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math.CO2023
Enforce and selective operators of combinatorial games
Tomoaki Abuku, Shun-ichi Kimura, Hironori Kiya +4
We consider an {\em enforce operator} on impartial rulesets similar to the Muller Twist and the comply/constrain operator of Smith and St\u anic\u a, 2002. Applied to the rulesets…
math.CO2023
Subtraction games in more than one dimension
Urban Larsson, Indrajit Saha, Makoto Yokoo
This paper concerns two-player alternating play combinatorial games (Conway 1976) in the normal-play convention, i.e. last move wins. Specifically, we study impartial vector subtra…