src/HOL/simpdata.ML
author wenzelm
Sun, 21 Jan 2007 16:43:46 +0100
changeset 22147 f4ed4d940d44
parent 22128 cdd92316dd31
child 22838 466599ecf610
permissions -rw-r--r--
simplified ML setup;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     1
(*  Title:      HOL/simpdata.ML
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     2
    ID:         $Id$
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     3
    Author:     Tobias Nipkow
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     4
    Copyright   1991  University of Cambridge
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     5
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     6
Instantiation of the generic simplifier for HOL.
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     7
*)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     8
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
     9
(** tools setup **)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    10
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    11
structure Quantifier1 = Quantifier1Fun
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    12
(struct
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    13
  (*abstract syntax*)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    14
  fun dest_eq ((c as Const("op =",_)) $ s $ t) = SOME (c, s, t)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    15
    | dest_eq _ = NONE;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    16
  fun dest_conj ((c as Const("op &",_)) $ s $ t) = SOME (c, s, t)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    17
    | dest_conj _ = NONE;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    18
  fun dest_imp ((c as Const("op -->",_)) $ s $ t) = SOME (c, s, t)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    19
    | dest_imp _ = NONE;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    20
  val conj = HOLogic.conj
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    21
  val imp  = HOLogic.imp
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    22
  (*rules*)
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    23
  val iff_reflection = @{thm eq_reflection}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    24
  val iffI = @{thm iffI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    25
  val iff_trans = @{thm trans}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    26
  val conjI= @{thm conjI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    27
  val conjE= @{thm conjE}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    28
  val impI = @{thm impI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    29
  val mp   = @{thm mp}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    30
  val uncurry = @{thm uncurry}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    31
  val exI  = @{thm exI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    32
  val exE  = @{thm exE}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    33
  val iff_allI = @{thm iff_allI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    34
  val iff_exI = @{thm iff_exI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    35
  val all_comm = @{thm all_comm}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    36
  val ex_comm = @{thm ex_comm}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    37
end);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    38
21551
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
    39
structure Simpdata =
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    40
struct
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    41
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    42
fun mk_meta_eq r = r RS @{thm eq_reflection};
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    43
fun safe_mk_meta_eq r = mk_meta_eq r handle Thm.THM _ => r;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    44
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    45
fun mk_eq th = case concl_of th
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    46
  (*expects Trueprop if not == *)
21551
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
    47
  of Const ("==",_) $ _ $ _ => th
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
    48
   | _ $ (Const ("op =", _) $ _ $ _) => mk_meta_eq th
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    49
   | _ $ (Const ("Not", _) $ _) => th RS @{thm Eq_FalseI}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    50
   | _ => th RS @{thm Eq_TrueI}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    51
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    52
fun mk_eq_True r =
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    53
  SOME (r RS @{thm meta_eq_to_obj_eq} RS @{thm Eq_TrueI}) handle Thm.THM _ => NONE;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    54
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    55
(* Produce theorems of the form
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    56
  (P1 =simp=> ... =simp=> Pn => x == y) ==> (P1 =simp=> ... =simp=> Pn => x = y)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    57
*)
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    58
fun lift_meta_eq_to_obj_eq i st =
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    59
  let
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    60
    fun count_imp (Const ("HOL.simp_implies", _) $ P $ Q) = 1 + count_imp Q
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    61
      | count_imp _ = 0;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    62
    val j = count_imp (Logic.strip_assums_concl (List.nth (prems_of st, i - 1)))
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    63
  in if j = 0 then @{thm meta_eq_to_obj_eq}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    64
    else
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    65
      let
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    66
        val Ps = map (fn k => Free ("P" ^ string_of_int k, propT)) (1 upto j);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    67
        fun mk_simp_implies Q = foldr (fn (R, S) =>
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    68
          Const ("HOL.simp_implies", propT --> propT --> propT) $ R $ S) Q Ps
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    69
        val aT = TFree ("'a", HOLogic.typeS);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    70
        val x = Free ("x", aT);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    71
        val y = Free ("y", aT)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    72
      in Goal.prove_global (Thm.theory_of_thm st) []
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    73
        [mk_simp_implies (Logic.mk_equals (x, y))]
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    74
        (mk_simp_implies (HOLogic.mk_Trueprop (HOLogic.mk_eq (x, y))))
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    75
        (fn prems => EVERY
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    76
         [rewrite_goals_tac @{thms simp_implies_def},
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    77
          REPEAT (ares_tac (@{thm meta_eq_to_obj_eq} ::
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
    78
            map (rewrite_rule @{thms simp_implies_def}) prems) 1)])
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    79
      end
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    80
  end;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    81
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    82
(*Congruence rules for = (instead of ==)*)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    83
fun mk_meta_cong rl = zero_var_indexes
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    84
  (let val rl' = Seq.hd (TRYALL (fn i => fn st =>
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    85
     rtac (lift_meta_eq_to_obj_eq i st) i st) rl)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    86
   in mk_meta_eq rl' handle THM _ =>
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    87
     if can Logic.dest_equals (concl_of rl') then rl'
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    88
     else error "Conclusion of congruence rules must be =-equality"
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    89
   end);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    90
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    91
fun mk_atomize pairs =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
    92
  let
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    93
    fun atoms thm =
