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Winning Cores in Parity Games

机译:奇偶游戏的制胜核心

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摘要

We introduce the novel notion of winning cores in parity games and develop a deterministic polynomial-time under-approximation algorithm for solving parity games based on winning core approximation. Underlying this algorithm are a number properties about winning cores which are interesting in their own right. In particular, we show that the winning core and the winning region for a player in a parity game are equivalently empty. Moreover, the winning core contains all fatal attractors but is not necessarily a dominion itself. Experimental results are very positive both with respect to quality of approximation and running time. It outperforms existing state-of-the-art algorithms significantly on most benchmarks.
机译:我们介绍了奇偶游戏中获胜核心的新颖概念,并开发了一种确定性多项式时间欠逼近算法,用于基于获胜核心逼近来求解奇偶游戏。该算法的基础是有关获胜核心的许多属性,这些属性本身就是有趣的。尤其是,我们证明了平价游戏中玩家的获胜核心和获胜区域均是空的。而且,获胜的核心包含所有致命的吸引子,但本身并不一定是统治者。在逼近质量和运行时间方面,实验结果都是非常积极的。在大多数基准测试中,它的性能明显优于现有的最新算法。

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