Computer experiments to find the minimum lower unity of a monotone Boolean function

V.G. Ustyuzhaninov
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Abstract

The problem of finding a minimum-norm point from the truth set of a monotone Boolean function is considered. A multiple descent algorithm is proposed for solving the problem. Some results of its application to the problem of finding the minimum covering of a binary table, which is reducible to the original problem, are presented. A formula is derived linking the average number of irredundant coverings of a binary table with its size and spectrum.

求单调布尔函数最小下单位的计算机实验
研究了从单调布尔函数的真值集寻找最小范数点的问题。针对这一问题,提出了一种多重下降算法。给出了该方法在求可约为原问题的二值表的最小覆盖问题中的一些应用结果。导出了二进位表的平均无冗余覆盖数与表的大小和谱之间的关系式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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