Hex ist PSPACE-vollständig

@article{Reisch2004HexIP,
  title={Hex ist PSPACE-vollst{\"a}ndig},
  author={Stefan Reisch},
  journal={Acta Informatica},
  year={2004},
  volume={15},
  pages={167-191}
}
  • S. Reisch
  • Published 1 June 1981
  • Mathematics
  • Acta Informatica
SummaryThere are a number of board games such as Checkers [2], Go [5], and Gobang [8], which are known to be PSPACE-hard. This means that the problem to determine the player having a winning strategy in a given situation on an n×n board of one of these games is as hard to solve as everything computable in polynomial space. PSPACE-completeness has been previously proven for some combinatorial games played on graphs or by logical formulas [1, 9].In this paper we will show that the same holds for… 
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References

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TLDR
It can be shown that Gobang is in fact PSPACE-complete, a variant of Go, since the decision problem for Gobang states-of-play itself lies in PSPACE.
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A great deal of effort has been spent in the search for optimal and computationally feasible game strategies, but recently it has become possible to provide compelling evidence that such strategies may not always exist.
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Under certain reasonable assumptions about the "drawing rule" in force, the problem of whether a specified player can force a win against best play by his opponent is shown to be PSPACE-hard.
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An efficient algorithm to determine whether an arbitrary graph G can be embedded in the plane is described, which used depth-first search and has time and space bounds.
Gobang is PSPACE-vollstS.ndig
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