# Deciding the Winner in Parity Games is in UP \cap co-Up

@article{Jurdzinski1998DecidingTW,
title={Deciding the Winner in Parity Games is in UP \cap co-Up},
author={Marcin Jurdzinski},
journal={Inf. Process. Lett.},
year={1998},
volume={68},
pages={119-124}
}
• M. Jurdzinski
• Published 15 November 1998
• Economics
• Inf. Process. Lett.
366 Citations
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A new algorithm for deciding the winner in parity games, and hence also for the modal µ-calculus model checking, based on a notion of game progress measures, characterized as pre-fixed points of certain monotone operators on a complete lattice.
Winning Cores in Parity Games
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• 2016
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• Computer Science
• 2017
A new family of algorithms is presented, based on the idea of promoting vertices to higher priorities during the search for winning regions, for the solution of parity games, exhibiting the best space complexity among the currently known solutions.
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• Computer Science
TACAS
• 2020
A novel algorithm is proposed for the solution of mean-payoff games that merges together two seemingly unrelated concepts introduced in the context of parity games, small progress measures and quasi dominions and significantly speeds up convergence to the problem solution.
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• Computer Science
CIAA
• 2016
Parity games are abstract infinite-round games that take an important role in formal verification and are implemented in a platform named PGSolver, which enabled an empirical evaluation of these algorithms and a better understanding of their relative merits.
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• Linguistics
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• 2011
It is demonstrated that stuttering equivalent vertices have the same winner in the parity game, which means that solving a parity game can be accelerated by minimising the game graph with respect to stuttering equivalence.

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