src/Pure/pure_thy.ML
author wenzelm
Fri Apr 30 18:01:55 1999 +0200 (1999-04-30)
changeset 6547 5ba27aade76f
parent 6367 7f36b6fd3eb3
child 6560 1436349f8b28
permissions -rw-r--r--
theory data: copy;
consts dummy :: 'a ("'_");
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(*  Title:      Pure/pure_thy.ML
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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Theorem database, derived theory operations, and the ProtoPure theory.
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*)
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signature BASIC_PURE_THY =
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sig
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  val print_theorems: theory -> unit
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  val print_theory: theory -> unit
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  val get_thm: theory -> xstring -> thm
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  val get_thms: theory -> xstring -> thm list
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  val get_thmss: theory -> xstring list -> thm list
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  val thms_of: theory -> (string * thm) list
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  structure ProtoPure:
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    sig
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      val thy: theory
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      val flexpair_def: thm
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      val Goal_def: thm
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    end
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end;
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signature PURE_THY =
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sig
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  include BASIC_PURE_THY
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  val cond_extern_thm_sg: Sign.sg -> string -> xstring
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  val thms_closure: theory -> xstring -> thm list option
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  val thms_containing: theory -> string list -> (string * thm) list
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  val default_name: string -> string
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  val store_thm: (bstring * thm) * theory attribute list -> theory -> theory * thm
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  val smart_store_thm: (bstring * thm) -> thm
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  val add_thms: ((bstring * thm) * theory attribute list) list -> theory -> theory
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  val add_thmss: ((bstring * thm list) * theory attribute list) list -> theory -> theory
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  val have_thmss: bstring option -> theory attribute list ->
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    (thm list * theory attribute list) list -> theory -> theory * thm list
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  val add_axioms: ((bstring * string) * theory attribute list) list -> theory -> theory
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  val add_axioms_i: ((bstring * term) * theory attribute list) list -> theory -> theory
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  val add_axiomss: ((bstring * string list) * theory attribute list) list -> theory -> theory
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  val add_axiomss_i: ((bstring * term list) * theory attribute list) list -> theory -> theory
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  val add_defs: ((bstring * string) * theory attribute list) list -> theory -> theory
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  val add_defs_i: ((bstring * term) * theory attribute list) list -> theory -> theory
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  val add_defss: ((bstring * string list) * theory attribute list) list -> theory -> theory
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  val add_defss_i: ((bstring * term list) * theory attribute list) list -> theory -> theory
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  val get_name: theory -> string
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  val put_name: string -> theory -> theory
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  val global_path: theory -> theory
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  val local_path: theory -> 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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  exception ROLLBACK of theory * exn option
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  val transaction: (theory -> theory) -> theory -> theory
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  val add_typedecls: (bstring * string list * mixfix) list -> theory -> theory
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end;
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structure PureThy: PURE_THY =
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struct
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(*** theorem database ***)
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(** data kind 'Pure/theorems' **)
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structure TheoremsDataArgs =
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struct
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  val name = "Pure/theorems";
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  type T =
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    {space: NameSpace.T,
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      thms_tab: thm list Symtab.table,
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      const_idx: int * (int * thm) list Symtab.table} ref;
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  fun mk_empty _ =
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    ref {space = NameSpace.empty, thms_tab = Symtab.empty, const_idx = (0, Symtab.empty)} : T;
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  val empty = mk_empty ();
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  fun copy (ref x) = ref x;
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  val prep_ext = mk_empty;
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  val merge = mk_empty;
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  fun print sg (ref {space, thms_tab, const_idx = _}) =
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    let
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      val prt_thm = Display.pretty_thm o Thm.transfer_sg sg;
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      fun prt_thms (name, [th]) =
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            Pretty.block [Pretty.str (name ^ ":"), Pretty.brk 1, prt_thm th]
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        | prt_thms (name, ths) = Pretty.big_list (name ^ ":") (map prt_thm ths);
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      val thmss = sort_wrt fst (map (apfst (NameSpace.cond_extern space)) (Symtab.dest thms_tab));
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    in
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      Pretty.writeln (Display.pretty_name_space ("theorem name space", space));
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      Pretty.writeln (Pretty.big_list "theorems:" (map prt_thms thmss))
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    end;
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end;
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structure TheoremsData = TheoryDataFun(TheoremsDataArgs);
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val get_theorems_sg = TheoremsData.get_sg;
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val get_theorems = TheoremsData.get;
