Abstract
We continue our study of the complexity of temporal logics over concurrent systems that can be described by Mazurkiewicz traces. In a previous paper (CONCUR 2003), we investigated the class of local and MSO definable temporal logics that capture all known temporal logics and we showed that the satisfiability problem for any such logic is in PSPACE (provided the dependence alphabet is fixed). In this paper, we concentrate on the uniform satisfiability problem: we consider the dependence alphabet (i.e., the architecture of the distributed system) as part of the input. We prove lower and upper bounds for the uniform satisfiability problem that depend on the number of monadic quantifier alternations present in the chosen MSO-modalities.
Work partly supported by the DAAD-PROCOPE project Temporal and Quantitative Analysis of Distributed Systems.
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Gastin, P., Kuske, D. (2005). Uniform Satisfiability Problem for Local Temporal Logics over Mazurkiewicz Traces. In: Abadi, M., de Alfaro, L. (eds) CONCUR 2005 – Concurrency Theory. CONCUR 2005. Lecture Notes in Computer Science, vol 3653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539452_40
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DOI: https://doi.org/10.1007/11539452_40
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