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Stochastic parity games on lossy channel systems

par Abdulla, Parosh Aziz;Sandberg, Sven;Clemente, Lorenzo ;Mayr, Richard
Référence Logical methods in computer science, 10, 4, 21
Publication Publié, 2014-12

Article révisé par les pairs

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Résumé :

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on lossy channel systems, under the constraint that both players are restricted to finitememory strategies. First, we describe a general framework, where we consider the class of 2 1/2-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.