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val cond_extern_thm_sg = NameSpace.cond_extern o #space o ! o get_theorems_sg;
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(* print theory *)
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val print_theorems = TheoremsData.print;
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fun print_theory thy =
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  (Display.print_theory thy; print_theorems thy);
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(** retrieve theorems **)
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(* thms_closure *)
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(*note: we avoid life references to the theory, so users may safely
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  keep thms_closure with moderate space consumption*)
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fun thms_closure_aux thy =
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  let val ref {space, thms_tab, ...} = get_theorems thy
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  in fn name => Symtab.lookup (thms_tab, NameSpace.intern space name) end;
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fun thms_closure thy =
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  let val closures = map thms_closure_aux (thy :: Theory.ancestors_of thy)
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  in fn name => get_first (fn f => f name) closures end;
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(* get_thms etc. *)
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fun lookup_thms name thy = thms_closure_aux thy name;
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fun get_thms thy name =
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  (case get_first (lookup_thms name) (thy :: Theory.ancestors_of thy) of
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    None => raise THEORY ("Unknown theorem(s) " ^ quote name, [thy])
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  | Some thms => thms);
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fun get_thm thy name =
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  (case get_thms thy name of
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    [thm] => thm
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  | _ => raise THEORY ("Single theorem expected " ^ quote name, [thy]));
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fun get_thmss thy names = flat (map (get_thms thy) names);
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(* thms_of *)
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fun attach_name thm = (Thm.name_of_thm thm, thm);
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fun thms_of thy =
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  let val ref {thms_tab, ...} = get_theorems thy in
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    map attach_name (flat (map snd (Symtab.dest thms_tab)))
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  end;
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(** theorems indexed by constants **)
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(* make index *)
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val ignore = ["Trueprop", "all", "==>", "=="];
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fun add_const_idx ((next, table), thm) =
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  let
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    val {hyps, prop, ...} = Thm.rep_thm thm;
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    val consts =
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      foldr add_term_consts (hyps, add_term_consts (prop, [])) \\ ignore;
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    fun add (tab, c) =
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      Symtab.update ((c, (next, thm) :: Symtab.lookup_multi (tab, c)), tab);
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  in (next + 1, foldl add (table, consts)) end;
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fun make_const_idx thm_tab =
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  Symtab.foldl (fn (x, (_, ths)) => foldl add_const_idx (x, ths)) ((0, Symtab.empty), thm_tab);
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(* lookup index *)
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(*search locally*)
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fun containing [] thy = thms_of thy
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  | containing consts thy =
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      let
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        fun int ([], _) = []
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          | int (_, []) = []
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          | int (xxs as ((x as (i:int, _)) :: xs), yys as ((y as (j, _)) :: ys)) =
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              if i = j then x :: int (xs, ys)
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              else if i > j then int (xs, yys)
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              else int (xxs, ys);
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        fun ints [xs] = xs
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          | ints xss = if exists null xss then [] else foldl int (hd xss, tl xss);
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        val ref {const_idx = (_, ctab), ...} = get_theorems thy;
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        val ithmss = map (fn c => Symtab.lookup_multi (ctab, c)) consts;
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      in
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        map (attach_name o snd) (ints ithmss)
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      end;
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(*search globally*)
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fun thms_containing thy consts =
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  flat (map (containing (consts \\ ignore)) (thy :: Theory.ancestors_of thy));
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(** store theorems **)                    (*DESTRUCTIVE*)
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(* naming *)
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val defaultN = "it";
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val default_name = fn "" => defaultN | name => name;
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fun gen_names len name =
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  map (fn i => name ^ "_" ^ string_of_int i) (1 upto len);
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fun name_single name x = [(default_name name, x)];
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fun name_multi name xs = gen_names (length xs) (default_name name) ~~ xs;
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(* enter_thmx *)
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fun cond_warning name msg = if Sign.base_name name = defaultN then () else warning msg;
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fun warn_overwrite name =
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  cond_warning name ("Replaced old copy of theorems " ^ quote name);
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fun warn_same name =
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  cond_warning name ("Theorem database already contains a copy of " ^ quote name);
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fun enter_thmx sg app_name (bname, thmx) =
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  let
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    val name = Sign.full_name sg (default_name bname);
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    val named_thms = map Thm.name_thm (app_name name thmx);
