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arXiv · 1102.3145

The decimation process in random k-SAT

Amin Coja-Oghlan·Angelica Y. Pachon-Pinzon
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Abstract

Let F be a uniformly distributed random k-SAT formula with n variables and m clauses. Non-rigorous statistical mechanics ideas have inspired a message passing algorithm called Belief Propagation Guided Decimation for finding satisfying assignments of F. This algorithm can be viewed as an attempt at implementing a certain thought experiment that we call the Decimation Process. In this paper we identify a variety of phase transitions in the decimation process and link these phase transitions to the performance of the algorithm.

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Amin Coja-Oghlan, Angelica Y. Pachon-Pinzon. 2011-02-15. The decimation process in random k-SAT. https://doi.org/10.1137/110842867

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