Abstract
This pager gives a new randomized algorithm which solves 3-SAT in time O(1.32113n). The previous best bound is O(1.32216n) due to Rolf (J. SAT, 2006). The new algorithm uses the same approach as Iwama and Tamaki (SODA 2004), but exploits the non-uniform initial assignment due to Hofmeister et al. (STACS 2002) against the Schöning’s local search (FOCS 1999).
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Iwama, K., Seto, K., Takai, T., Tamaki, S. (2010). Improved Randomized Algorithms for 3-SAT. In: Cheong, O., Chwa, KY., Park, K. (eds) Algorithms and Computation. ISAAC 2010. Lecture Notes in Computer Science, vol 6506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17517-6_9
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