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arXiv · 1210.0574

Efficient Parallel Path Checking for Linear-Time Temporal Logic With Past and Bounds

Lars Kuhtz·Bernd Finkbeiner
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Abstract

Path checking, the special case of the model checking problem where the model under consideration is a single path, plays an important role in monitoring, testing, and verification. We prove that for linear-time temporal logic (LTL), path checking can be efficiently parallelized. In addition to the core logic, we consider the extensions of LTL with bounded-future (BLTL) and past-time (LTL+Past) operators. Even though both extensions improve the succinctness of the logic exponentially, path checking remains efficiently parallelizable: Our algorithm for LTL, LTL+Past, and BLTL+Past is in AC^1(logDCFL) \subseteq NC.

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Lars Kuhtz, Bernd Finkbeiner. 2012-10-01. Efficient Parallel Path Checking for Linear-Time Temporal Logic With Past and Bounds. https://doi.org/10.2168/lmcs-8(4:10)2012

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