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

July 10, 2020 Β· Declared Dead Β· πŸ› Journal of Artificial Intelligence Research

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Authors Ondrej Kuzelka arXiv ID 2007.05619 Category cs.AI: Artificial Intelligence Cross-listed cs.LO Citations 25 Venue Journal of Artificial Intelligence Research Last Checked 4 months ago
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.
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