Computing a perfect strategy for n×n chess requires time exponential in n
Session 9: K. Mehlhorn, Chairman
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Abstract
It is proved that a natural generalization of chess to an n×n board is complete in exponential time. This implies that there exist chess-positions on an n×n chess-board for which the problem of determining who can win from that position requires an amount of time which is at least exponential in n.
Keywords
Decision Problem Polynomial Time Algorithm Exponential Time Board Game Board Position
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References
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© Springer-Verlag Berlin Heidelberg 1981