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arXiv · 1207.4577

Solving Stochastic Büchi Games on Infinite Arenas with a Finite Attractor

Nathalie Bertrand·Philippe Schnoebelen
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Abstract

We consider games played on an infinite probabilistic arena where the first player aims at satisfying generalized Büchi objectives almost surely, i.e., with probability one. We provide a fixpoint characterization of the winning sets and associated winning strategies in the case where the arena satisfies the finite-attractor property. From this we directly deduce the decidability of these games on probabilistic lossy channel systems.

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Nathalie Bertrand, Philippe Schnoebelen. 2013-06-12. Solving Stochastic Büchi Games on Infinite Arenas with a Finite Attractor. https://doi.org/10.4204/eptcs.117.8

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