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arXiv · 1702.05051

Succinct progress measures for solving parity games

Marcin Jurdzinski·Ranko Lazic
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Abstract

The recent breakthrough paper by Calude et al. has given the first algorithm for solving parity games in quasi-polynomial time, where previously the best algorithms were mildly subexponential. We devise an alternative quasi-polynomial time algorithm based on progress measures, which allows us to reduce the space required from quasi-polynomial to nearly linear. Our key technical tools are a novel concept of ordered tree coding, and a succinct tree coding result that we prove using bounded adaptive multi-counters, both of which are interesting in their own right.

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BibTeXRIS

Marcin Jurdzinski, Ranko Lazic. 2017-02-16. Succinct progress measures for solving parity games. https://doi.org/10.1109/lics.2017.8005092

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