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arXiv · 2010.08347

Online Monitoring $\omega$-Regular Properties in Unknown Markov Chains

Javier Esparza·Stefan Kiefer·Jan Kretinsky·Maximilian Weininger
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Abstract

We study runtime monitoring of $\omega$-regular properties. We consider a simple setting in which a run of an unknown finite-state Markov chain $\mathcal M$ is monitored against a fixed but arbitrary $\omega$-regular specification $\varphi$. The purpose of monitoring is to keep aborting runs that are "unlikely" to satisfy the specification until $\mathcal M$ executes a correct run. We design controllers for the reset action that (assuming that $\varphi$ has positive probability) satisfy the following property w.p.1: the number of resets is finite, and the run executed by $\mathcal M$ after the last reset satisfies $\varphi$.

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Javier Esparza, Stefan Kiefer, Jan Kretinsky, Maximilian Weininger. 2020-10-16. Online Monitoring $\omega$-Regular Properties in Unknown Markov Chains. https://doi.org/10.4230/lipics.concur.2021.5

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