Infinite-state games with finitary conditions

Authors Krishnendu Chatterjee, Nathanaël Fijalkow

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Krishnendu Chatterjee
Nathanaël Fijalkow

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Krishnendu Chatterjee and Nathanaël Fijalkow. Infinite-state games with finitary conditions. In Computer Science Logic 2013 (CSL 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 23, pp. 181-196, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)


We study two-player zero-sum games over infinite-state graphs equipped with omega-B and finitary conditions. Our first contribution is about the strategy complexity, i.e the memory required for winning strategies: we prove that over general infinite-state graphs, memoryless strategies are sufficient for finitary Büchi, and finite-memory suffices for finitary parity games. We then study pushdown games with boundedness conditions, with two contributions. First we prove a collapse result for pushdown games with omega-B-conditions, implying the decidability of solving these games. Second we consider pushdown games with finitary parity along with stack boundedness conditions, and show that solving these games is EXPTIME-complete.
  • Two-player games
  • Infinite-state systems
  • Pushdown games
  • Bounds in omega-regularity
  • Synthesis


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