Acta Informatica

, Volume 13, Issue 1, pp 59–66

Gobang ist PSPACE-vollständig

Authors

  • Stefan Reisch
    • Fakultät für MathematikUniversität Bielefeld
Article

DOI: 10.1007/BF00288536

Cite this article as:
Reisch, S. Acta Informatica (1980) 13: 59. doi:10.1007/BF00288536

Gobang is PSPACE-complete

Summary

For many games, the decision problem of whether a player in a given situation has a winning strategy has been shown to be PSPACE-complete. Following the PSPACE-completeness results of Even and Tarjan [1] for generalized Hex on graphs and of Schaefer [6] for a variety of combinatorial games, the decision problems were shown to be PSPACE-hard for generalizations of Go and Checkers. In this paper a corresponding theorem is proved for the board-game Gobang, a variant of Go. Since the decision problem for Gobang states-of-play itself lies in PSPACE, it can be shown that Gobang is in fact PSPACE-complete.

Copyright information

© Springer-Verlag 1980