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Arc Kayles is PSPACE-complete

Édouard Bonnet

Source record

Source: arXiv

Published: Sep 20, 2026

arXiv: 2609.23777

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Source abstract

We show that Arc Kayles is PSPACE-complete. This solves a question raised by Schaefer in 1978.

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Arc Kayles is PSPACE-complete — Mathematical Frontier Network