Positional Determinacy of Parity Games

Christoph Dittmann

2 November 2015

Abstract

We present a formalization of parity games (a two-player game on directed graphs) and a proof of their positional determinacy in Isabelle/HOL. This proof works for both finite and infinite games.
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@article{Parity_Game-AFP,
  author  = {Christoph Dittmann},
  title   = {Positional Determinacy of Parity Games},
  journal = {Archive of Formal Proofs},
  month   = November,
  year    = 2015,
  note    = {\url{http://isa-afp.org/entries/Parity_Game.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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