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Quantitative model-checking of controlled discrete-time Markov processes

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arxiv 1407.5449 v1 pith:QNM2OISY submitted 2014-07-21 math.PR cs.FLcs.SYeess.SYmath.OC

Quantitative model-checking of controlled discrete-time Markov processes

classification math.PR cs.FLcs.SYeess.SYmath.OC
keywords controlleddiscrete-timemarkovproblemprocessesreachabilitycasecharacterisation
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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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