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Typical random 3-SAT formulae and the satisfiability threshold

Olivier Dubois·Yacine Boufkhad·Jacques Mandler
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Abstract

We present a new structural (or syntatic) approach for estimating the satisfiability threshold of random 3-SAT formulae. We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506. The method combines well with other techniques, and also applies to other problems, such as the 3-colourability of random graphs.

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Olivier Dubois, Yacine Boufkhad, Jacques Mandler. 2002-11-26. Typical random 3-SAT formulae and the satisfiability threshold. https://arxiv.org/abs/cs/0211036

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