The Long, the Short and the Random

Giorgio Camerani

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arXiv · 2011.01649

The Long, the Short and the Random

Giorgio Camerani

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Abstract

We furnish solid evidence, both theoretical and empirical, towards the existence of a deterministic algorithm for random sparse $\#\Omega(\log n)$-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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Giorgio Camerani. 2020-11-03. The Long, the Short and the Random. https://arxiv.org/abs/2011.01649

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