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    val r as ref {space, thms_tab, const_idx} = get_theorems_sg sg;
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    val overwrite =
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      (case Symtab.lookup (thms_tab, name) of
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        None => false
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      | Some thms' =>
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          if length thms' = length named_thms andalso forall2 Thm.eq_thm (thms', named_thms) then
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            (warn_same name; false)
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          else (warn_overwrite name; true));
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    val space' = NameSpace.extend (space, [name]);
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    val thms_tab' = Symtab.update ((name, named_thms), thms_tab);
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    val const_idx' =
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      if overwrite then make_const_idx thms_tab'
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      else foldl add_const_idx (const_idx, named_thms);
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  in
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    r := {space = space', thms_tab = thms_tab', const_idx = const_idx'};
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    named_thms
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  end;
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(* add_thms(s) *)
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fun add_thmx app_name app_att ((bname, thmx), atts) thy =
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  let
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    val (thy', thmx') = app_att ((thy, thmx), atts);
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    val thms'' = enter_thmx (Theory.sign_of thy') app_name (bname, thmx');
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  in (thy', thms'') end;
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fun add_thmxs name app = Library.apply o map (fst oo add_thmx name app);
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val add_thms = add_thmxs name_single Thm.apply_attributes;
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val add_thmss = add_thmxs name_multi Thm.applys_attributes;
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(* have_thmss *)
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fun have_thmss opt_bname more_atts ths_atts thy =
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  let
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    fun app (x, (ths, atts)) = Thm.applys_attributes ((x, ths), atts);
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    val (thy', thmss') =
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      foldl_map app (thy, map (fn (ths, atts) => (ths, atts @ more_atts)) ths_atts);
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    val thms' = flat thmss';
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    val thms'' =
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      (case opt_bname of
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        None => thms'
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      | Some bname => enter_thmx (Theory.sign_of thy') name_multi (bname, thms'));
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  in (thy, thms'') end;
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(* store_thm *)
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fun store_thm th_atts thy =
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  let val (thy', [th']) = add_thmx name_single Thm.apply_attributes th_atts thy
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  in (thy', th') end;
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(* smart_store_thm *)
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fun smart_store_thm (name, thm) =
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  hd (enter_thmx (Thm.sign_of_thm thm) name_single (name, thm));
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(* store axioms as theorems *)
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local
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  fun add_ax app_name add ((name, axs), atts) thy =
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    let
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      val named_axs = app_name name axs;
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      val thy' = add named_axs thy;
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      val thms = map (Thm.get_axiom thy' o fst) named_axs;
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    in add_thmss [((name, thms), atts)] thy' end;
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  fun add_axs app_name add = Library.apply o map (add_ax app_name add);
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in
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  val add_axioms    = add_axs name_single Theory.add_axioms;
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  val add_axioms_i  = add_axs name_single Theory.add_axioms_i;
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  val add_axiomss   = add_axs name_multi Theory.add_axioms;
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  val add_axiomss_i = add_axs name_multi Theory.add_axioms_i;
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  val add_defs      = add_axs name_single Theory.add_defs;
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  val add_defs_i    = add_axs name_single Theory.add_defs_i;
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  val add_defss     = add_axs name_multi Theory.add_defs;
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  val add_defss_i   = add_axs name_multi Theory.add_defs_i;
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end;
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(*** derived theory operations ***)
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(** theory management **)
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(* data kind 'Pure/theory_management' *)
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structure TheoryManagementDataArgs =
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struct
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  val name = "Pure/theory_management";
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  type T = {name: string, generation: int};
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  val empty = {name = "", generation = 0};
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  val copy = I;
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  val prep_ext  = I;
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  fun merge _ = empty;
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  fun print _ _ = ();
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end;
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structure TheoryManagementData = TheoryDataFun(TheoryManagementDataArgs);
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val get_info = TheoryManagementData.get;
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val put_info = TheoryManagementData.put;
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(* get / put name *)
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val get_name = #name o get_info;
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fun put_name name = put_info {name = name, generation = 0};
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(* control prefixing of theory name *)
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val global_path = Theory.root_path;
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fun local_path thy =
