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(* Title: HOL/UNITY/WFair
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ID: $Id$
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory
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Copyright 1998 University of Cambridge
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Weak Fairness versions of transient, ensures, leadsTo.
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From Misra, "A Logic for Concurrent Programming", 1994
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*)
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WFair = Traces + Vimage +
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constdefs
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transient :: "[('a * 'a)set set, 'a set] => bool"
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"transient Acts A == EX act:Acts. A <= Domain act & act^^A <= Compl A"
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ensures :: "[('a * 'a)set set, 'a set, 'a set] => bool"
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"ensures Acts A B == constrains Acts (A-B) (A Un B) & transient Acts (A-B)"
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consts leadsTo :: "[('a * 'a)set set, 'a set, 'a set] => bool"
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leadsto :: "[('a * 'a)set set] => ('a set * 'a set) set"
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translations
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"leadsTo Acts A B" == "(A,B) : leadsto Acts"
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inductive "leadsto Acts"
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intrs
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Basis "ensures Acts A B ==> leadsTo Acts A B"
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Trans "[| leadsTo Acts A B; leadsTo Acts B C |]
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==> leadsTo Acts A C"
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Union "(UN A:S. {(A,B)}) : Pow (leadsto Acts)
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==> leadsTo Acts (Union S) B"
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monos "[Pow_mono]"
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constdefs wlt :: "[('a * 'a)set set, 'a set] => 'a set"
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"wlt Acts B == Union {A. leadsTo Acts A B}"
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end
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