Solving Stochastic B\"uchi Games on Infinite Arenas with a Finite   Attractor
  We consider games played on an infinite probabilistic arena where the first player aims at satisfying generalized B\"uchi 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. 
Nathalie Bertrand (Inria Rennes Bretagne Atlantique), Philippe   Schnoebelen (LSV, CNRS and ENS Cachan)
cs.LO cs.FL cs.GT