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» Verification of Proofs of Unsatisfiability for CNF Formulas
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STOC
2006
ACM
121views Algorithms» more  STOC 2006»
16 years 4 months ago
Narrow proofs may be spacious: separating space and width in resolution
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...
Jakob Nordström
SAT
2009
Springer
119views Hardware» more  SAT 2009»
15 years 10 months ago
Boundary Points and Resolution
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...
Eugene Goldberg
SIAMCOMP
2002
112views more  SIAMCOMP 2002»
15 years 3 months ago
The Efficiency of Resolution and Davis--Putnam Procedures
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...
AAAI
2006
15 years 5 months ago
Model Counting: A New Strategy for Obtaining Good Bounds
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...
Carla P. Gomes, Ashish Sabharwal, Bart Selman
CADE
2007
Springer
16 years 4 months ago
Towards Efficient Satisfiability Checking for Boolean Algebra with Presburger Arithmetic
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...
Viktor Kuncak, Martin C. Rinard