A reduction from parity games to simple stochastic games

نویسندگان

  • Krishnendu Chatterjee Institute of Science
  • Technology
  • Nathanael Fijalkow Institute of Science
چکیده

Games on graphs provide a natural model for reactive non-terminating systems. In such games, the interaction of two players on an arena results in an infinite path that describes a run of the system. Different settings are used to model various open systems in computer science, as for instance turnbased or concurrent moves, and deterministic or stochastic transitions. In this paper, we are interested in turn-based games, and specifically in deterministic parity games and stochastic reachability games (also known as simple stochastic games). We present a simple, direct and efficient reduction from deterministic parity games to simple stochastic games: it yields an arena whose size is linear up to a logarithmic factor in size of the original arena.

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تاریخ انتشار 2011