src/Pure/pure_thy.ML
author wenzelm
Mon, 08 Jun 1998 15:58:56 +0200
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use type-safe theory data interface;
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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 Pure theories.
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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 thms_of: theory -> (string * thm) list
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  val global_names: bool ref
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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 thms_closure: theory -> xstring -> tthm list option
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  val get_tthm: theory -> xstring -> tthm
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  val get_tthms: theory -> xstring -> tthm list
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  val thms_containing: theory -> string list -> (string * thm) list
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  val smart_store_thm: (bstring * thm) -> thm
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  val add_tthms: ((bstring * tthm) * theory attribute list) list -> theory -> theory
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  val add_tthmss: ((bstring * tthm list) * theory attribute list) list -> theory -> theory
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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_axioms_x: ((bstring * string) * tag 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_defs_x: ((bstring * string) * tag 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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  val transaction: (theory -> theory) -> theory -> theory * bool * exn option
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  val add_typedecls: (bstring * string list * mixfix) list -> theory -> theory
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  val proto_pure: theory
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  val pure: theory
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  val cpure: 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: tthm list Symtab.table,
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      const_idx: int * (int * tthm) 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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  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 = Attribute.pretty_tthm o apfst (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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      fun extrn name =
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        if ! long_names then name else NameSpace.extern space name;
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      val thmss = sort_wrt fst (map (apfst extrn) (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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(* 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_tthms 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_tthm thy name =
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  (case get_tthms 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_thms thy = map Attribute.thm_of o get_tthms thy;
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fun get_thm thy = Attribute.thm_of o get_tthm thy;
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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), tthm as (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, tthm) :: 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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  foldl (foldl add_const_idx) ((0, Symtab.empty), map snd (Symtab.dest 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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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 = [(name, x)];
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fun name_multi name xs = gen_names (length xs) name ~~ xs;
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(* enter_tthmx *)
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fun warn_overwrite name =
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  warning ("Replaced old copy of theorems " ^ quote name);
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fun warn_same name =
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  warning ("Theorem database already contains a copy of " ^ quote name);
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fun enter_tthmx sg app_name (bname, tthmx) =
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  let
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    val name = Sign.full_name sg bname;
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    fun name_tthm (nm, (thm, tgs)) = (Thm.name_thm (nm, thm), tgs);
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    val named_tthms = map name_tthm (app_name name tthmx);
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    fun eq_tthm ((th1, _), (th2, _)) = Thm.eq_thm (th1, th2);
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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 tthms' =>
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          if length tthms' = length named_tthms andalso forall2 eq_tthm (tthms', named_tthms) 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_tthms), 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_tthms);
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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_tthms
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  end;
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(* add_tthms(s) *)
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fun add_tthmx app_name app_att ((bname, tthmx), atts) thy =
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  let val (thy', tthmx') = app_att ((thy, tthmx), atts)
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  in enter_tthmx (Theory.sign_of thy') app_name (bname, tthmx'); thy' end;
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val add_tthms = Theory.apply o map (add_tthmx name_single Attribute.apply);
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val add_tthmss = Theory.apply o map (add_tthmx name_multi Attribute.applys);
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(* smart_store_thm *)
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fun smart_store_thm (name, thm) =
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  let val [(thm', _)] = enter_tthmx (Thm.sign_of_thm thm) name_single (name, Attribute.tthm_of thm)
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  in thm' end;
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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 tthms = map (Attribute.tthm_of o Thm.get_axiom thy' o fst) named_axs;
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    in add_tthmss [((name, tthms), atts)] thy' end;
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  fun add_axs app_name add = Theory.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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fun add_axioms_x axms thy = add_axioms (map (apsnd (map (Attribute.global_attr thy))) axms) thy;
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fun add_defs_x defs thy = add_defs (map (apsnd (map (Attribute.global_attr thy))) defs) thy;
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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 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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(*compatibility flag, likely to disappear someday*)
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val global_names = ref false;
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fun global_path thy =
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  if ! global_names then thy else Theory.root_path thy;
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fun local_path thy =
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  if ! global_names then thy
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  else 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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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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  in
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    (transform_error f thy, false, None) handle exn =>
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      if Sign.is_stale (Theory.sign_of thy) then (copy_thy, true, Some exn)
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      else (thy, false, Some exn)
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  end;
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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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(*** the Pure theories ***)
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val proto_pure =
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  Theory.pre_pure
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  |> Theory.apply (Attribute.setup @ [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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   396
   [("fun", [logicS, logicS], logicS),
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   397
    ("prop", [], logicS),
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   398
    ("itself", [logicS], logicS)]
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   399
  |> Theory.add_nonterminals Syntax.pure_nonterms
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   400
  |> Theory.add_syntax Syntax.pure_syntax
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   401
  |> Theory.add_modesyntax ("symbols", true) Syntax.pure_sym_syntax
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   402
  |> Theory.add_trfuns Syntax.pure_trfuns
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   403
  |> Theory.add_trfunsT Syntax.pure_trfunsT
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   404
  |> Theory.add_syntax
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   405
   [("==>", "[prop, prop] => prop", Delimfix "op ==>")]
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   406
  |> Theory.add_consts
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   407
   [("==", "['a::{}, 'a] => prop", InfixrName ("==", 2)),
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   408
    ("=?=", "['a::{}, 'a] => prop", InfixrName ("=?=", 2)),
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   409
    ("==>", "[prop, prop] => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)),
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   410
    ("all", "('a => prop) => prop", Binder ("!!", 0, 0)),
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diff changeset
   411
    ("Goal", "prop => prop", Mixfix ("GOAL _", [999], 1000)),
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   412
    ("TYPE", "'a itself", NoSyn)]
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   413
  |> local_path
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   414
  |> (add_defs o map Attribute.none)
4788
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diff changeset
   415
   [("flexpair_def", "(t =?= u) == (t == u::'a::{})"),
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diff changeset
   416
    ("Goal_def", "GOAL (PROP A) == PROP A")]
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   417
  |> end_theory;
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   418
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   419
val pure =
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   420
  begin_theory "Pure" [proto_pure]
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   421
  |> Theory.add_syntax Syntax.pure_appl_syntax
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   422
  |> end_theory;
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   423
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   424
val cpure =
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   425
  begin_theory "CPure" [proto_pure]
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   426
  |> Theory.add_syntax Syntax.pure_applC_syntax
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   427
  |> end_theory;
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   428
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   429
22f5291012df Init 'theorems' data. The Pure theories.
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   430
end;
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   431
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   432
4022
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   433
structure BasicPureThy: BASIC_PURE_THY = PureThy;
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   434
open BasicPureThy;
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   435
0770a19c48d3 added ignored_consts, thms_containing, add_store_axioms(_i),
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diff changeset
   436
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   437
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   438
(** Pure theory structures **)
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structure ProtoPure =
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struct
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  val thy = PureThy.proto_pure;
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  val flexpair_def = get_axiom thy "flexpair_def";
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  val Goal_def = get_axiom thy "Goal_def";
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end;
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structure Pure = struct val thy = PureThy.pure end;
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structure CPure = struct val thy = PureThy.cpure end;