Signed conjunctive normal form (signed CNF) is a classical conjunctive clause form using a generalized notion of literal, called signed atom. A signed atom is an expression of the...
We study three new techniques which will speed up the branch-and-bound algorithm for the MAX-2-SAT problem: The first technique is a new lower bound function for the algorithm an...
Handling redundancy in propositional reasoning and search is an active path of theoretical research. For instance, the complexity of some redundancy-related problems for CNF formu...
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...
We define a resolution-style rule for solving the Max-SAT problem of Signed CNF formulas (Signed Max-SAT) and prove that our rule provides a complete calculus for that problem. F...