src/Pure/tctical.ML
author wenzelm
Sat, 21 Jan 2006 23:02:14 +0100
changeset 18728 6790126ab5f6
parent 17969 7262f4a45190
child 19153 0864119a9611
permissions -rw-r--r--
simplified type attribute;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
16179
fa7e70be26b0 header;
wenzelm
parents: 15574
diff changeset
     1
(*  Title:      Pure/tctical.ML
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     2
    ID:         $Id$
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
     3
    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     4
    Copyright   1993  University of Cambridge
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     5
16179
fa7e70be26b0 header;
wenzelm
parents: 15574
diff changeset
     6
Tacticals.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     7
*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
     8
4602
0e034d76932e added THEN_ALL_NEW;
wenzelm
parents: 4270
diff changeset
     9
infix 1 THEN THEN' THEN_ALL_NEW;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    10
infix 0 ORELSE APPEND INTLEAVE ORELSE' APPEND' INTLEAVE';
671
e0be228a9c5b Pure/tctical/THEN_ELSE: new
lcp
parents: 631
diff changeset
    11
infix 0 THEN_ELSE;
e0be228a9c5b Pure/tctical/THEN_ELSE: new
lcp
parents: 631
diff changeset
    12
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    13
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    14
signature TACTICAL =
11916
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
    15
sig
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
    16
  type tactic  (* = thm -> thm Seq.seq*)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    17
  val all_tac           : tactic
13108
wenzelm
parents: 12851
diff changeset
    18
  val ALLGOALS          : (int -> tactic) -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    19
  val APPEND            : tactic * tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    20
  val APPEND'           : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    21
  val CHANGED           : tactic -> tactic
10821
dcb75538f542 CHANGED_PROP;
wenzelm
parents: 10767
diff changeset
    22
  val CHANGED_PROP      : tactic -> tactic
13108
wenzelm
parents: 12851
diff changeset
    23
  val CHANGED_GOAL      : (int -> tactic) -> int -> tactic
wenzelm
parents: 12851
diff changeset
    24
  val COND              : (thm -> bool) -> tactic -> tactic -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    25
  val DETERM            : tactic -> tactic
13108
wenzelm
parents: 12851
diff changeset
    26
  val EVERY             : tactic list -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    27
  val EVERY'            : ('a -> tactic) list -> 'a -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    28
  val EVERY1            : (int -> tactic) list -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    29
  val FILTER            : (thm -> bool) -> tactic -> tactic
13108
wenzelm
parents: 12851
diff changeset
    30
  val FIRST             : tactic list -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    31
  val FIRST'            : ('a -> tactic) list -> 'a -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    32
  val FIRST1            : (int -> tactic) list -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    33
  val FIRSTGOAL         : (int -> tactic) -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    34
  val INTLEAVE          : tactic * tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    35
  val INTLEAVE'         : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    36
  val METAHYPS          : (thm list -> tactic) -> int -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    37
  val no_tac            : tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    38
  val ORELSE            : tactic * tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    39
  val ORELSE'           : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    40
  val pause_tac         : tactic
6041
684ec6a1d802 Added a "message" argument to print_tac
paulson
parents: 5997
diff changeset
    41
  val print_tac         : string -> tactic
15006
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
    42
  val PRIMITIVE         : (thm -> thm) -> tactic
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
    43
  val PRIMSEQ           : (thm -> thm Seq.seq) -> tactic
11916
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
    44
  val RANGE             : (int -> tactic) list -> int -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    45
  val REPEAT            : tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    46
  val REPEAT1           : tactic -> tactic
8149
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
    47
  val REPEAT_FIRST      : (int -> tactic) -> tactic
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
    48
  val REPEAT_SOME       : (int -> tactic) -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    49
  val REPEAT_DETERM_N   : int -> tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    50
  val REPEAT_DETERM     : tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    51
  val REPEAT_DETERM1    : tactic -> tactic
703
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
    52
  val REPEAT_DETERM_FIRST: (int -> tactic) -> tactic
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
    53
  val REPEAT_DETERM_SOME: (int -> tactic) -> tactic
8149
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
    54
  val DETERM_UNTIL      : (thm -> bool) -> tactic -> tactic
