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Dimitris Achlioptas, Arthur Chtcherba, Gabriel Istrate and Cristopher Moore. The phase transition in 1-in-k SAT and NAE 3SAT. In Proceedings of the Twelfth ACM-SIAM Symposium on Discrete Algorithms (SODA' 01), Washington, DC, USA. 2001.

Abstract: We determine the precise value of the satisfiability threshold of random 1-in-k SAT. The analysis essentially shows that this (NP-complete) problem
is in the same universality class as the polynomial time computable problem 2SAT, and has a second-order phase transition.

We also obtain rigorous lower and upper bounds, as well an experimental estimate of the location of the phase transition in random NAE 3SAT.

Keywords: satisfiability, sharp thresholds, probabilistic analysis

URL: http://portal.acm.org/citation.cfm?id=365411.365760&coll=portal&dl=ACM&type=series&idx=365411&part=Proceedings&WantType=Proceedings&title=Symposium%20on%20Discrete%20Algorithms&CFID=13842055&CFTOKEN=60725688

Posted by Gabriel Istrate

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