Polarised random -SAT

On Random 3 - Sat

We prove that a random Boolean 3-SAT formula on n variables with 4:596n clauses is almost certainly unsatissable, in the sense that the probability of it being satissable tends to 0 as n ! 1.

Random 3 - SAT : The Plot

Pseudo-Industrial Random SAT Generators

Recent advances in SAT are focused on efficiently solving real-world or industrial problems. However, the reduced number of industrial SAT instances and the high cost of solving them condition the development and debugging processes of new techniques. This problem can be solved by defining new models of random SAT instance that capture realistically the main features of the real-world SAT insta...

Redundancy in Random SAT Formulas

The random k-SAT model is extensively used to compare satisfiability algorithms or to find the best settings for the parameters of some algorithm. Conclusions are derived from the performances measured on a large number of random instances. The size of these instances is, in general, small to get these experiments done in reasonable time. This assumes that the small size formulas have the same ...

Algorithms for Random 3-SAT

This classic problem in complexity theory is concerned with efficiently finding a satisfying assignment to a propositional formula. The input is a formula with n Boolean variables which is expressed as an AND of ORs with 3 variables in each OR clause (a 3-CNF formula). The goal is to (1) find an assignment of variables to TRUE and FALSE so that the formula has value TRUE, or (2) prove that no s...