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arXiv · 1911.03122

Promptness and Bounded Fairness in Concurrent and Parameterized Systems

Swen Jacobs·Mouhammad Sakr·Martin Zimmermann
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Abstract

We investigate the satisfaction of specifications in Prompt Linear Temporal Logic (Prompt-LTL) by concurrent systems. Prompt-LTL is an extension of LTL that allows to specify parametric bounds on the satisfaction of eventualities, thus adding a quantitative aspect to the specification language. We establish a connection between bounded fairness, bounded stutter equivalence, and the satisfaction of Prompt-LTL\X formulas. Based on this connection, we prove the first cutoff results for different classes of systems with a parametric number of components and quantitative specifications, thereby identifying previously unknown decidable fragments of the parameterized model checking problem.

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Swen Jacobs, Mouhammad Sakr, Martin Zimmermann. 2019-11-08. Promptness and Bounded Fairness in Concurrent and Parameterized Systems. https://arxiv.org/abs/1911.03122

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