Playing Pushdown Parity Games in a Hurry

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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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We present a new algorithm for computing the winning region of a parity game played over the configuration graph of a pushdown system. Our method gives the first extension of the saturation technique to the parity condition. Finite word automata are used to represent sets of pushdown configurations. Starting from an initial automaton, we perform a series of automaton transformations to compute ...

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ژورنال

عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science

سال: 2012

ISSN: 2075-2180

DOI: 10.4204/eptcs.96.14