15006
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
    55
  val SINGLE            : tactic -> thm -> thm option
13108
wenzelm
parents: 12851
diff changeset
    56
  val SOMEGOAL          : (int -> tactic) -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    57
  val strip_context     : term -> (string * typ) list * term list * term
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    58
  val SUBGOAL           : ((term*int) -> tactic) -> int -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    59
  val suppress_tracing  : bool ref
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    60
  val THEN              : tactic * tactic -> tactic
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    61
  val THEN'             : ('a -> tactic) * ('a -> tactic) -> 'a -> tactic
13108
wenzelm
parents: 12851
diff changeset
    62
  val THEN_ALL_NEW      : (int -> tactic) * (int -> tactic) -> int -> tactic
wenzelm
parents: 12851
diff changeset
    63
  val REPEAT_ALL_NEW    : (int -> tactic) -> int -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    64
  val THEN_ELSE         : tactic * (tactic*tactic) -> tactic
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
    65
  val traced_tac        : (thm -> (thm * thm Seq.seq) option) -> tactic
5141
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
    66
  val tracify           : bool ref -> tactic -> tactic
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    67
  val trace_REPEAT      : bool ref
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
    68
  val TRY               : tactic -> tactic
13108
wenzelm
parents: 12851
diff changeset
    69
  val TRYALL            : (int -> tactic) -> tactic
11916
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
    70
end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    71
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    72
13108
wenzelm
parents: 12851
diff changeset
    73
structure Tactical : TACTICAL =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    74
struct
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    75
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    76
(**** Tactics ****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    77
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    78
(*A tactic maps a proof tree to a sequence of proof trees:
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    79
    if length of sequence = 0 then the tactic does not apply;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    80
    if length > 1 then backtracking on the alternatives can occur.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    81
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
    82
type tactic = thm -> thm Seq.seq;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    83
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    84
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    85
(*** LCF-style tacticals ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    86
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    87
(*the tactical THEN performs one tactic followed by another*)
17344
8b2f56aff711 Seq.maps;
wenzelm
parents: 16510
diff changeset
    88
fun (tac1 THEN tac2) st = Seq.maps tac2 (tac1 st);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    89
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    90
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    91
(*The tactical ORELSE uses the first tactic that returns a nonempty sequence.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    92
  Like in LCF, ORELSE commits to either tac1 or tac2 immediately.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    93
  Does not backtrack to tac2 if tac1 was initially chosen. *)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
    94
fun (tac1 ORELSE tac2) st =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
    95
    case Seq.pull(tac1 st) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
    96
        NONE       => tac2 st
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
    97
      | sequencecell => Seq.make(fn()=> sequencecell);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    98
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
    99
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   100
(*The tactical APPEND combines the results of two tactics.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   101
  Like ORELSE, but allows backtracking on both tac1 and tac2.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   102
  The tactic tac2 is not applied until needed.*)
13108
wenzelm
parents: 12851
diff changeset
   103
fun (tac1 APPEND tac2) st =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   104
  Seq.append(tac1 st,
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   105
                  Seq.make(fn()=> Seq.pull (tac2 st)));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   106
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   107
(*Like APPEND, but interleaves results of tac1 and tac2.*)
13108
wenzelm
parents: 12851
diff changeset
   108
fun (tac1 INTLEAVE tac2) st =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   109
    Seq.interleave(tac1 st,
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   110
                        Seq.make(fn()=> Seq.pull (tac2 st)));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   111
671
e0be228a9c5b Pure/tctical/THEN_ELSE: new
lcp
parents: 631
diff changeset
   112
(*Conditional tactic.
