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1 (* Title: 91/Modal/modal0 |
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2 ID: $Id$ |
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3 Author: Martin Coen |
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4 Copyright 1991 University of Cambridge |
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5 *) |
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6 |
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7 Modal0 = LK + |
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8 |
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9 consts |
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10 box :: "o=>o" ("[]_" [50] 50) |
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11 dia :: "o=>o" ("<>_" [50] 50) |
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12 "--<",">-<" :: "[o,o]=>o" (infixr 25) |
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13 "@Lstar" :: "[sequence,sequence]=>prop" ("(_)|L>(_)" [6,6] 5) |
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14 "@Rstar" :: "[sequence,sequence]=>prop" ("(_)|R>(_)" [6,6] 5) |
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15 Lstar,Rstar :: "[sobj=>sobj,sobj=>sobj]=>prop" |
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16 |
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17 rules |
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18 (* Definitions *) |
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19 |
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20 strimp_def "P --< Q == [](P --> Q)" |
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21 streqv_def "P >-< Q == (P --< Q) & (Q --< P)" |
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22 end |
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23 |
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24 ML |
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25 |
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26 local |
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27 |
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28 val Lstar = "Lstar"; |
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29 val Rstar = "Rstar"; |
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30 val SLstar = "@Lstar"; |
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31 val SRstar = "@Rstar"; |
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32 |
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33 fun star_tr c [s1,s2] = Const(c,dummyT)$LK.seq_tr1 s1$LK.seq_tr1 s2; |
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34 fun star_tr' c [Abs(_,_,s1),Abs(_,_,s2)] = |
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35 Const(c,dummyT) $ LK.seq_tr1' s1 $ LK.seq_tr1' s2; |
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36 in |
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37 val parse_translation = [(SLstar,star_tr Lstar), (SRstar,star_tr Rstar)]; |
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38 val print_translation = [(Lstar,star_tr' SLstar), (Rstar,star_tr' SRstar)] |
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39 end; |