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arXiv math/0501315math.CO
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Taming the wild in impartial combinatorial games

Thane E. Plambeck

英文摘要:

We introduce a misere quotient semigroup construction in impartial combinatorial game theory, and argue that it is the long-sought natural generalization of the normal-play Sprague-Grundy theory to misere play. Along the way, we illustrate how to use the theory to describe complete analyses of two wild taking and breaking games.

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