src/Pure/theory.ML
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(*  Title:      Pure/theory.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson and Markus Wenzel
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Logical theory content: axioms, definitions, oracles.
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*)
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signature BASIC_THEORY =
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sig
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  type theory
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  type theory_ref
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  val sign_of: theory -> theory    (*obsolete*)
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  val rep_theory: theory ->
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   {axioms: term NameSpace.table,
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    defs: Defs.T,
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    oracles: ((theory * Object.T -> term) * stamp) NameSpace.table}
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  val parents_of: theory -> theory list
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  val ancestors_of: theory -> theory list
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  val eq_thy: theory * theory -> bool
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  val subthy: theory * theory -> bool
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  val cert_axm: theory -> string * term -> string * term
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  val read_def_axm: theory * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> string * string -> string * term
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  val read_axm: theory -> string * string -> string * term
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  val inferT_axm: theory -> string * term -> string * term
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end
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signature THEORY =
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sig
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  include BASIC_THEORY
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  include SIGN_THEORY
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  val begin_theory: string -> theory list -> theory
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  val end_theory: theory -> theory
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  val checkpoint: theory -> theory
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  val copy: theory -> theory
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  val init_data: theory -> theory
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  val axiom_space: theory -> NameSpace.T
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  val oracle_space: theory -> NameSpace.T
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  val axioms_of: theory -> (string * term) list
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  val all_axioms_of: theory -> (string * term) list
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  val defs_of : theory -> Defs.T
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  val self_ref: theory -> theory_ref
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  val deref: theory_ref -> theory
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  val merge: theory * theory -> theory                     (*exception TERM*)
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  val merge_refs: theory_ref * theory_ref -> theory_ref    (*exception TERM*)
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  val requires: theory -> string -> string -> unit
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  val assert_super: theory -> theory -> theory
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  val add_axioms: (bstring * string) list -> theory -> theory
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  val add_axioms_i: (bstring * term) list -> theory -> theory
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  val add_defs: bool -> (bstring * string) list -> theory -> theory
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  val add_defs_i: bool -> (bstring * term) list -> theory -> theory
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  val add_finals: bool -> string list -> theory -> theory
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  val add_finals_i: bool -> term list -> theory -> theory
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  val add_oracle: bstring * (theory * Object.T -> term) -> theory -> theory
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end
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structure Theory: THEORY =
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struct
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(** type theory **)
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(* context operations *)
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type theory = Context.theory;
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type theory_ref = Context.theory_ref;
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val eq_thy = Context.eq_thy;
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val subthy = Context.subthy;
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val parents_of = Context.parents_of;
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val ancestors_of = Context.ancestors_of;
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val self_ref = Context.self_ref;
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val deref = Context.deref;
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val merge = Context.merge;
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val merge_refs = Context.merge_refs;
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val begin_theory = Sign.local_path oo Context.begin_thy Sign.pp;
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val end_theory = Context.finish_thy;
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val checkpoint = Context.checkpoint_thy;
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val copy = Context.copy_thy;
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(* signature operations *)
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val sign_of = I;
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structure SignTheory: SIGN_THEORY = Sign;
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open SignTheory;
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(** datatype thy **)
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datatype thy = Thy of
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 {axioms: term NameSpace.table,
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  defs: Defs.T,
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  oracles: ((theory * Object.T -> term) * stamp) NameSpace.table};
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fun make_thy (axioms, defs, oracles) =
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  Thy {axioms = axioms, defs = defs, oracles = oracles};
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fun err_dup_axms dups = error ("Duplicate axiom(s): " ^ commas_quote dups);
