Conjunctive Normal Form (CNF) Boolean formulas generated from resolution or solution enumeration often have much redundancy. It is desirable to have an efficient algorithm to simpl...
With random inputs, certain decision problems undergo a “phase transition”. We prove similar behavior in an optimization context. Given a conjunctive normal form (CNF) formula...
Don Coppersmith, David Gamarnik, Mohammad Taghi Ha...
-- Boolean SAT problems are widespread in current demanding applications, most notably model checking for both hardware and software. It has long been known that the clause-to-vari...
: Let (C1, C1), (C2, C2), . . . , (Cm, Cm) be a sequence of ordered pairs of 2CNF clauses chosen uniformly at random (with repetition) from the set of all 4 n 2 clauses on n variab...
It is well known that there is a sharp density threshold for a random r-SAT formula to be satisfiable, and a similar, smaller, threshold for it to be satisfied by the pure literal ...