• Corpus ID: 233739838

Priority Promotion with Parysian Flair

@article{Benerecetti2021PriorityPW,
  title={Priority Promotion with Parysian Flair},
  author={Massimo Benerecetti and Daniele Dell'Erba and Fabio Mogavero and Sven Schewe and Dominik Wojtczak},
  journal={ArXiv},
  year={2021},
  volume={abs/2105.01738}
}
We develop an algorithm that combines the advantages of priority promotion - the leading approach to solving large parity games in practice - with the quasi-polynomial time guarantees offered by Parys' algorithm. Hybridising these algorithms sounds both natural and difficult, as they both generalise the classic recursive algorithm in different ways that appear to be irreconcilable: while the promotion transcends the call structure, the guarantees change on each level. We show that an interface… 
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TLDR
This work presents a modification of Zielonka’s classic algorithm that brings its complexity down to n O ( log ( 1+ d log n )) , for parity games of size n with d priorities, in line with previous quasipolynomial-time solutions.
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