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fun err_dup_oras dups = error ("Duplicate oracle(s): " ^ commas_quote dups);
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structure ThyData = TheoryDataFun
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(struct
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  val name = "Pure/theory";
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  type T = thy;
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  val empty = make_thy (NameSpace.empty_table, Defs.empty, NameSpace.empty_table);
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  val copy = I;
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  fun extend (Thy {axioms, defs, oracles}) = make_thy (NameSpace.empty_table, defs, oracles);
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  fun merge pp (thy1, thy2) =
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    let
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      val Thy {axioms = _, defs = defs1, oracles = oracles1} = thy1;
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      val Thy {axioms = _, defs = defs2, oracles = oracles2} = thy2;
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      val axioms = NameSpace.empty_table;
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      val defs = Defs.merge pp (defs1, defs2);
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      val oracles = NameSpace.merge_tables (eq_snd (op =)) (oracles1, oracles2)
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        handle Symtab.DUPS dups => err_dup_oras dups;
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    in make_thy (axioms, defs, oracles) end;
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  fun print _ _ = ();
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end);
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val init_data = ThyData.init;
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fun rep_theory thy = ThyData.get thy |> (fn Thy args => args);
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fun map_thy f = ThyData.map (fn (Thy {axioms, defs, oracles}) =>
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  make_thy (f (axioms, defs, oracles)));
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fun map_axioms f = map_thy (fn (axioms, defs, oracles) => (f axioms, defs, oracles));
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fun map_defs f = map_thy (fn (axioms, defs, oracles) => (axioms, f defs, oracles));
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fun map_oracles f = map_thy (fn (axioms, defs, oracles) => (axioms, defs, f oracles));
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(* basic operations *)
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val axiom_space = #1 o #axioms o rep_theory;
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val oracle_space = #1 o #oracles o rep_theory;
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val axioms_of = Symtab.dest o #2 o #axioms o rep_theory;
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fun all_axioms_of thy = maps axioms_of (thy :: ancestors_of thy);
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val defs_of = #defs o rep_theory;
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fun requires thy name what =
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  if Context.exists_name name thy then ()
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  else error ("Require theory " ^ quote name ^ " as an ancestor for " ^ what);
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fun assert_super thy1 thy2 =
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  if subthy (thy1, thy2) then thy2
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  else raise THEORY ("Not a super theory", [thy1, thy2]);
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(** add axioms **)
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(* prepare axioms *)
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fun err_in_axm msg name =
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  cat_error msg ("The error(s) above occurred in axiom " ^ quote name);
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fun cert_axm thy (name, raw_tm) =
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  let
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    val (t, T, _) = Sign.certify_prop thy raw_tm
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      handle TYPE (msg, _, _) => error msg
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        | TERM (msg, _) => error msg;
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  in
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    Term.no_dummy_patterns t handle TERM (msg, _) => error msg;
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    (name, Sign.no_vars (Sign.pp thy) t)
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  end;
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fun read_def_axm (thy, types, sorts) used (name, str) =
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  let
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    val ts = Syntax.read (Context.Theory thy) (Sign.is_logtype thy) (Sign.syn_of thy) propT str;
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    val (t, _) =
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      Sign.infer_types (Sign.pp thy) thy (Sign.consts_of thy) types sorts used true (ts, propT);
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  in cert_axm thy (name, t) end
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  handle ERROR msg => err_in_axm msg name;
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fun read_axm thy name_str = read_def_axm (thy, K NONE, K NONE) [] name_str;
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fun inferT_axm thy (name, pre_tm) =
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  let
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    val pp = Sign.pp thy;
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    val (t, _) =
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      Sign.infer_types pp thy (Sign.consts_of thy) (K NONE) (K NONE) [] true ([pre_tm], propT);
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  in (name, Sign.no_vars pp t) end
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  handle ERROR msg => err_in_axm msg name;
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(* add_axioms(_i) *)
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local
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fun gen_add_axioms prep_axm raw_axms thy = thy |> map_axioms (fn axioms =>
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  let
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    val axms = map (apsnd (Compress.term thy o Logic.varify) o prep_axm thy) raw_axms;
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    val axioms' = NameSpace.extend_table (Sign.naming_of thy) (axioms, axms)
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      handle Symtab.DUPS dups => err_dup_axms dups;
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  in axioms' end);
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in
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val add_axioms = gen_add_axioms read_axm;
