Generalized Parity Games

@inproceedings{Chatterjee2007GeneralizedPG,
  title={Generalized Parity Games},
  author={Krishnendu Chatterjee and Thomas A. Henzinger and Nir Piterman},
  booktitle={FoSSaCS},
  year={2007}
}
We consider games where the winning conditions are disjunctions (or dually, conjunctions) of parity conditions; we call them generalized parity games. These winning conditions, while ω-regular, arise naturally when considering fair simulation between parity automata, secure equilibria for parity conditions, and determinization of Rabin automata. We show that these games retain the computational complexity of Rabin and Streett conditions; i.e., they are NP-complete and co-NP-complete… 

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