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    94
      let
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    95
        fun res th = map (fn rl => th RS rl);   (*exception THM*)
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    96
        fun res_fixed rls =
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    97
          if Thm.maxidx_of (Thm.adjust_maxidx_thm ~1 thm) = ~1 then res thm rls
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    98
          else Variable.trade (K (fn [thm'] => res thm' rls)) (Variable.thm_context thm) [thm];
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
    99
      in
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   100
        case concl_of thm
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   101
          of Const ("Trueprop", _) $ p => (case head_of p
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   102
            of Const (a, _) => (case AList.lookup (op =) pairs a
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   103
              of SOME rls => (maps atoms (res_fixed rls) handle THM _ => [thm])
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   104
              | NONE => [thm])
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   105
            | _ => [thm])
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   106
          | _ => [thm]
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   107
      end;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   108
  in atoms end;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   109
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   110
fun mksimps pairs =
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   111
  map_filter (try mk_eq) o mk_atomize pairs o gen_all;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   112
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   113
fun unsafe_solver_tac prems =
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   114
  (fn i => REPEAT_DETERM (match_tac @{thms simp_impliesI} i)) THEN'
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   115
  FIRST' [resolve_tac (reflexive_thm :: @{thm TrueI} :: @{thm refl} :: prems), atac,
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   116
    etac @{thm FalseE}];
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   117
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   118
val unsafe_solver = mk_solver "HOL unsafe" unsafe_solver_tac;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   119
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   120
(*No premature instantiation of variables during simplification*)
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   121
fun safe_solver_tac prems =
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   122
  (fn i => REPEAT_DETERM (match_tac @{thms simp_impliesI} i)) THEN'
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   123
  FIRST' [match_tac (reflexive_thm :: @{thm TrueI} :: @{thm refl} :: prems),
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   124
         eq_assume_tac, ematch_tac @{thms FalseE}];
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   125
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   126
val safe_solver = mk_solver "HOL safe" safe_solver_tac;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   127
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   128
structure SplitterData =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   129
struct
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   130
  structure Simplifier = Simplifier
21551
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
   131
  val mk_eq           = mk_eq
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   132
  val meta_eq_to_iff  = @{thm meta_eq_to_obj_eq}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   133
  val iffD            = @{thm iffD2}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   134
  val disjE           = @{thm disjE}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   135
  val conjE           = @{thm conjE}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   136
  val exE             = @{thm exE}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   137
  val contrapos       = @{thm contrapos_nn}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   138
  val contrapos2      = @{thm contrapos_pp}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   139
  val notnotD         = @{thm notnotD}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   140
end;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   141
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   142
structure Splitter = SplitterFun(SplitterData);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   143
21674
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   144
val split_tac        = Splitter.split_tac;
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   145
val split_inside_tac = Splitter.split_inside_tac;
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   146
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   147
val op addsplits     = Splitter.addsplits;
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   148
val op delsplits     = Splitter.delsplits;
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   149
val Addsplits        = Splitter.Addsplits;
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   150
val Delsplits        = Splitter.Delsplits;
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   151
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   152
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   153
(* integration of simplifier with classical reasoner *)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   154
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   155
structure Clasimp = ClasimpFun
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   156
 (structure Simplifier = Simplifier and Splitter = Splitter
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   157
  and Classical  = Classical and Blast = Blast
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   158
  val iffD1 = @{thm iffD1} val iffD2 = @{thm iffD2} val notE = @{thm notE});
21674
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   159
open Clasimp;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   160
22128
cdd92316dd31 added @{clasimpset};
wenzelm
parents: 21674
diff changeset
   161
val _ = ML_Context.value_antiq "clasimpset"
cdd92316dd31 added @{clasimpset};
wenzelm
parents: 21674
diff changeset
   162
  (Scan.succeed ("clasimpset", "Clasimp.local_clasimpset_of (ML_Context.the_local_context ())"));
cdd92316dd31 added @{clasimpset};
wenzelm
parents: 21674
diff changeset
   163
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   164
val mksimps_pairs =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   165
  [("op -->", [@{thm mp}]), ("op &", [@{thm conjunct1}, @{thm conjunct2}]),
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   166
   ("All", [@{thm spec}]), ("True", []), ("False", []),
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   167
   ("HOL.If", [@{thm if_bool_eq_conj} RS @{thm iffD1}])];
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   168
21674
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   169
val HOL_basic_ss =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   170
  Simplifier.theory_context @{theory} empty_ss
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   171
    setsubgoaler asm_simp_tac
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   172
    setSSolver safe_solver
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   173
    setSolver unsafe_solver
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   174
    setmksimps (mksimps mksimps_pairs)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   175
    setmkeqTrue mk_eq_True
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   176
    setmkcong mk_meta_cong;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   177
21674
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   178
fun hol_simplify rews = Simplifier.full_simplify (HOL_basic_ss addsimps rews);
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   179
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   180
fun unfold_tac ths =
21674
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   181
  let val ss0 = Simplifier.clear_ss HOL_basic_ss addsimps ths
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   182
  in fn ss => ALLGOALS (full_simp_tac (Simplifier.inherit_context ss ss0)) end;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   183
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   184
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   185