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   113
        tac1 ORELSE tac2 = tac1 THEN_ELSE (all_tac, tac2)
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   114
        tac1 THEN tac2   = tac1 THEN_ELSE (tac2, no_tac)
671
e0be228a9c5b Pure/tctical/THEN_ELSE: new
lcp
parents: 631
diff changeset
   115
*)
13108
wenzelm
parents: 12851
diff changeset
   116
fun (tac THEN_ELSE (tac1, tac2)) st =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   117
    case Seq.pull(tac st) of
17344
8b2f56aff711 Seq.maps;
wenzelm
parents: 16510
diff changeset
   118
        NONE    => tac2 st                                   (*failed; try tactic 2*)
8b2f56aff711 Seq.maps;
wenzelm
parents: 16510
diff changeset
   119
      | seqcell => Seq.maps tac1 (Seq.make(fn()=> seqcell)); (*succeeded; use tactic 1*)
671
e0be228a9c5b Pure/tctical/THEN_ELSE: new
lcp
parents: 631
diff changeset
   120
e0be228a9c5b Pure/tctical/THEN_ELSE: new
lcp
parents: 631
diff changeset
   121
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   122
(*Versions for combining tactic-valued functions, as in
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   123
     SOMEGOAL (resolve_tac rls THEN' assume_tac) *)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   124
fun (tac1 THEN' tac2) x = tac1 x THEN tac2 x;
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   125
fun (tac1 ORELSE' tac2) x = tac1 x ORELSE tac2 x;
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   126
fun (tac1 APPEND' tac2) x = tac1 x APPEND tac2 x;
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   127
fun (tac1 INTLEAVE' tac2) x = tac1 x INTLEAVE tac2 x;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   128
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   129
(*passes all proofs through unchanged;  identity of THEN*)
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   130
fun all_tac st = Seq.single st;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   131
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   132
(*passes no proofs through;  identity of ORELSE and APPEND*)
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   133
fun no_tac st  = Seq.empty;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   134
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   135
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   136
(*Make a tactic deterministic by chopping the tail of the proof sequence*)
12851
e87496286934 generic DETERM;
wenzelm
parents: 12262
diff changeset
   137
fun DETERM tac = Seq.DETERM tac;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   138
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   139
(*Conditional tactical: testfun controls which tactic to use next.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   140
  Beware: due to eager evaluation, both thentac and elsetac are evaluated.*)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   141
fun COND testfun thenf elsef = (fn prf =>
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   142
    if testfun prf then  thenf prf   else  elsef prf);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   143
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   144
(*Do the tactic or else do nothing*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   145
fun TRY tac = tac ORELSE all_tac;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   146
2672
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   147
(*** List-oriented tactics ***)
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   148
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   149
local
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   150
  (*This version of EVERY avoids backtracking over repeated states*)
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   151
13108
wenzelm
parents: 12851
diff changeset
   152
  fun EVY (trail, []) st =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   153
        Seq.make (fn()=> SOME(st,
13108
wenzelm
parents: 12851
diff changeset
   154
                        Seq.make (fn()=> Seq.pull (evyBack trail))))
wenzelm
parents: 12851
diff changeset
   155
    | EVY (trail, tac::tacs) st =
wenzelm
parents: 12851
diff changeset
   156
          case Seq.pull(tac st) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   157
              NONE    => evyBack trail              (*failed: backtrack*)
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   158
            | SOME(st',q) => EVY ((st',q,tacs)::trail, tacs) st'
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   159
  and evyBack [] = Seq.empty (*no alternatives*)
2672
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   160
    | evyBack ((st',q,tacs)::trail) =
13108
wenzelm
parents: 12851
diff changeset
   161
          case Seq.pull q of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   162
              NONE        => evyBack trail
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   163
            | SOME(st,q') => if eq_thm (st',st)
13108
wenzelm
parents: 12851
diff changeset
   164
                             then evyBack ((st',q',tacs)::trail)
wenzelm
parents: 12851
diff changeset
   165
                             else EVY ((st,q',tacs)::trail, tacs) st
2672
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   166
in
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   167
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   168
(* EVERY [tac1,...,tacn]   equals    tac1 THEN ... THEN tacn   *)
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   169
fun EVERY tacs = EVY ([], tacs);
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   170
end;
2627
4ee01bb55a44 added THEN_MAYBE and THEN_MAYBE'
oheimb
parents: 2580
diff changeset
   171
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   172
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   173
(* EVERY' [tac1,...,tacn] i  equals    tac1 i THEN ... THEN tacn i   *)
2672
85d7e800d754 Replaced "flat" by the Basis Library function List.concat
paulson
parents: 2627
diff changeset
   174
fun EVERY' tacs i = EVERY (map (fn f => f i) tacs);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   175
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   176
(*Apply every tactic to 1*)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   177
fun EVERY1 tacs = EVERY' tacs 1;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   178
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   179
(* FIRST [tac1,...,tacn]   equals    tac1 ORELSE ... ORELSE tacn   *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   180
fun FIRST tacs = foldr (op ORELSE) no_tac tacs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   181
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   182
