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Paper · arXiv

Automated Approach for Solving Infinite-state Polynomial Reachability Games

Reachability games are two-player games played on a graph, where the objective of $\texttt{REACH}$ player is to reach the target set whereas the objective of $\texttt{SAFE}$ player is to stay away from the target set. Reachability games have important applications in artificial intelligence and reactive synthesis, and many of these applications give rise to infinite-state reachability games. In this paper, we study turn-based reachability games on infinite-state graphs defined over valuations of a finite set of real variables. We consider the problem of determining the existence of and computing a winning strategy for $\texttt{REACH}$ player. Our contributions are twofold. First, we propo...

AuthorsKrishnendu Chatterjee, Ehsan Kafshdar Goharshady, Mehrdad Karrabi et al.
Primary categorycs.AI
Published11 May 2026
Last updated at source11 May 2026
cs.AIcs.GT
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