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arXiv · 1407.5449

Quantitative model-checking of controlled discrete-time Markov processes

Ilya Tkachev·Alexandru Mereacre·Joost-Pieter Katoen·Alessandro Abate
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Abstract

This paper focuses on optimizing probabilities of events of interest defined over general controlled discrete-time Markov processes. It is shown that the optimization over a wide class of $\omega$-regular properties can be reduced to the solution of one of two fundamental problems: reachability and repeated reachability. We provide a comprehensive study of the former problem and an initial characterisation of the (much more involved) latter problem. A case study elucidates concepts and techniques.

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BibTeXRIS

Ilya Tkachev, Alexandru Mereacre, Joost-Pieter Katoen, Alessandro Abate. 2014-07-21. Quantitative model-checking of controlled discrete-time Markov processes. https://arxiv.org/abs/1407.5449

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