2005Unpublished venueOpen access

Liveness Checking as Safety Checking for Infinite State Spaces.

Viktor Schuppan, Armin Biere

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Abstract

In previous work we have developed a syntactic reduction of repeated reachability to reachability for finite state systems. This may lead to simpler and more uniform proofs for model checking of liveness properties, help to find shortest counterexamples, and overcome limitations of closed-source model-checking tools. In this paper we show that a similar reduction can be applied to a number of infinite state systems, namely, (#-)regular model checking, push-down systems, and timed automata.

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What this paper is about

In previous work we have developed a syntactic reduction of repeated reachability to reachability for finite state systems. This may lead to simpler and more uniform proofs for model checking of liveness properties, help to find shortest counterexamples, and overcome limitations of closed-source model-checking tools. In this paper we show that a similar reduction can be applied to a number of infinite state systems, namely, (#-)regular model checking, push-down systems, and timed automata.

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Available abstract

In previous work we have developed a syntactic reduction of repeated reachability to reachability for finite state systems. This may lead to simpler and more uniform proofs for model checking of liveness properties, help to find shortest counterexamples, and overcome limitations of closed-source model-checking tools. In this paper we show that a similar reduction can be applied to a number of infinite state systems, namely, (#-)regular model checking, push-down systems, and timed automata.

Key concepts: Liveness, Reachability, Model checking, Mathematical proof, Counterexample, Reduction (mathematics), Computer science, Automaton

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