Losing at Checkers is Hard

Jeffrey Bosboom; Spencer Congero; Erik D. Demaine; Martin L. Demaine; Jayson Lynch

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arXiv · 1806.05657

Losing at Checkers is Hard

Jeffrey Bosboom·Spencer Congero·Erik D. Demaine·Martin L. Demaine·Jayson Lynch

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Abstract

We prove computational intractability of variants of checkers: (1) deciding whether there is a move that forces the other player to win in one move is NP-complete; (2) checkers where players must always be able to jump on their turn is PSPACE-complete; and (3) cooperative versions of (1) and (2) are NP-complete. We also give cooperative checkers puzzles whose solutions are the letters of the alphabet.

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Jeffrey Bosboom, Spencer Congero, Erik D. Demaine, Martin L. Demaine, Jayson Lynch. 2018-06-14. Losing at Checkers is Hard. https://arxiv.org/abs/1806.05657

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