src/Sequents/Modal0.thy

+(*  Title:      Modal/modal0
+    ID:         $Id$
+    Author:     Martin Coen
+    Copyright   1991  University of Cambridge
+*)
+
+Modal0 = LK +
+
+consts
+  box           :: "o=>o"       ("[]_" [50] 50)
+  dia           :: "o=>o"       ("<>_" [50] 50)
+  "--<",">-<"   :: "[o,o]=>o"   (infixr 25)
+  "@Lstar"      :: "two_seqe"   ("(_)|L>(_)" [6,6] 5)
+  "@Rstar"      :: "two_seqe"   ("(_)|R>(_)" [6,6] 5)
+  Lstar,Rstar   :: "two_seqi"
+
+rules
+  (* Definitions *)
+
+  strimp_def    "P --< Q == [](P --> Q)"
+  streqv_def    "P >-< Q == (P --< Q) & (Q --< P)"
+end
+
+ML
+
+local
+
+  val Lstar = "Lstar";
+  val Rstar = "Rstar";
+  val SLstar = "@Lstar";
+  val SRstar = "@Rstar";
+
+  fun star_tr c [s1,s2] =
+      Const(c,dummyT)$Sequents.seq_tr s1$Sequents.seq_tr s2;
+  fun star_tr' c [s1,s2] = 
+      Const(c,dummyT) $ Sequents.seq_tr' s1 $ Sequents.seq_tr' s2;
+in
+val parse_translation = [(SLstar,star_tr Lstar), (SRstar,star_tr Rstar)];
+val print_translation = [(Lstar,star_tr' SLstar), (Rstar,star_tr' SRstar)]
+end;