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arXiv · 1102.4924

New Worst-Case Upper Bound for #XSAT

Junping Zhou·Minghao Yin
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Abstract

An algorithm running in O(1.1995n) is presented for counting models for exact satisfiability formulae(#XSAT). This is faster than the previously best algorithm which runs in O(1.2190n). In order to improve the efficiency of the algorithm, a new principle, i.e. the common literals principle, is addressed to simplify formulae. This allows us to eliminate more common literals. In addition, we firstly inject the resolution principles into solving #XSAT problem, and therefore this further improves the efficiency of the algorithm.

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Junping Zhou, Minghao Yin. 2011-02-24. New Worst-Case Upper Bound for #XSAT. https://arxiv.org/abs/1102.4924

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