(* FIRST' [tac1,...,tacn] i  equals    tac1 i ORELSE ... ORELSE tacn i   *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   183
fun FIRST' tacs = foldr (op ORELSE') (K no_tac) tacs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   184
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   185
(*Apply first tactic to 1*)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   186
fun FIRST1 tacs = FIRST' tacs 1;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   187
11916
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
   188
(*Apply tactics on consecutive subgoals*)
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
   189
fun RANGE [] _ = all_tac
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
   190
  | RANGE (tac :: tacs) i = RANGE tacs (i + 1) THEN tac i;
82139d3dcdd7 added RANGE (from Isar/proof.ML);
wenzelm
parents: 11887
diff changeset
   191
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   192
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   193
(*** Tracing tactics ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   194
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   195
(*Print the current proof state and pass it on.*)
13108
wenzelm
parents: 12851
diff changeset
   196
fun print_tac msg =
wenzelm
parents: 12851
diff changeset
   197
    (fn st =>
12262
11ff5f47df6e use tracing function for trace output;
wenzelm
parents: 12082
diff changeset
   198
     (tracing msg;
15017
9ad392226da5 print_tac now outputs goals through trace-channel
schirmer
parents: 15006
diff changeset
   199
      tracing ((Pretty.string_of o Pretty.chunks o 
9ad392226da5 print_tac now outputs goals through trace-channel
schirmer
parents: 15006
diff changeset
   200
                 Display.pretty_goals (! Display.goals_limit)) st); 
9ad392226da5 print_tac now outputs goals through trace-channel
schirmer
parents: 15006
diff changeset
   201
      Seq.single st));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   202
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   203
(*Pause until a line is typed -- if non-empty then fail. *)
13108
wenzelm
parents: 12851
diff changeset
   204
fun pause_tac st =
12262
11ff5f47df6e use tracing function for trace output;
wenzelm
parents: 12082
diff changeset
   205
  (tracing "** Press RETURN to continue:";
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   206
   if TextIO.inputLine TextIO.stdIn = "\n" then Seq.single st
12262
11ff5f47df6e use tracing function for trace output;
wenzelm
parents: 12082
diff changeset
   207
   else (tracing "Goodbye";  Seq.empty));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   208
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   209
exception TRACE_EXIT of thm
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   210
and TRACE_QUIT;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   211
631
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   212
(*Tracing flags*)
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   213
val trace_REPEAT= ref false
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   214
and suppress_tracing = ref false;
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   215
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   216
(*Handle all tracing commands for current state and tactic *)
13108
wenzelm
parents: 12851
diff changeset
   217
fun exec_trace_command flag (tac, st) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   218
   case TextIO.inputLine(TextIO.stdIn) of
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   219
       "\n" => tac st
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   220
     | "f\n" => Seq.empty
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   221
     | "o\n" => (flag:=false;  tac st)
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   222
     | "s\n" => (suppress_tracing:=true;  tac st)
12262
11ff5f47df6e use tracing function for trace output;
wenzelm
parents: 12082
diff changeset
   223
     | "x\n" => (tracing "Exiting now";  raise (TRACE_EXIT st))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   224
     | "quit\n" => raise TRACE_QUIT
12262
11ff5f47df6e use tracing function for trace output;
wenzelm
parents: 12082
diff changeset
   225
     | _     => (tracing
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   226
"Type RETURN to continue or...\n\
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   227
\     f    - to fail here\n\
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   228
\     o    - to switch tracing off\n\
631
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   229
\     s    - to suppress tracing until next entry to a tactical\n\
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   230
\     x    - to exit at this point\n\
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   231
\     quit - to abort this tracing run\n\
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   232
\** Well? "     ;  exec_trace_command flag (tac, st));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   233
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   234
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   235
(*Extract from a tactic, a thm->thm seq function that handles tracing*)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   236
fun tracify flag tac st =
631
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   237
  if !flag andalso not (!suppress_tracing)
12082
94409d15b00b goals_limit moved to display.ML;
wenzelm
parents: 11916
diff changeset
   238
           then (Display.print_goals (! Display.goals_limit) st;
12262
11ff5f47df6e use tracing function for trace output;
wenzelm
parents: 12082
diff changeset
   239
                 tracing "** Press RETURN to continue:";
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   240
                 exec_trace_command flag (tac,st))
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   241
  else tac st;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   242
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   243
(*Create a tactic whose outcome is given by seqf, handling TRACE_EXIT*)
13108
wenzelm
parents: 12851
diff changeset
   244
fun traced_tac seqf st =
631
8bc44f7bbab8 Pure/tctical/suppress_tracing: new; can now switch tracing off until the
lcp
parents: 230
diff changeset
   245
    (suppress_tracing := false;
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   246
     Seq.make (fn()=> seqf st
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   247
                         handle TRACE_EXIT st' => SOME(st', Seq.empty)));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   248
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   249
8149
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
   250
(*Deterministic DO..UNTIL: only retains the first outcome; tail recursive.
