author  paulson 
Fri, 05 Oct 2007 09:59:03 +0200  
changeset 24854  0ebcd575d3c6 
parent 21428  f84cf8e9cad8 
child 27149  123377499a8e 
permissions  rwrr 
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(* Title: LK/LK.ML 
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ID: $Id$ 
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory 
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Copyright 1993 University of Cambridge 
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Axiom to express monotonicity (a variant of the deduction theorem). Makes the 
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link between  and ==>, needed for instance to prove imp_cong. 
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Axiom left_cong allows the simplifier to use leftside formulas. Ideally it 
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should be derived from lowerlevel axioms. 

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CANNOT be added to LK0.thy because modal logic is built upon it, and 
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various modal rules would become inconsistent. 
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*) 
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theory LK 
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imports LK0 

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uses ("simpdata.ML") 

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begin 

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axioms 
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monotonic: "($H  P ==> $H  Q) ==> $H, P  Q" 

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left_cong: "[ P == P';  P' ==> ($H  $F) == ($H'  $F') ] 
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==> (P, $H  $F) == (P', $H'  $F')" 

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use "simpdata.ML" 
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end 