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Weighted First-Order Model Counting in the Two-Variable Fragment With Counting Quantifiers (2007.05619v3)
Published 10 Jul 2020 in cs.AI and cs.LO
Abstract: 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.