English

Linear Time Algorithm for Weak Parity Games

Logic in Computer Science 2008-12-18 v1

Abstract

We consider games played on graphs with the winning conditions for the players specified as weak-parity conditions. In weak-parity conditions the winner of a play is decided by looking into the set of states appearing in the play, rather than the set of states appearing infinitely often in the play. A naive analysis of the classical algorithm for weak-parity games yields a quadratic time algorithm. We present a linear time algorithm for solving weak-parity games.

Keywords

Cite

@article{arxiv.0805.1391,
  title  = {Linear Time Algorithm for Weak Parity Games},
  author = {Krishnendu Chatterjee},
  journal= {arXiv preprint arXiv:0805.1391},
  year   = {2008}
}

Comments

7 pages, EECS UC Berkeley Technical Report

R2 v1 2026-06-21T10:39:03.115Z