Positional Determinacy of Parity Games


Title: Positional Determinacy of Parity Games
Author: Christoph Dittmann
Submission date: 2015-11-02
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.
  author  = {Christoph Dittmann},
  title   = {Positional Determinacy of Parity Games},
  journal = {Archive of Formal Proofs},
  month   = nov,
  year    = 2015,
  note    = {\url{http://isa-afp.org/entries/Parity_Game.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Depends on: Coinductive, Graph_Theory
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.