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Reachability is decidable for weakly extended process rewrite systems
Information and Computation
APLAS '09 Proceedings of the 7th Asian Symposium on Programming Languages and Systems
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CONCUR'11 Proceedings of the 22nd international conference on Concurrency theory
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FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
ICTAC'12 Proceedings of the 9th international conference on Theoretical Aspects of Computing
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We examine the problem whether a given weakly extended process rewrite system (wPRS) contains a reachable state satisfying a given formula of Hennessy–Milner logic. We show that this problem is decidable. As a corollary we observe that the problem of strong bisimilarity between wPRS and finite-state systems is decidable. Decidability of the same problem for wPRS subclasses, namely PAN and PRS, has been formulated as an open question, see e.g. [Srb02]. We also strengthen some related undecidability results on some PRS subclasses.