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
   251
  Forces repitition until predicate on state is fulfilled.*)
13108
wenzelm
parents: 12851
diff changeset
   252
fun DETERM_UNTIL p tac =
8149
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
   253
let val tac = tracify trace_REPEAT tac
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   254
    fun drep st = if p st then SOME (st, Seq.empty)
8149
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
   255
                          else (case Seq.pull(tac st) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   256
                                  NONE        => NONE
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   257
                                | SOME(st',_) => drep st')
8149
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
   258
in  traced_tac drep  end;
941afb897532 added tacticals DETERM_UNTIL and DETERM_UNTIL_SOLVED
oheimb
parents: 7686
diff changeset
   259
13108
wenzelm
parents: 12851
diff changeset
   260
(*Deterministic REPEAT: only retains the first outcome;
703
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   261
  uses less space than REPEAT; tail recursive.
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   262
  If non-negative, n bounds the number of repetitions.*)
13108
wenzelm
parents: 12851
diff changeset
   263
fun REPEAT_DETERM_N n tac =
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   264
  let val tac = tracify trace_REPEAT tac
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   265
      fun drep 0 st = SOME(st, Seq.empty)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   266
        | drep n st =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   267
           (case Seq.pull(tac st) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   268
                NONE       => SOME(st, Seq.empty)
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   269
              | SOME(st',_) => drep (n-1) st')
703
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   270
  in  traced_tac (drep n)  end;
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   271
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   272
(*Allows any number of repetitions*)
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   273
val REPEAT_DETERM = REPEAT_DETERM_N ~1;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   274
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   275
(*General REPEAT: maintains a stack of alternatives; tail recursive*)
13108
wenzelm
parents: 12851
diff changeset
   276
fun REPEAT tac =
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   277
  let val tac = tracify trace_REPEAT tac
13108
wenzelm
parents: 12851
diff changeset
   278
      fun rep qs st =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   279
        case Seq.pull(tac st) of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   280
            NONE       => SOME(st, Seq.make(fn()=> repq qs))
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   281
          | SOME(st',q) => rep (q::qs) st'
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   282
      and repq [] = NONE
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   283
        | repq(q::qs) = case Seq.pull q of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   284
            NONE       => repq qs
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15017
diff changeset
   285
          | SOME(st,q) => rep (q::qs) st
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   286
  in  traced_tac (rep [])  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   287
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   288
(*Repeat 1 or more times*)
703
3a5cd2883581 Pure/tctical/REPEAT_DETERM_N,REPEAT_DETERM1,REPEAT_DETERM_FIRST,
lcp
parents: 671
diff changeset
   289
fun REPEAT_DETERM1 tac = DETERM tac THEN REPEAT_DETERM tac;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   290
fun REPEAT1 tac = tac THEN REPEAT tac;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   291
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   292
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   293
(** Filtering tacticals **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   294
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 3991
diff changeset
   295
fun FILTER pred tac st = Seq.filter pred (tac st);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   296
13650
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13108
diff changeset
   297
(*Accept only next states that change the theorem somehow*)
13108
wenzelm
parents: 12851
diff changeset
   298
fun CHANGED tac st =
wenzelm
parents: 12851
diff changeset
   299
  let fun diff st' = not (Thm.eq_thm (st, st'));
wenzelm
parents: 12851
diff changeset
   300
  in Seq.filter diff (tac st) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   301
13650
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13108
diff changeset
   302
(*Accept only next states that change the theorem's prop field
31bd2a8cdbe2 fixing the cut_tac method to work when there are no instantiations and the
paulson
parents: 13108
diff changeset
   303
  (changes to signature, hyps, etc. don't count)*)
13108
wenzelm
parents: 12851
diff changeset
   304
fun CHANGED_PROP tac st =
wenzelm
parents: 12851
diff changeset
   305
  let fun diff st' = not (Drule.eq_thm_prop (st, st'));
wenzelm
parents: 12851
diff changeset
   306
  in Seq.filter diff (tac st) end;
10821
dcb75538f542 CHANGED_PROP;
wenzelm
parents: 10767
diff changeset
   307
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   308
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   309
(*** Tacticals based on subgoal numbering ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   310
13108
wenzelm
parents: 12851
diff changeset
   311
(*For n subgoals, performs tac(n) THEN ... THEN tac(1)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   312
  Essential to work backwards since tac(i) may add/delete subgoals at i. *)
13108
wenzelm
parents: 12851
diff changeset
   313
fun ALLGOALS tac st =
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   314
  let fun doall 0 = all_tac
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   315
        | doall n = tac(n) THEN doall(n-1)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   316
  in  doall(nprems_of st)st  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   317
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   318
(*For n subgoals, performs tac(n) ORELSE ... ORELSE tac(1)  *)
13108
wenzelm
parents: 12851
diff changeset
   319
fun SOMEGOAL tac st =
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   320
  let fun find 0 = no_tac
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   321
        | find n = tac(n) ORELSE find(n-1)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   322
  in  find(nprems_of st)st  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   323
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   324
(*For n subgoals, performs tac(1) ORELSE ... ORELSE tac(n).
