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 x 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 PSPACE-completeness of the generalized version of the full game.
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Guangdong Univ Technol, Dept Appl Math, Guangzhou, Guangdong, Peoples R ChinaGuangdong Univ Technol, Dept Appl Math, Guangzhou, Guangdong, Peoples R China
He, Weihua
Liu, Ziwen
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South China Univ Technol, Sch Software Engn, Guangzhou, Guangdong, Peoples R ChinaGuangdong Univ Technol, Dept Appl Math, Guangzhou, Guangdong, Peoples R China
Liu, Ziwen
Yang, Chao
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Sun Yat Sen Univ, Sch Math, Guangzhou, Guangdong, Peoples R ChinaGuangdong Univ Technol, Dept Appl Math, Guangzhou, Guangdong, Peoples R China
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Department of Mathematics and Mathematical Statistics, Umeå University, SwedenDepartment of Mathematics and Mathematical Statistics, Umeå University, Sweden
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Univ Fed Rio Grande do Sul, Inst Informat, BR-90046900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Informat, BR-90046900 Porto Alegre, RS, Brazil
Pereira, Andre G.
Ritt, Marcus
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Univ Fed Rio Grande do Sul, Inst Informat, BR-90046900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Informat, BR-90046900 Porto Alegre, RS, Brazil
Ritt, Marcus
Buriol, Luciana S.
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Univ Fed Rio Grande do Sul, Inst Informat, BR-90046900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Inst Informat, BR-90046900 Porto Alegre, RS, Brazil