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Generalized Amazons is PSPACE-Complete

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Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence. Pages 132-136.

Abstract

Amazons is a perfect information board game with simple rules and large branching factors. Two players alternately move chess queen-like pieces and block squares on a 10×10 playing field. The player who makes the last move wins. Amazons endgames usually decompose into independent subgames. Therefore, the game is a natural testbed for combinatorial game theory. It was known that determining the winner of simple generalized Amazons endgames is NP-equivalent. This paper presents two proofs for the PSPACEcompleteness of the generalized version of the full game.

Timothy Furtak, Masashi Kiyomi, Takeaki Uno, and Michael Buro. 2005. Generalized Amazons is PSPACE-Complete. In Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence, IJCAI-05. IJCAI, 132–136. https://ijcai.org/proceedings/2005/158
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