src/Sequents/ILL/ILL_predlog.thy
author wenzelm
Fri, 05 Feb 1999 21:14:17 +0100
changeset 6252 935f183bf406
child 14854 61bdf2ae4dc5
permissions -rw-r--r--
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(* 
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    File:	 /Nfs/toton/usr20/sk/isa_files/ll/NEW/pred_log.thy
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    Theory Name: pred_log
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    Logic Image: HOL
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*)
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ILL_predlog  =  ILL +
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types
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    plf
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arities
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    plf :: logic
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consts
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  "&"   :: "[plf,plf] => plf"   (infixr 35)
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  "|"   :: "[plf,plf] => plf"   (infixr 35)
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  ">"   :: "[plf,plf] => plf"   (infixr 35)
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  "="   :: "[plf,plf] => plf"   (infixr 35)
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  "@NG" :: "plf => plf"   ("- _ " [50] 55)
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  ff    :: "plf"
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  PL    :: "plf => o"      ("[* / _ / *]" [] 100)
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translations
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  "[* A & B *]" == "[*A*] && [*B*]" 
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  "[* A | B *]" == "![*A*] ++ ![*B*]"
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  "[* - A *]"   == "[*A > ff*]"
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  "[* ff *]"    == "0"
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  "[* A = B *]" => "[* (A > B) & (B > A) *]"
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  "[* A > B *]" == "![*A*] -o [*B*]"
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(* another translations for linear implication:
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  "[* A > B *]" == "!([*A*] -o [*B*])" *)
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end