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Efficient Simplification of Bisimulation Formulas
 In Proceedings of the Workshop on Tools and Algorithms for the Construction and Analysis of Systems, pages 111132. LNCS 1019
, 1995
"... The problem of checking or optimally simplifying bisimulation formulas is likely to be computationally very hard. We take a different view at the problem: we set out to define a very fast algorithm, and then see what we can obtain. Sometimes our algorithm can simplify a formula perfectly, sometimes ..."
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The problem of checking or optimally simplifying bisimulation formulas is likely to be computationally very hard. We take a different view at the problem: we set out to define a very fast algorithm, and then see what we can obtain. Sometimes our algorithm can simplify a formula perfectly, sometimes it cannot. However, the algorithm is extremely fast and can, therefore, be added to formulabased bisimulation model checkers at practically no cost. When the formula can be simplified by our algorithm, this can have a dramatic positive effect on the better, but also more time consuming, theorem provers which will finish the job. 1 Introduction The need for validity checking or optimal simplification of first order bisimulation formulas has arisen from recent work on symbolic bisimulation checking of valuepassing calculi [4, 9, 15]. The NPcompleteness of checking satisfiability of propositional formulas [3] implies that validity checking of that class of formulas is coNP complete. Addit...
RealTime System Analysis Based On StateSpace Exploration
, 1996
"... RealTime System Analysis based on StateSpace Exploration Inhye Kang Advisors: Insup Lee Traditional approach for analyzing correctness of systems is to identify a set of reachable states and then to analyze this set for verification. This approach is called statespace exploration. Statespace ..."
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RealTime System Analysis based on StateSpace Exploration Inhye Kang Advisors: Insup Lee Traditional approach for analyzing correctness of systems is to identify a set of reachable states and then to analyze this set for verification. This approach is called statespace exploration. Statespace exploration is widely used because it can be easily automated. However verification methods based on statespace exploration suffer from state explosion, so they are impractical for verifying systems with large state spaces. We propose a method for statespace reduction to cope with the state explosion, especially that caused by large data space and time space. The statespace reduction is crucial because in general, the complexities of existing algorithms for automatic analysis, e.g., modelchecking, depend on the size of the state space. Our state reduction approach uses Communicating Timed State Machines(CTSM), a state machine based formal model, to describe realtime systems. In CTSM, ...