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In this paper we show that inference in 2-variable Markov logic networks(MLNs) with cardinality and function constraints is domain-liftable. To obtainthis result we use existing domain-lifted algorithms for weighted first-ordermodel counting (Van den Broeck et al, KR 2014) together with discrete Fouriertransform of certain distributions associated to MLNs.

Lifted Inference in 2-Variable Markov Logic Networks with Function and Cardinality Constraints Using Discrete Fourier Transform