Fast sampling and counting K-SAT solutions in the local lemma regime

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Abstract

We give new algorithms based on Markov chains to sample and approximately count satisfying assignments to k-uniform CNF formulas where each variable appears at most d times. For any k and d satisfying kd

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Feng, W., Guo, H., Yin, Y., & Zhang, C. (2020). Fast sampling and counting K-SAT solutions in the local lemma regime. In Proceedings of the Annual ACM Symposium on Theory of Computing (pp. 854–867). Association for Computing Machinery. https://doi.org/10.1145/3357713.3384255

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