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Scenic trails ascending from sea-level Nim to alpine chess

Aim: Present a systematic development of part of the theory of combinatorial games from the ground up. Approach: Computational complexity. Combinatorial games are completely determined; the questions of interest are efficiencies of strategies. Methodology: Divide and conquer. Ascend from Nim to chess in small strides at a gradient that's not too steep. Presentation: Informal; examples of games sampled from various strategic viewing points along scenic mountain trails, which illustrate the theory.

preprint1995arXivOpen access
Aviezri S. Fraenkel
math.CO
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Aviezri S. Fraenkel

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