PLAYING MULLER GAMES IN A HURRY

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Playing Muller Games in a Hurry

This work considers a finite-duration variant of Muller games, and their connection to infinite-duration Muller games. In particular, it studies the question of how long a finiteduration Muller game must be played before the winner of the finite-duration game is guaranteed to be able to win the corresponding infinite-duration game. Previous work by McNaughton has shown that this must occur afte...

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Playing Pushdown Parity Games in a Hurry

Introduction. Infinite two-player games on graphs are a powerful tool to model, verify, and synthesize open reactive systems and are closely related to fixed-point logics. The winner of a play in such a game typically emerges only after completing the whole (infinite) play. Despite this, McNaughton became interested in playing infinite games in finite time, motivated by his belief that “infinit...

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Playing Pushdown Parity Games in a Hurry ( Extended Abstract )

We continue the investigation of finite-duration variants of infinite-duration games by extending known results for games played on finite graphs to those played on infinite ones. In particular, we establish an equivalence between pushdown parity games and a finite-duration variant. This allows to determine the winner of a pushdown parity game by solving a reachability game on a finite tree.

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Solving Muller Games via Safety Games

We show how to transform a Muller game with n vertices into a safety game with (n!) vertices whose solution allows to determine the winning regions of the Muller game and a winning strategy for one player.

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Complexity Bounds for Muller Games

We consider the complexity of infinite games played on finite graphs. We establish a framework in which the expressiveness and succinctness of different types of winning conditions can be compared. We show that the problem of deciding the winner in Muller games is Pspace-complete. This is then used to establish Pspacecompleteness for Emerson-Lei games and for games described by Zielonka DAGs. A...

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ژورنال

عنوان ژورنال: International Journal of Foundations of Computer Science

سال: 2012

ISSN: 0129-0541,1793-6373

DOI: 10.1142/s0129054112400321