src/Sequents/T.thy
changeset 17481 75166ebb619b
parent 2073 fb0655539d05
child 21426 87ac12bed1ab
--- a/src/Sequents/T.thy	Sun Sep 18 14:25:48 2005 +0200
+++ b/src/Sequents/T.thy	Sun Sep 18 15:20:08 2005 +0200
@@ -1,30 +1,36 @@
-(*  Title:      Modal/T
+(*  Title:      Modal/T.thy
     ID:         $Id$
     Author:     Martin Coen
     Copyright   1991  University of Cambridge
 *)
 
-T = Modal0 +
-rules
+theory T
+imports Modal0
+begin
+
+axioms
 (* Definition of the star operation using a set of Horn clauses *)
 (* For system T:  gamma * == {P | []P : gamma}                  *)
 (*                delta * == {P | <>P : delta}                  *)
 
-  lstar0         "|L>"
-  lstar1         "$G |L> $H ==> []P, $G |L> P, $H"
-  lstar2         "$G |L> $H ==>   P, $G |L>    $H"
-  rstar0         "|R>"
-  rstar1         "$G |R> $H ==> <>P, $G |R> P, $H"
-  rstar2         "$G |R> $H ==>   P, $G |R>    $H"
+  lstar0:         "|L>"
+  lstar1:         "$G |L> $H ==> []P, $G |L> P, $H"
+  lstar2:         "$G |L> $H ==>   P, $G |L>    $H"
+  rstar0:         "|R>"
+  rstar1:         "$G |R> $H ==> <>P, $G |R> P, $H"
+  rstar2:         "$G |R> $H ==>   P, $G |R>    $H"
 
 (* Rules for [] and <> *)
 
-  boxR
-   "[| $E |L> $E';  $F |R> $F';  $G |R> $G';  
+  boxR:
+   "[| $E |L> $E';  $F |R> $F';  $G |R> $G';
                $E'        |- $F', P, $G'|] ==> $E          |- $F, []P, $G"
-  boxL     "$E, P, $F  |-         $G    ==> $E, []P, $F |-          $G"
-  diaR     "$E         |- $F, P,  $G    ==> $E          |- $F, <>P, $G"
-  diaL
-   "[| $E |L> $E';  $F |L> $F';  $G |R> $G';  
+  boxL:     "$E, P, $F  |-         $G    ==> $E, []P, $F |-          $G"
+  diaR:     "$E         |- $F, P,  $G    ==> $E          |- $F, <>P, $G"
+  diaL:
+   "[| $E |L> $E';  $F |L> $F';  $G |R> $G';
                $E', P, $F'|-         $G'|] ==> $E, <>P, $F |-          $G"
+
+ML {* use_legacy_bindings (the_context ()) *}
+
 end