Model Counting for Formulas of Bounded Clique-Width

Friedrich Slivovsky; Stefan Szeider

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arXiv · 1409.8464

Model Counting for Formulas of Bounded Clique-Width

Friedrich Slivovsky·Stefan Szeider

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Abstract

We show that #SAT is polynomial-time tractable for classes of CNF formulas whose incidence graphs have bounded symmetric clique-width (or bounded clique-width, or bounded rank-width). This result strictly generalizes polynomial-time tractability results for classes of formulas with signed incidence graphs of bounded clique-width and classes of formulas with incidence graphs of bounded modular treewidth, which were the most general results of this kind known so far.

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Friedrich Slivovsky, Stefan Szeider. 2014-09-30. Model Counting for Formulas of Bounded Clique-Width. https://arxiv.org/abs/1409.8464

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