [Pretty.str "(", (Pretty.str o Sign.extern_const thy) proj, Pretty.str  ")"]];
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    in
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      (Pretty.writeln o Pretty.block o Pretty.fbreaks)
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        (Pretty.str "type copies:" :: map mk (Symtab.dest tab))
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    end;
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val get_typecopies = Symtab.keys o TypecopyData.get;
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val get_info = Symtab.lookup o TypecopyData.get;
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(* interpretation of type copies *)
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structure TypecopyInterpretation = InterpretationFun(type T = string val eq = op =);
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val interpretation = TypecopyInterpretation.interpretation;
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(* add a type copy *)
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local
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fun gen_add_typecopy prep_typ (raw_tyco, raw_vs) raw_ty constr_proj thy =
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  let
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    val ty = prep_typ thy raw_ty;
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    val vs = AList.make (the_default HOLogic.typeS o AList.lookup (op =) (typ_tfrees ty)) raw_vs;
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    val tac = Tactic.rtac UNIV_witness 1;
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    fun add_info tyco ( { abs_type = ty_abs, rep_type = ty_rep, Abs_name = c_abs,
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      Rep_name = c_rep, Abs_inject = inject,
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      Abs_inverse = inverse, ... } : TypedefPackage.info ) thy =
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        let
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          val exists_thm =
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            UNIV_I
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            |> Drule.instantiate' [SOME (ctyp_of thy (Logic.varifyT ty_rep))] [];
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          val inject' = inject OF [exists_thm, exists_thm];
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          val proj_def = inverse OF [exists_thm];
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          val info = {
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            vs = vs,
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            constr = c_abs,
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            typ = ty_rep,
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            inject = inject',
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            proj = (c_rep, ty_abs --> ty_rep),
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            proj_def = proj_def
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          };
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        in
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          thy
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          |> (TypecopyData.map o Symtab.update_new) (tyco, info)
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          |> TypecopyInterpretation.data tyco
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          |> pair (tyco, info)
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        end
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  in
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    thy
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    |> TypedefPackage.add_typedef_i false (SOME raw_tyco) (raw_tyco, map fst vs, NoSyn)
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      (HOLogic.mk_UNIV ty) (Option.map swap constr_proj) tac
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    |-> (fn (tyco, info) => add_info tyco info)
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  end;
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in
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val add_typecopy = gen_add_typecopy Sign.certify_typ;
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end;
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(* code generator setup *)
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fun add_typecopy_spec tyco thy =
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  let
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    val SOME { constr, proj_def, inject, vs = raw_vs, ... } = get_info thy tyco;
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    val vs = (map o apsnd)
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      (curry (Sorts.inter_sort (Sign.classes_of thy)) [HOLogic.class_eq]) raw_vs;
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    val ty = Type (tyco, map TFree vs);
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    val ty_constr = Logic.unvarifyT (Sign.the_const_type thy constr);
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    fun add_def tyco lthy =
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      let
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        fun mk_side const_name = Const (const_name, ty --> ty --> HOLogic.boolT)
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          $ Free ("x", ty) $ Free ("y", ty);
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        val def = HOLogic.mk_Trueprop (HOLogic.mk_eq
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          (mk_side @{const_name eq_class.eq}, mk_side @{const_name "op ="}));
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        val def' = Syntax.check_term lthy def;
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        val ((_, (_, thm)), lthy') = Specification.definition
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          (NONE, (Attrib.no_binding, def')) lthy;
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        val ctxt_thy = ProofContext.init (ProofContext.theory_of lthy);
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        val thm' = singleton (ProofContext.export lthy' ctxt_thy) thm;
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      in (thm', lthy') end;
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    fun tac thms = Class.intro_classes_tac []
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      THEN ALLGOALS (ProofContext.fact_tac thms);
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    fun add_eq_thms thy = 
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      let
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        val eq = inject
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          |> Code_Unit.constrain_thm thy [HOLogic.class_eq]
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          |> Simpdata.mk_eq
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          |> MetaSimplifier.rewrite_rule [Thm.transfer thy @{thm equals_eq}]
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          |> AxClass.unoverload thy;
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        val eq_refl = @{thm HOL.eq_refl}
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          |> Thm.instantiate
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              ([pairself (Thm.ctyp_of thy) (TVar (("'a", 0), @{sort eq}), Logic.varifyT ty)], [])
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          |> AxClass.unoverload thy;
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      in
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        thy
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        |> Code.add_eqn eq
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        |> Code.add_nonlinear_eqn eq_refl
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      end;
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  in
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    thy
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    |> Code.add_datatype [(constr, ty_constr)]
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    |> Code.add_eqn proj_def
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    |> TheoryTarget.instantiation ([tyco], vs, [HOLogic.class_eq])
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    |> add_def tyco
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    |-> (fn thm => Class.prove_instantiation_instance (K (tac [thm]))
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    #> LocalTheory.exit_global
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    #> Code.del_eqn thm
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    #> add_eq_thms)
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  end;
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val setup =
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  TypecopyInterpretation.init
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  #> interpretation add_typecopy_spec
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end;