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   325
  More appropriate than SOMEGOAL in some cases.*)
13108
wenzelm
parents: 12851
diff changeset
   326
fun FIRSTGOAL tac st =
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   327
  let fun find (i,n) = if i>n then no_tac else  tac(i) ORELSE find (i+1,n)
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   328
  in  find(1, nprems_of st)st  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   329
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   330
(*Repeatedly solve some using tac. *)
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   331
fun REPEAT_SOME tac = REPEAT1 (SOMEGOAL (REPEAT1 o tac));
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   332
fun REPEAT_DETERM_SOME tac = REPEAT_DETERM1 (SOMEGOAL (REPEAT_DETERM1 o tac));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   333
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   334
(*Repeatedly solve the first possible subgoal using tac. *)
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   335
fun REPEAT_FIRST tac = REPEAT1 (FIRSTGOAL (REPEAT1 o tac));
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   336
fun REPEAT_DETERM_FIRST tac = REPEAT_DETERM1 (FIRSTGOAL (REPEAT_DETERM1 o tac));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   337
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   338
(*For n subgoals, tries to apply tac to n,...1  *)
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   339
fun TRYALL tac = ALLGOALS (TRY o tac);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   340
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   341
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   342
(*Make a tactic for subgoal i, if there is one.  *)
16510
606d919ad3c3 tuned SUBGOAL: Logic.nth_prem instead of List.nth o prems_of;
wenzelm
parents: 16179
diff changeset
   343
fun SUBGOAL goalfun i st =
606d919ad3c3 tuned SUBGOAL: Logic.nth_prem instead of List.nth o prems_of;
wenzelm
parents: 16179
diff changeset
   344
  (case try Logic.nth_prem (i, Thm.prop_of st) of
606d919ad3c3 tuned SUBGOAL: Logic.nth_prem instead of List.nth o prems_of;
wenzelm
parents: 16179
diff changeset
   345
    SOME goal => goalfun (goal, i) st
606d919ad3c3 tuned SUBGOAL: Logic.nth_prem instead of List.nth o prems_of;
wenzelm
parents: 16179
diff changeset
   346
  | NONE => Seq.empty);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   347
5141
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
   348
(*Returns all states that have changed in subgoal i, counted from the LAST
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
   349
  subgoal.  For stac, for example.*)
13108
wenzelm
parents: 12851
diff changeset
   350
fun CHANGED_GOAL tac i st =
7686
4731f10af2e6 fixed CHANGED_GOAL, which is used by stac
paulson
parents: 6390
diff changeset
   351
    let val np = nprems_of st
4731f10af2e6 fixed CHANGED_GOAL, which is used by stac
paulson
parents: 6390
diff changeset
   352
        val d = np-i                 (*distance from END*)
5141
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
   353
        val t = List.nth(prems_of st, i-1)
13108
wenzelm
parents: 12851
diff changeset
   354
        fun diff st' =
wenzelm
parents: 12851
diff changeset
   355
            nprems_of st' - d <= 0   (*the subgoal no longer exists*)
wenzelm
parents: 12851
diff changeset
   356
            orelse
7686
4731f10af2e6 fixed CHANGED_GOAL, which is used by stac
paulson
parents: 6390
diff changeset
   357
             not (Pattern.aeconv (t,
13108
wenzelm
parents: 12851
diff changeset
   358
                                  List.nth(prems_of st',
wenzelm
parents: 12851
diff changeset
   359
                                           nprems_of st' - d - 1)))
5141
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
   360
    in  Seq.filter diff (tac i st)  end
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
   361
    handle Subscript => Seq.empty  (*no subgoal i*);
495a4f9af897 CHANGED_GOAL added to declare a more robust stac
paulson
parents: 4602
diff changeset
   362
4602
0e034d76932e added THEN_ALL_NEW;
wenzelm
parents: 4270
diff changeset
   363
fun (tac1 THEN_ALL_NEW tac2) i st =
8535
7428194b39f7 ALLGOALS_RANGE superceded by Seq.INTERVAL;
wenzelm
parents: 8366
diff changeset
   364
  st |> (tac1 i THEN (fn st' => Seq.INTERVAL tac2 i (i + nprems_of st' - nprems_of st) st'));
4602
0e034d76932e added THEN_ALL_NEW;
wenzelm
parents: 4270
diff changeset
   365
8341
8f0f0ae02b10 added REPEAT_ALL_NEW;
wenzelm
parents: 8149
diff changeset
   366
(*repeatedly dig into any emerging subgoals*)
8f0f0ae02b10 added REPEAT_ALL_NEW;
wenzelm
parents: 8149
diff changeset
   367
fun REPEAT_ALL_NEW tac =
8f0f0ae02b10 added REPEAT_ALL_NEW;
wenzelm
parents: 8149
diff changeset
   368
  tac THEN_ALL_NEW (TRY o (fn i => REPEAT_ALL_NEW tac i));
8f0f0ae02b10 added REPEAT_ALL_NEW;
wenzelm
parents: 8149
diff changeset
   369
2005
a52f53caf424 Optimized version of SELECT_GOAL, up to 10% faster
paulson
parents: 1643
diff changeset
   370
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   371
(*Strips assumptions in goal yielding  ( [x1,...,xm], [H1,...,Hn], B )
13108
wenzelm
parents: 12851
diff changeset
   372
    H1,...,Hn are the hypotheses;  x1...xm are variants of the parameters.
