src/Sequents/Modal0.thy
author wenzelm
Sun, 18 Sep 2005 15:20:08 +0200
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(*  Title:      Sequents/Modal0.thy
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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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theory Modal0
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imports LK0
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uses "modal.ML"
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begin
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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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  ">-<"         :: "[o,o]=>o"   (infixr 25)
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  Lstar         :: "two_seqi"
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  Rstar         :: "two_seqi"
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syntax
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  "@Lstar"      :: "two_seqe"   ("(_)|L>(_)" [6,6] 5)
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  "@Rstar"      :: "two_seqe"   ("(_)|R>(_)" [6,6] 5)
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ML {*
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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)$ seq_tr s1$ seq_tr s2;
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  fun star_tr' c [s1,s2] = Const(c,dummyT) $ seq_tr' s1 $ seq_tr' s2;
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*}
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parse_translation {* [(SLstar,star_tr Lstar), (SRstar,star_tr Rstar)] *}
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print_translation {* [(Lstar,star_tr' SLstar), (Rstar,star_tr' SRstar)] *}
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defs
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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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ML {* use_legacy_bindings (the_context ()) *}
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end