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   186
(** simprocs **)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   187
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   188
(* simproc for proving "(y = x) == False" from premise "~(x = y)" *)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   189
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   190
val use_neq_simproc = ref true;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   191
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   192
local
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   193
  val neq_to_EQ_False = @{thm not_sym} RS @{thm Eq_FalseI};
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   194
  fun neq_prover sg ss (eq $ lhs $ rhs) =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   195
    let
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   196
      fun test thm = (case #prop (rep_thm thm) of
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   197
                    _ $ (Not $ (eq' $ l' $ r')) =>
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   198
                      Not = HOLogic.Not andalso eq' = eq andalso
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   199
                      r' aconv lhs andalso l' aconv rhs
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   200
                  | _ => false)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   201
    in if !use_neq_simproc then case find_first test (prems_of_ss ss)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   202
     of NONE => NONE
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   203
      | SOME thm => SOME (thm RS neq_to_EQ_False)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   204
     else NONE
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   205
    end
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   206
in
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   207
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   208
val neq_simproc = Simplifier.simproc @{theory} "neq_simproc" ["x = y"] neq_prover;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   209
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   210
end;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   211
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   212
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   213
(* simproc for Let *)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   214
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   215
val use_let_simproc = ref true;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   216
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   217
local
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   218
  val (f_Let_unfold, x_Let_unfold) =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   219
      let val [(_$(f$x)$_)] = prems_of @{thm Let_unfold}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   220
      in (cterm_of @{theory} f, cterm_of @{theory} x) end
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   221
  val (f_Let_folded, x_Let_folded) =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   222
      let val [(_$(f$x)$_)] = prems_of @{thm Let_folded}
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   223
      in (cterm_of @{theory} f, cterm_of @{theory} x) end;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   224
  val g_Let_folded =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   225
      let val [(_$_$(g$_))] = prems_of @{thm Let_folded} in cterm_of @{theory} g end;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   226
in
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   227
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   228
val let_simproc =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   229
  Simplifier.simproc @{theory} "let_simp" ["Let x f"]
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   230
   (fn sg => fn ss => fn t =>
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   231
     let val ctxt = Simplifier.the_context ss;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   232
         val ([t'], ctxt') = Variable.import_terms false [t] ctxt;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   233
     in Option.map (hd o Variable.export ctxt' ctxt o single)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   234
      (case t' of (Const ("Let",_)$x$f) => (* x and f are already in normal form *)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   235
         if not (!use_let_simproc) then NONE
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   236
         else if is_Free x orelse is_Bound x orelse is_Const x
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   237
         then SOME @{thm Let_def}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   238
         else
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   239
          let
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   240
             val n = case f of (Abs (x,_,_)) => x | _ => "x";
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   241
             val cx = cterm_of sg x;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   242
             val {T=xT,...} = rep_cterm cx;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   243
             val cf = cterm_of sg f;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   244
             val fx_g = Simplifier.rewrite ss (Thm.capply cf cx);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   245
             val (_$_$g) = prop_of fx_g;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   246
             val g' = abstract_over (x,g);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   247
           in (if (g aconv g')
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   248
               then
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   249
                  let
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   250
                    val rl =
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   251
                      cterm_instantiate [(f_Let_unfold,cf),(x_Let_unfold,cx)] @{thm Let_unfold};
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   252
                  in SOME (rl OF [fx_g]) end
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   253
               else if Term.betapply (f,x) aconv g then NONE (*avoid identity conversion*)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   254
               else let
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   255
                     val abs_g'= Abs (n,xT,g');
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   256
                     val g'x = abs_g'$x;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   257
                     val g_g'x = symmetric (beta_conversion false (cterm_of sg g'x));
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   258
                     val rl = cterm_instantiate
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   259
                               [(f_Let_folded,cterm_of sg f),(x_Let_folded,cx),
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   260
                                (g_Let_folded,cterm_of sg abs_g')]
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   261
                               @{thm Let_folded};
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   262
                   in SOME (rl OF [transitive fx_g g_g'x])
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   263
                   end)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   264
           end
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   265
        | _ => NONE)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   266
     end)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   267
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   268
end;
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   269
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   270
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   271
(* generic refutation procedure *)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   272
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   273
(* parameters:
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   274
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   275
   test: term -> bool
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   276
   tests if a term is at all relevant to the refutation proof;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   277
   if not, then it can be discarded. Can improve performance,
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   278
   esp. if disjunctions can be discarded (no case distinction needed!).
