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Computational Hardness of Multidimensional Subtraction Games
arXiv - CS - Computer Science and Game Theory Pub Date : 2020-01-12 , DOI: arxiv-2001.03962
Vladimir Gurvich; Michael Vyalyi

We study algorithmic complexity of solving subtraction games in a~fixed dimension with a finite difference set. We prove that there exists a game in this class such that any algorithm solving the game runs in exponential time. Also we prove an existence of a game in this class such that solving the game is PSPACE-hard. The results are based on the construction introduced by Larsson and W\"astlund. It relates subtraction games and cellular automata.
更新日期:2020-01-14

 

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