src/HOLCF/Tr2.thy
author paulson
Mon, 23 Sep 1996 18:18:18 +0200
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Simplification of definition of synth
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(*  Title:      HOLCF/tr2.thy
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    ID:         $Id$
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    Author:     Franz Regensburger
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    Copyright   1993 Technische Universitaet Muenchen
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Introduce infix if_then_else_fi and boolean connectives andalso, orelse
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*)
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Tr2 = Tr1 +
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consts
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        Icifte          :: "tr -> 'c -> 'c -> 'c"
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        trand           :: "tr -> tr -> tr"
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        tror            :: "tr -> tr -> tr"
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        neg             :: "tr -> tr"
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syntax  "@cifte"        :: "tr=>'c=>'c=>'c"
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                             ("(3If _/ (then _/ else _) fi)" 60)
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        "@andalso"      :: "tr => tr => tr" ("_ andalso _" [36,35] 35)
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        "@orelse"       :: "tr => tr => tr" ("_ orelse _"  [31,30] 30)
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translations "x andalso y" == "trand`x`y"
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             "x orelse y"  == "tror`x`y"
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             "If b then e1 else e2 fi" == "Icifte`b`e1`e2"
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defs
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  ifte_def    "Icifte == (LAM t e1 e2.tr_when`e1`e2`t)"
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  andalso_def "trand == (LAM t1 t2.tr_when`t2`FF`t1)"
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  orelse_def  "tror  == (LAM t1 t2.tr_when`TT`t2`t1)"
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  neg_def     "neg == (LAM t. tr_when`FF`TT`t)"
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end