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val add_axioms_i = gen_add_axioms cert_axm;
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end;
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(** add constant definitions **)
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fun prep_const thy (c, T) = (c, Compress.typ thy (Type.varifyT T));
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(* check_overloading *)
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fun check_overloading thy overloaded (c, T) =
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  let
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    val declT =
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      (case Sign.const_constraint thy c of
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        NONE => error ("Undeclared constant " ^ quote c)
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      | SOME declT => declT);
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    val T' = Type.varifyT T;
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    fun message txt =
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      [Pretty.block [Pretty.str "Specification of constant ",
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        Pretty.str c, Pretty.str " ::", Pretty.brk 1, Pretty.quote (Sign.pretty_typ thy T)],
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        Pretty.str txt] |> Pretty.chunks |> Pretty.string_of;
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  in
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    if Sign.typ_instance thy (declT, T') then ()
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    else if Type.raw_instance (declT, T') then
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      error (Library.setmp show_sorts true
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        message "imposes additional sort constraints on the constant declaration")
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    else if overloaded then ()
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    else warning (message "is strictly less general than the declared type");
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    (c, T)
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  end;
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(* check_def *)
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fun check_def thy overloaded (bname, tm) defs =
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  let
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    val pp = Sign.pp thy;
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    fun prt_const (c, T) =
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     [Pretty.str c, Pretty.str " ::", Pretty.brk 1,
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      Pretty.quote (Pretty.typ pp (Type.freeze_type T))];
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    val name = Sign.full_name thy bname;
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    val (lhs_const, rhs) = Sign.cert_def pp tm;
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    val rhs_consts = fold_aterms (fn Const const => insert (op =) const | _ => I) rhs [];
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    val _ = check_overloading thy overloaded lhs_const;
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  in
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    defs |> Defs.define (Sign.the_const_type thy)
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      ((true, Context.theory_name thy), name) (prep_const thy lhs_const)
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      (map (prep_const thy) rhs_consts)
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  end
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  handle ERROR msg => cat_error msg (Pretty.string_of (Pretty.block
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   [Pretty.str ("The error(s) above occurred in definition " ^ quote bname ^ ":"),
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    Pretty.fbrk, Pretty.quote (Pretty.term (Sign.pp thy) tm)]));
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(* add_defs(_i) *)
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local
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fun gen_add_defs prep_axm overloaded raw_axms thy =
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  let val axms = map (prep_axm thy) raw_axms in
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    thy
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    |> map_defs (fold (check_def thy overloaded) axms)
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    |> add_axioms_i axms
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  end;
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in
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val add_defs_i = gen_add_defs cert_axm;
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val add_defs = gen_add_defs read_axm;
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end;
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(* add_finals(_i) *)
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local
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fun gen_add_finals prep_term overloaded args thy =
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  let
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    fun const_of (Const const) = const
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      | const_of (Free _) = error "Attempt to finalize variable (or undeclared constant)"
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      | const_of _ = error "Attempt to finalize non-constant term";
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    fun specify (c, T) = Defs.define (Sign.the_const_type thy)
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      ((false, Context.theory_name thy), c ^ " axiom") (prep_const thy (c, T)) [];
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    val finalize = specify o check_overloading thy overloaded o
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      const_of o Sign.no_vars (Sign.pp thy) o prep_term thy;
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  in thy |> map_defs (fold finalize args) end;
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in
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val add_finals = gen_add_finals Sign.read_term;
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val add_finals_i = gen_add_finals Sign.cert_term;
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end;
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(** add oracle **)
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fun add_oracle (bname, oracle) thy = thy |> map_oracles (fn oracles =>
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  NameSpace.extend_table (Sign.naming_of thy) (oracles, [(bname, (oracle, stamp ()))])
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    handle Symtab.DUPS dups => err_dup_oras dups);
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end;
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structure BasicTheory: BASIC_THEORY = Theory;
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open BasicTheory;