(* Title: 91/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" :: "[sequence,sequence]=>prop" ("(_)|L>(_)" [6,6] 5)
"@Rstar" :: "[sequence,sequence]=>prop" ("(_)|R>(_)" [6,6] 5)
Lstar,Rstar :: "[sobj=>sobj,sobj=>sobj]=>prop"
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)$LK.seq_tr1 s1$LK.seq_tr1 s2;
fun star_tr' c [Abs(_,_,s1),Abs(_,_,s2)] =
Const(c,dummyT) $ LK.seq_tr1' s1 $ LK.seq_tr1' 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;