wenzelm
parents: 12851
diff changeset
   373
  Main difference from strip_assums concerns parameters:
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   374
    it replaces the bound variables by free variables.  *)
13108
wenzelm
parents: 12851
diff changeset
   375
fun strip_context_aux (params, Hs, Const("==>", _) $ H $ B) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   376
        strip_context_aux (params, H::Hs, B)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   377
  | strip_context_aux (params, Hs, Const("all",_)$Abs(a,T,t)) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   378
        let val (b,u) = variant_abs(a,T,t)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   379
        in  strip_context_aux ((b,T)::params, Hs, u)  end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   380
  | strip_context_aux (params, Hs, B) = (rev params, rev Hs, B);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   381
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   382
fun strip_context A = strip_context_aux ([],[],A);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   383
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   384
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   385
(**** METAHYPS -- tactical for using hypotheses as meta-level assumptions
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   386
       METAHYPS (fn prems => tac prems) i
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   387
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   388
converts subgoal i, of the form !!x1...xm. [| A1;...;An] ==> A into a new
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   389
proof state A==>A, supplying A1,...,An as meta-level assumptions (in
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   390
"prems").  The parameters x1,...,xm become free variables.  If the
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   391
resulting proof state is [| B1;...;Bk] ==> C (possibly assuming A1,...,An)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   392
then it is lifted back into the original context, yielding k subgoals.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   393
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   394
Replaces unknowns in the context by Frees having the prefix METAHYP_
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   395
New unknowns in [| B1;...;Bk] ==> C are lifted over x1,...,xm.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   396
DOES NOT HANDLE TYPE UNKNOWNS.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   397
****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   398
13108
wenzelm
parents: 12851
diff changeset
   399
local
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   400
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   401
  (*Left-to-right replacements: ctpairs = [...,(vi,ti),...].
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   402
    Instantiates distinct free variables by terms of same type.*)
13108
wenzelm
parents: 12851
diff changeset
   403
  fun free_instantiate ctpairs =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   404
      forall_elim_list (map snd ctpairs) o forall_intr_list (map fst ctpairs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   405
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   406
  fun free_of s ((a,i), T) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   407
        Free(s ^ (case i of 0 => a | _ => a ^ "_" ^ string_of_int i),
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   408
             T)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   409
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   410
  fun mk_inst (var as Var(v,T))  = (var,  free_of "METAHYP1_" (v,T))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   411
in
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   412
13108
wenzelm
parents: 12851
diff changeset
   413
fun metahyps_aux_tac tacf (prem,i) state =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   414
  let val {sign,maxidx,...} = rep_thm state
230
ec8a2b6aa8a7 Many other files modified as follows:
lcp
parents: 67
diff changeset
   415
      val cterm = cterm_of sign
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   416
      (*find all vars in the hyps -- should find tvars also!*)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   417
      val hyps_vars = foldr add_term_vars [] (Logic.strip_assums_hyp prem)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   418
      val insts = map mk_inst hyps_vars
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   419
      (*replace the hyps_vars by Frees*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   420
      val prem' = subst_atomic insts prem
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   421
      val (params,hyps,concl) = strip_context prem'
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   422
      val fparams = map Free params
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   423
      val cparams = map cterm fparams
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   424
      and chyps = map cterm hyps
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   425
      val hypths = map assume chyps
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   426
      fun swap_ctpair (t,u) = (cterm u, cterm t)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   427
      (*Subgoal variables: make Free; lift type over params*)
13108
wenzelm
parents: 12851
diff changeset
   428
      fun mk_subgoal_inst concl_vars (var as Var(v,T)) =
wenzelm
parents: 12851
diff changeset
   429
          if var mem concl_vars
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   430
          then (var, true, free_of "METAHYP2_" (v,T))
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   431
          else (var, false,
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   432
