Games played by Boole and Galois

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Games played by Boole and Galois

We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted from both piles simultaneously is an extended Boolean function f of the size of the piles, or a function over GF(2). Wythoff’s game is a special case. For each game, the 2nd player winning positions are a pair of complementary sequences. Sample games are presented, strategy complexity questions are ...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2008

ISSN: 0166-218X

DOI: 10.1016/j.dam.2006.06.017