src/Sequents/Modal0.ML
author wenzelm
Sat, 21 Nov 1998 12:17:18 +0100
changeset 5944 dcc446da8e19
parent 2073 fb0655539d05
child 17481 75166ebb619b
permissions -rw-r--r--
added undos, redos;
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
2073
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     1
(*  Title:      Modal/modal0
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     2
    ID:         $Id$
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     3
    Author:     Martin Coen
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     4
    Copyright   1991  University of Cambridge
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     5
*)
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     6
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     7
structure Modal0_rls = 
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     8
struct
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
     9
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    10
val rewrite_rls = [Modal0.strimp_def,Modal0.streqv_def];
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    11
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    12
local
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    13
  val iffR = prove_goal thy 
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    14
      "[| $H,P |- $E,Q,$F;  $H,Q |- $E,P,$F |] ==> $H |- $E, P <-> Q, $F"
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    15
   (fn prems=>
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    16
    [ (rewtac iff_def),
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    17
      (REPEAT (resolve_tac (prems@[conjR,impR]) 1)) ]);
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    18
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    19
  val iffL = prove_goal thy 
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    20
     "[| $H,$G |- $E,P,Q;  $H,Q,P,$G |- $E |] ==> $H, P <-> Q, $G |- $E"
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    21
   (fn prems=>
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    22
    [ rewtac iff_def,
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    23
      (REPEAT (resolve_tac (prems@[conjL,impL,basic]) 1)) ])
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    24
in
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    25
val safe_rls   = [basic,conjL,conjR,disjL,disjR,impL,impR,notL,notR,iffL,iffR];
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    26
val unsafe_rls = [allR,exL];
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    27
val bound_rls  = [allL,exR];
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    28
end
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    29
fb0655539d05 New unified treatment of sequent calculi by Sara Kalvala
paulson
parents:
diff changeset
    30
end;