English

A Note on Computational Complexity of Kill-all Go

Computational Complexity 2019-11-27 v1

Abstract

Kill-all Go is a variant of Go in which Black tries to capture all white stones, while White tries to survive. We consider computational complexity of Kill-all Go with two rulesets, Chinese rules and Japanese rules. We prove that: (i) Kill-all Go with Chinese rules is PSPACE-hard, and (ii) Kill-all Go with Japanese rules is EXPTIME-complete.

Cite

@article{arxiv.1911.11405,
  title  = {A Note on Computational Complexity of Kill-all Go},
  author = {Zhujun Zhang},
  journal= {arXiv preprint arXiv:1911.11405},
  year   = {2019}
}

Comments

15 pages, 11 figures

R2 v1 2026-06-23T12:27:23.318Z