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  thy |> Theory.root_path |> Theory.add_path (get_name thy);
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(* begin / end theory *)
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fun begin_theory name thys =
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  Theory.prep_ext_merge thys
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  |> put_name name
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  |> local_path;
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fun end_theory thy = Theory.add_name (get_name thy) thy;
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(* atomic transactions *)
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exception ROLLBACK of theory * exn option;
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fun transaction f thy =
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  let
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    val {name, generation} = get_info thy;
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    val copy_thy =
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      thy
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      |> Theory.prep_ext
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      |> Theory.add_name ("#" ^ name ^ ":" ^ string_of_int generation)  (* FIXME !!?? *)
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      |> put_info {name = name, generation = generation + 1};
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    val (thy', opt_exn) = (transform_error f thy, None) handle exn => (thy, Some exn);
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  in
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    if Sign.is_stale (Theory.sign_of thy') then raise ROLLBACK (copy_thy, opt_exn)
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    else (case opt_exn of Some exn => raise exn | _ => thy')
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  end;
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   383
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   384
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(** add logical types **)
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fun add_typedecls decls thy =
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  let
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    val full = Sign.full_name (Theory.sign_of thy);
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    fun type_of (raw_name, vs, mx) =
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      if null (duplicates vs) then (raw_name, length vs, mx)
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      else error ("Duplicate parameters in type declaration: " ^ quote raw_name);
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    fun arity_of (raw_name, len, mx) =
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      (full (Syntax.type_name raw_name mx), replicate len logicS, logicS);
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    val types = map type_of decls;
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    val arities = map arity_of types;
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  in
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    thy
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    |> Theory.add_types types
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    |> Theory.add_arities_i arities
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  end;
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wenzelm@4922
   406
wenzelm@4922
   407
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   408
(*** the ProtoPure theory ***)
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val proto_pure =
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  Theory.pre_pure
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  |> Library.apply [TheoremsData.init, TheoryManagementData.init]
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  |> put_name "ProtoPure"
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  |> global_path
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  |> Theory.add_types
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   [("fun", 2, NoSyn),
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    ("prop", 0, NoSyn),
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    ("itself", 1, NoSyn),
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    ("dummy", 0, NoSyn)]
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  |> Theory.add_classes_i [(logicC, [])]
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  |> Theory.add_defsort_i logicS
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  |> Theory.add_arities_i
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   [("fun", [logicS, logicS], logicS),
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   424
    ("prop", [], logicS),
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   425
    ("itself", [logicS], logicS)]
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   426
  |> Theory.add_nonterminals Syntax.pure_nonterms
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  |> Theory.add_syntax Syntax.pure_syntax
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  |> Theory.add_modesyntax ("symbols" , true) Syntax.pure_sym_syntax
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  |> Theory.add_modesyntax ("xsymbols", true) Syntax.pure_xsym_syntax
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  |> Theory.add_trfuns Syntax.pure_trfuns
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   431
  |> Theory.add_trfunsT Syntax.pure_trfunsT
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  |> Theory.add_syntax
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   [("==>", "[prop, prop] => prop", Delimfix "op ==>")]
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   434
  |> Theory.add_consts
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   435
   [("==", "['a::{}, 'a] => prop", InfixrName ("==", 2)),
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   436
    ("=?=", "['a::{}, 'a] => prop", InfixrName ("=?=", 2)),
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   437
    ("==>", "[prop, prop] => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)),
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   438
    ("all", "('a => prop) => prop", Binder ("!!", 0, 0)),
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   439
    ("Goal", "prop => prop", Mixfix ("GOAL _", [999], 1000)),
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   440
    ("TYPE", "'a itself", NoSyn),
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   441
    ("dummy", "'a", Delimfix "'_")]
nipkow@5041
   442
  |> Theory.add_modesyntax ("", false)
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   443
    [("Goal", "prop => prop", Mixfix ("_", [0], 0))]
wenzelm@4963
   444
  |> local_path
wenzelm@6091
   445
  |> (add_defs o map Thm.no_attributes)
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   446
   [("flexpair_def", "(t =?= u) == (t == u::'a::{})"),
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   447
    ("Goal_def", "GOAL (PROP A) == PROP A")]
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   448
  |> end_theory;
wenzelm@3987
   449
wenzelm@5091
   450
structure ProtoPure =
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   451
struct
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   452
  val thy = proto_pure;
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   453
  val flexpair_def = get_axiom thy "flexpair_def";
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   454
  val Goal_def = get_axiom thy "Goal_def";
wenzelm@5091
   455
end;
wenzelm@3987
   456
wenzelm@3987
   457
wenzelm@3987
   458
end;
wenzelm@3987
   459
wenzelm@3987
   460
wenzelm@4022
   461
structure BasicPureThy: BASIC_PURE_THY = PureThy;
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   462
open BasicPureThy;