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(* Title: 91/Modal/modal0
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ID: $Id$
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Author: Martin Coen
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Copyright 1991 University of Cambridge
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*)
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Modal0 = LK +
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consts
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box :: "o=>o" ("[]_" [50] 50)
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dia :: "o=>o" ("<>_" [50] 50)
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"--<",">-<" :: "[o,o]=>o" (infixr 25)
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"@Lstar" :: "[sequence,sequence]=>prop" ("(_)|L>(_)" [6,6] 5)
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"@Rstar" :: "[sequence,sequence]=>prop" ("(_)|R>(_)" [6,6] 5)
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Lstar,Rstar :: "[sobj=>sobj,sobj=>sobj]=>prop"
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rules
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(* Definitions *)
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strimp_def "P --< Q == [](P --> Q)"
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streqv_def "P >-< Q == (P --< Q) & (Q --< P)"
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end
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ML
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local
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val Lstar = "Lstar";
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val Rstar = "Rstar";
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val SLstar = "@Lstar";
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val SRstar = "@Rstar";
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fun star_tr c [s1,s2] = Const(c,dummyT)$LK.seq_tr1 s1$LK.seq_tr1 s2;
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fun star_tr' c [Abs(_,_,s1),Abs(_,_,s2)] =
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Const(c,dummyT) $ LK.seq_tr1' s1 $ LK.seq_tr1' s2;
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in
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val parse_translation = [(SLstar,star_tr Lstar), (SRstar,star_tr Rstar)];
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val print_translation = [(Lstar,star_tr' SLstar), (Rstar,star_tr' SRstar)]
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end;
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