# The mate-in-n problem of infinite chess is decidable

@article{Brumleve2012TheMP, title={The mate-in-n problem of infinite chess is decidable}, author={Dan Brumleve and Joel David Hamkins and Philipp Schlicht}, journal={ArXiv}, year={2012}, volume={abs/1201.5597} }

The mate-in-n problem of infinite chess--chess played on an infinite edgeless board--is the problem of determining whether a designated player can force a win from a given finite position in at most n moves. Although a straightforward formulation of this problem leads to assertions of high arithmetic complexity, with 2n alternating quantifiers, the main theorem of this article nevertheless confirms a conjecture of the second author and C. D. A. Evans by establishing that it is computably…

## 8 Citations

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