A Probabilistic Algorithm for k-SAT and Constraint Satisfaction Problems
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
A constructive proof of the Lovász local lemma
Proceedings of the forty-first annual ACM symposium on Theory of computing
Principles of stochastic local search
UC'07 Proceedings of the 6th international conference on Unconventional Computation
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In this survey we compare the similarities, differences and the complexities of two very different approaches to solve a general constraint satisfaction probblems (CSP). One is the algorithm used in Moser’s ingenious proof of a constructive version of Lovász Local Lemma [3], the other is the k-SAT random walk algorithm from [5,6], generalized to CSP’s. There are several similarities, both algorithms use a version of stochastic local search (SLS), but the kind of local search neighborhood is defined differently, also the preconditions for the algorithms to work (efficiently) are quite different.