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arXiv · 1305.5228

Stochastic Parity Games on Lossy Channel Systems

Parosh Aziz Abdulla·Lorenzo Clemente·Richard Mayr·Sven Sandberg
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Abstract

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on lossy channel systems, for the case where the players are restricted to finite-memory strategies. First, we describe a general framework, where we consider the class of 2.5-player games with almost-sure parity winning conditions on possibly infinite game graphs, assuming that the game contains a finite attractor. An attractor is a set of states (not necessarily absorbing) that is almost surely re-visited regardless of the players' decisions. We present a scheme that characterizes the set of winning states for each player. Then, we instantiate this scheme to obtain an algorithm for stochastic game lossy channel systems.

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Parosh Aziz Abdulla, Lorenzo Clemente, Richard Mayr, Sven Sandberg. 2013-06-13. Stochastic Parity Games on Lossy Channel Systems. https://arxiv.org/abs/1305.5228

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