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Register a new userThe random 2-SAT partition function
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Added by
Amin Coja-Oghlan
Publication date
2020
fields
Informatics Engineering
and research's language is
English
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We show that throughout the satisfiable phase the normalised number of satisfying assignments of a random $2$-SAT formula converges in probability to an expression predicted by the cavity method from statistical physics. The proof is based on showing that the Belief Propagation algorithm renders the correct marginal probability that a variable is set to `true under a uniformly random satisfying assignment.
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