arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.01649cs.CCcs.AIcs.DMcs.DS
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长、短和随机

The Long, the Short and the Random

Giorgio Camerani

摘要:

我们提供了坚实的证据,理论和经验,对随机稀疏$\#Ω(\log n)$ -SAT实例,它计算的精确计数满足分配在次指数时间的确定性算法的存在。该算法使用了一个很好的组合性质,每个CNF公式,它涉及到它的单调子公式的空间的不满意的分配的数量。

英文摘要:

We furnish solid evidence, both theoretical and empirical, towards the existence of a deterministic algorithm for random sparse $\#Ω(\log n)$-SAT instances, which computes the exact counting of satisfying assignments in sub-exponential time. The algorithm uses a nice combinatorial property that every CNF formula has, which relates its number of unsatisfying assignments to the space of its monotone sub-formulae.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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