Cristopher Moore, Gabriel Istrate, Demetrios Demopoulos and Moshe Y. Vardi. A ContinuousDiscontinuous SecondOrder Transition in the Satisfiability of Random HornSAT Formulas. Random Structures and Algorithms, 31(2), pp. 173185, 2007.
Abstract:
We compute the probability of satisfiability of a class of random HornSAT formulae, motivated by a connection with the nonemptiness problem of finite tree automata. In particular, when the maximum clause length is 3, this model displays a curve in its parameter space along which the probability of satisfiability is discontinuous, ending in a secondorder phase transition where it becomes continuous. This is the first case in which a phase transition of this type has been rigorously established for a random constraint satisfaction problem.
A preliminary version can be read from
http://xxx.lanl.gov/abs/math.PR/0505032
and has appeared in the Proceedings of the Eight International Workshop on Randomization and Computation (RANDOM'05)
Keywords:
Horn satisfiability
URL:
http://dx.doi.org/10.1002/rsa.20176
Posted by
Gabriel Istrate
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