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» Redundancy in Random SAT Formulas
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SAT
2005
Springer
111views Hardware» more  SAT 2005»
14 years 25 days ago
On Subsumption Removal and On-the-Fly CNF Simplification
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...
Lintao Zhang
SODA
2003
ACM
125views Algorithms» more  SODA 2003»
13 years 8 months ago
Random MAX SAT, random MAX CUT, and their phase transitions
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...
FCS
2006
13 years 8 months ago
Discovering the Impact of Group Structure on 3-SAT
-- 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...
James McQuillan, Craig Damon
APPROX
2010
Springer
146views Algorithms» more  APPROX 2010»
13 years 9 months ago
Delaying Satisfiability for Random 2SAT
: 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...
Alistair Sinclair, Dan Vilenchik
CORR
2010
Springer
102views Education» more  CORR 2010»
13 years 7 months ago
Structure of random r-SAT below the pure literal threshold
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 ...
Alexander D. Scott, Gregory B. Sorkin