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• W2079050722 abstract "We show that a self-generated set of combinatorial games, S, may not be hereditarily closed but, strong self-generation and hereditary closure are equivalent in the universe of short games. In [13], the question ''Is there a set which will give a non-distributive but modular lattice?'' appears. A useful necessary condition for the existence of a finite non-distributive modular L(S) is proved. We show the existence of S such that L(S) is modular and not distributive, exhibiting the first known example. More, we prove a Representation Theorem with Games that allows the generation of all finite lattices in game context. Finally, a computational tool for drawing lattices of games is presented." @default.
• W2079050722 created "2016-06-24" @default.
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• W2079050722 date "2014-03-01" @default.
• W2079050722 modified "2023-09-30" @default.
• W2079050722 title "On lattices from combinatorial game theory modularity and a representation theorem: Finite case" @default.
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• W2079050722 doi "https://doi.org/10.1016/j.tcs.2014.01.025" @default.
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