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» Verification of Proofs of Unsatisfiability for CNF Formulas
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STOC
2006
ACM
121views Algorithms» more  STOC 2006»
14 years 5 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»
14 years 2 days 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»
13 years 5 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
13 years 7 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
14 years 5 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