The width of a resolution proof is the maximal number of literals in any clause of the proof. The space of a proof is the maximal number of clauses kept in memory simultaneously if...
We use the notion of boundary points to study resolution proofs. Given a CNF formula F, a lit(x)-boundary point is a complete assignment falsifying only clauses of F having the sam...
We consider several problems related to the use of resolution-based methods for determining whether a given boolean formula in conjunctive normal form is satisfiable. First, build...
Paul Beame, Richard M. Karp, Toniann Pitassi, Mich...
Model counting is the classical problem of computing the number of solutions of a given propositional formula. It vastly generalizes the NP-complete problem of propositional satis...
Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that combines 1) Boolean algebra of sets of uninterpreted elements (BA) and 2) Presburger arithmetic (PA). BA...