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   279
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   280
   prep_tac: int -> tactic
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   281
   A preparation tactic to be applied to the goal once all relevant premises
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   282
   have been moved to the conclusion.
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   283
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   284
   ref_tac: int -> tactic
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   285
   the actual refutation tactic. Should be able to deal with goals
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   286
   [| A1; ...; An |] ==> False
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   287
   where the Ai are atomic, i.e. no top-level &, | or EX
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   288
*)
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   289
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   290
local
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   291
  val nnf_simpset =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   292
    empty_ss setmkeqTrue mk_eq_True
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   293
    setmksimps (mksimps mksimps_pairs)
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   294
    addsimps [@{thm imp_conv_disj}, @{thm iff_conv_conj_imp}, @{thm de_Morgan_disj},
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   295
      @{thm de_Morgan_conj}, @{thm not_all}, @{thm not_ex}, @{thm not_not}];
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   296
  fun prem_nnf_tac i st =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   297
    full_simp_tac (Simplifier.theory_context (Thm.theory_of_thm st) nnf_simpset) i st;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   298
in
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   299
fun refute_tac test prep_tac ref_tac =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   300
  let val refute_prems_tac =
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   301
        REPEAT_DETERM
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   302
              (eresolve_tac [@{thm conjE}, @{thm exE}] 1 ORELSE
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   303
               filter_prems_tac test 1 ORELSE
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   304
               etac @{thm disjE} 1) THEN
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   305
        ((etac @{thm notE} 1 THEN eq_assume_tac 1) ORELSE
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   306
         ref_tac 1);
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   307
  in EVERY'[TRY o filter_prems_tac test,
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   308
            REPEAT_DETERM o etac @{thm rev_mp}, prep_tac, rtac @{thm ccontr}, prem_nnf_tac,
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   309
            SELECT_GOAL (DEPTH_SOLVE refute_prems_tac)]
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   310
  end;
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   311
end;
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   312
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   313
val defALL_regroup =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   314
  Simplifier.simproc @{theory}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   315
    "defined ALL" ["ALL x. P x"] Quantifier1.rearrange_all;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   316
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   317
val defEX_regroup =
22147
f4ed4d940d44 simplified ML setup;
wenzelm
parents: 22128
diff changeset
   318
  Simplifier.simproc @{theory}
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   319
    "defined EX" ["EX x. P x"] Quantifier1.rearrange_ex;
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   320
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   321
21674
8a6bf9d7c751 simplified ML bindings -- moved to HOL.thy;
wenzelm
parents: 21551
diff changeset
   322
val simpset_simprocs = HOL_basic_ss
21163
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   323
  addsimprocs [defALL_regroup, defEX_regroup, neq_simproc, let_simproc]
6860f161111c re-added simpdata.ML
haftmann
parents:
diff changeset
   324
21313
26fc3a45547c mk_atomize: careful matching against rules admits overloading;
wenzelm
parents: 21163
diff changeset
   325
end;
21551
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
   326
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
   327
structure Splitter = Simpdata.Splitter;
d276e7d25017 introduced Simpdata structure
haftmann
parents: 21313
diff changeset
   328
structure Clasimp = Simpdata.Clasimp;