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arXiv · 1312.3979

Accelerating Parametric Probabilistic Verification

Nils Jansen·Florian Corzilius·Matthias Volk·Ralf Wimmer·Erika Ábrahám·Joost-Pieter Katoen·Bernd Becker
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Abstract

We present a novel method for computing reachability probabilities of parametric discrete-time Markov chains whose transition probabilities are fractions of polynomials over a set of parameters. Our algorithm is based on two key ingredients: a graph decomposition into strongly connected subgraphs combined with a novel factorization strategy for polynomials. Experimental evaluations show that these approaches can lead to a speed-up of up to several orders of magnitude in comparison to existing approaches

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Nils Jansen, Florian Corzilius, Matthias Volk, Ralf Wimmer, Erika Ábrahám, Joost-Pieter Katoen, Bernd Becker. 2013-12-13. Accelerating Parametric Probabilistic Verification. https://arxiv.org/abs/1312.3979

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