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Model Counting for Formulas of Bounded Clique-Width

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.

preprint2014arXivOpen access
Friedrich SlivovskyStefan Szeider
Data Structures and AlgorithmsComputational Complexity
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Friedrich SlivovskyStefan Szeider

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