A Continuous-Discontinuous Second-Order Transition in the Satisfiability of Random Horn-SAT Formulas

Details A Continuous-Discontinuous Second-Order Transition in the Satisfiability of Random Horn-SAT Formulas A Continuous-Discontinuous Second-Order Transition in the Satisfiability of Random Horn-SAT Formulas

2005-05-02

arxiv.org/abs/math/0505032v1

Mathematics

Probability

Scientific paper

We compute the probability of satisfiability of a class of random Horn-SAT 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 second-order 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.

Affiliated with

Also associated with

No associations

Rating

A Continuous-Discontinuous Second-Order Transition in the Satisfiability of Random Horn-SAT Formulas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Continuous-Discontinuous Second-Order Transition in the Satisfiability of Random Horn-SAT Formulas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Continuous-Discontinuous Second-Order Transition in the Satisfiability of Random Horn-SAT Formulas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-460402