                free_of "METAHYP2_" (v, map #2 params --->T))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   433
      (*Instantiate subgoal vars by Free applied to params*)
13108
wenzelm
parents: 12851
diff changeset
   434
      fun mk_ctpair (t,in_concl,u) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   435
          if in_concl then (cterm t,  cterm u)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   436
          else (cterm t,  cterm (list_comb (u,fparams)))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   437
      (*Restore Vars with higher type and index*)
13108
wenzelm
parents: 12851
diff changeset
   438
      fun mk_subgoal_swap_ctpair
wenzelm
parents: 12851
diff changeset
   439
                (t as Var((a,i),_), in_concl, u as Free(_,U)) =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   440
          if in_concl then (cterm u, cterm t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   441
          else (cterm u, cterm(Var((a, i+maxidx), U)))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   442
      (*Embed B in the original context of params and hyps*)
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   443
      fun embed B = list_all_free (params, Logic.list_implies (hyps, B))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   444
      (*Strip the context using elimination rules*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   445
      fun elim Bhyp = implies_elim_list (forall_elim_list cparams Bhyp) hypths
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   446
      (*A form of lifting that discharges assumptions.*)
13108
wenzelm
parents: 12851
diff changeset
   447
      fun relift st =
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   448
        let val prop = #prop(rep_thm st)
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   449
            val subgoal_vars = (*Vars introduced in the subgoals*)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   450
                  foldr add_term_vars [] (Logic.strip_imp_prems prop)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   451
            and concl_vars = add_term_vars (Logic.strip_imp_concl prop, [])
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   452
            val subgoal_insts = map (mk_subgoal_inst concl_vars) subgoal_vars
13664
cfe1dc32c2e5 No more explicit manipulation of flex-flex constraints in metahyps_aux_tac.
berghofe
parents: 13650
diff changeset
   453
            val st' = Thm.instantiate ([], map mk_ctpair subgoal_insts) st
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   454
            val emBs = map (cterm o embed) (prems_of st')
13664
cfe1dc32c2e5 No more explicit manipulation of flex-flex constraints in metahyps_aux_tac.
berghofe
parents: 13650
diff changeset
   455
            val Cth  = implies_elim_list st' (map (elim o assume) emBs)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   456
        in  (*restore the unknowns to the hypotheses*)
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   457
            free_instantiate (map swap_ctpair insts @
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   458
                              map mk_subgoal_swap_ctpair subgoal_insts)
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   459
                (*discharge assumptions from state in same order*)
13664
cfe1dc32c2e5 No more explicit manipulation of flex-flex constraints in metahyps_aux_tac.
berghofe
parents: 13650
diff changeset
   460
                (implies_intr_list emBs
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   461
                  (forall_intr_list cparams (implies_intr_list chyps Cth)))
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   462
        end
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   463
      val subprems = map (forall_elim_vars 0) hypths
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   464
      and st0 = trivial (cterm concl)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   465
      (*function to replace the current subgoal*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   466
      fun next st = bicompose false (false, relift st, nprems_of st)
2244
dacee519738a Converted I/O operatios for Basis Library compatibility
paulson
parents: 2158
diff changeset
   467
                    i state
17344
8b2f56aff711 Seq.maps;
wenzelm
parents: 16510
diff changeset
   468
  in Seq.maps next (tacf subprems st0) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   469
end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   470
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   471
fun METAHYPS tacf = SUBGOAL (metahyps_aux_tac tacf);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   472
15006
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   473
(*Makes a tactic whose effect on a state is given by thmfun: thm->thm seq.*)
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   474
fun PRIMSEQ thmfun st =  thmfun st handle THM _ => Seq.empty;
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   475
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   476
(*Makes a tactic whose effect on a state is given by thmfun: thm->thm.*)
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   477
fun PRIMITIVE thmfun = PRIMSEQ (Seq.single o thmfun);
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   478
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   479
(* Inverse (more or less) of PRIMITIVE *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   480
fun SINGLE tacf = Option.map fst o Seq.pull o tacf
15006
107e4dfd3b96 Merging the meta-simplifier with the Provers-simplifier. Next step:
skalberg
parents: 13664
diff changeset
   481
		  
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   482
end;
1502
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   483
b612093c8bff Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   484
open Tactical;