Abstract
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.
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References
Alon, N., Spencer, J.H.: The Probabilistic Method, 2nd edn. Wiley, Chichester (2000)
Fortnow’s, L.: complexity blog, http://blog.computationalcomplexity.org/2009/06/kolmogorov-complexity-proof-of-lov.html
Moser, R.A.: A constructive proof of Lovász local lemma. In: Proceedings 41st Ann. ACM Symposium on Theory of Computing, pp. 343–350 (2009)
Moser, R.A., Tárdos, G.: A constructive proof of the general Lovász Local Lemma, http://arxiv.org/abs/0903.0544
Schöning, U.: A probabilistic algorithm for k-SAT and constraint satisfaction problems. In: Proceedings 40th Annual Symposium on Foundations of Computer Science, pp. 410–414 (1999)
Schöning, U.: A probabilistic algorithm for k-SAT based on limited local search and restart. Algorithmica 32(4), 615–623 (2002)
Schöning, U.: Principles of stochastic local search. In: Akl, S.G., Calude, C.S., Dinneen, M.J., Rozenberg, G., Wareham, H.T. (eds.) UC 2007. LNCS, vol. 4618, pp. 178–187. Springer, Heidelberg (2007)
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Schöning, U. (2010). Comparing Two Stochastic Local Search Algorithms for Constraint Satisfaction Problems. In: Ablayev, F., Mayr, E.W. (eds) Computer Science – Theory and Applications. CSR 2010. Lecture Notes in Computer Science, vol 6072. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13182-0_34
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DOI: https://doi.org/10.1007/978-3-642-13182-0_34
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