论文标题

长,短和随机

The Long, the Short and the Random

论文作者

Camerani, Giorgio

论文摘要

我们提供了理论和经验的可靠证据,用于存在用于随机稀疏$ \#ω(\ log n)$ - SAT实例的确定性算法,该实例计算了子指数时间中满足分配的确切计数。该算法使用每个CNF公式具有的不错的组合属性,该属性将其不满意分配的数量与单调子形式的空间联系起来。

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.

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