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Linear Time Temporal Logics over Mazurkiewicz Traces
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Algorithmic Verification of Linear Temporal Logic Specifications
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LICS '95 Proceedings of the 10th Annual IEEE Symposium on Logic in Computer Science
Difficult Configurations—On the Complexity of LTrL
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Uniform satisfiability problem for local temporal logics over Mazurkiewicz traces
CONCUR 2005 - Concurrency Theory
Uniform Satisfiability in PSPACE for Local Temporal Logics Over Mazurkiewicz Traces
Fundamenta Informaticae - Half a Century of Inspirational Research: Honoring the Scientific Influence of Antoni Mazurkiewicz
Temporal logics for concurrent recursive programs: satisfiability and model checking
MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
The Complexity of Model Checking Multi-stack Systems
LICS '13 Proceedings of the 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science
Building Occurrence Nets from Reveals Relations
Fundamenta Informaticae
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We continue our study of the complexity of MSO-definable local temporal logics over concurrent systems that can be described by Mazurkiewicz traces. In previous papers, we showed that the satisfiability problem for any such logic is in PSPACE (provided the dependence alphabet is fixed, Gastin and Kuske (2003) [10]) and remains in PSPACE for all classical local temporal logics even if the dependence alphabet is part of the input, Gastin and Kuske (2007) [8]. In this paper, we consider the uniform satisfiability problem for arbitrary MSO-definable local temporal logics. For this problem, we prove multi-exponential lower and upper bounds that depend on the number of alternations of set quantifiers present in the chosen MSO-modalities.