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arXiv · 2108.13997

On the number of inequivalent monotone Boolean functions of 8 variables

Bartłomiej Pawelski
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Abstract

In this paper, the author presents algorithms that allow determining the number of fixed points in permutations of a set of monotone Boolean functions. Then, using Burnside's lemma, the author determines the number of inequivalent monotone Boolean functions of 8 variables. The number obtained is 1,392,195,548,889,993,358.

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Bartłomiej Pawelski. 2021-08-31. On the number of inequivalent monotone Boolean functions of 8 variables. https://arxiv.org/abs/2108.13997

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