1995
DOI: 10.1007/3-540-60360-3_32
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Optimality in abstractions of model checking

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Cited by 40 publications
(29 citation statements)
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“…In particular, this is true for N 0 = S d × {ϕ}, and by the choice of S d , we are guaranteed that whenever the abstraction is precise enough, at least one initial node will be colored by a definite color T or F , in which case by Theorems 4 …”
Section: Theorem 42 Let Mmentioning
confidence: 98%
See 1 more Smart Citation
“…In particular, this is true for N 0 = S d × {ϕ}, and by the choice of S d , we are guaranteed that whenever the abstraction is precise enough, at least one initial node will be colored by a definite color T or F , in which case by Theorems 4 …”
Section: Theorem 42 Let Mmentioning
confidence: 98%
“…Precision of modal (or mixed) transition systems, with ordinary may and must transitions, is studied in [4,7,21]. They suggest constructions of such abstract models which are most precise among all models from this specific class.…”
Section: Introductionmentioning
confidence: 99%
“…• Formalisms that distinguish between fixed behaviours of a system and behaviours that can be customized based on end-user needs, e.g., Parameterized State Machines (Gomaa, 2004) and Mixed Transition Systems (Dams et al, 1997;Cleaveland et al, 1995).…”
Section: Behavioural Modelsmentioning
confidence: 99%
“…Formalisms in this group can be encoded as 3-valued Kripke structures (Chechik et al, 2003). The second group is Mixed Transition Systems (MixTSs) (Dams et al, 1997;Cleaveland et al, 1995). These are LTSs with must and may transitions that do not put any restrictions on the relationship between may and must, and hence, extend MTSs.…”
mentioning
confidence: 99%
“…More precisely, they show how an abstraction function on the set of states (formalised as a Galois connection) can be used to obtain an abstract transition system with the property that every formula in the ® -fragment of the modal mu-calculus can be checked on the abstracted system. Cleaveland, Iyer and Yankelevich [6] introduce democratic Kripke structures that can be obtained from ordinary Kripke structures by replacing the transition relation by two transition relations: a liberal (overestimating the possible transitions) and a conservative (underestimating the possible transitions). These permit to obtain a safe checking algorithm for CTL ÿ -formulae by using the liberal relation when checking universal path properties and the conservative relation when verifying existential properties.…”
Section: Reduction Of Infinite-state Transition Systemsmentioning
confidence: 99%