Weighted First-Order Model Counting in the Two-Variable Fragment With Counting Quantifiers

07/10/2020

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by   Ondrej Kuzelka, et al.

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It is known due to the work of Van den Broeck et al [KR, 2014] that weighted first-order model counting (WFOMC) in the two-variable fragment of first-order logic can be solved in time polynomial in the number of domain elements. In this paper we extend this result to the two-variable fragment with counting quantifiers.