论文标题

烦恼的杂项逻辑

Vexing Vexillological Logic

论文作者

Burke, Kyle, Tennenhouse, Craig

论文摘要

我们根据洪水填充定义了一种新的公正组合游戏,即国旗着色。然后,我们将其推广到一个图游戏,并在两种颜色上找到许多位置的值。我们证明,通过避免True的减少,确定基于现实世界标志的游戏的结果类别,并讨论剩余的开放问题,可以通过避免True的减少,确定游戏的结果类别,从而对两种或更多颜色进行PSPACE组成。

We define a new impartial combinatorial game, Flag Coloring, based on flood filling. We then generalize to a graph game, and find values for many positions on two colors. We demonstrate that the generalized game is PSPACE-complete for two colors or more via a reduction from Avoid True, determine the outcome classes of games based on real-world flags, and discuss remaining open problems.

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