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» Redundancy in Random SAT Formulas
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SAT
2005
Springer
162views Hardware» more  SAT 2005»
15 years 3 months ago
Heuristics for Fast Exact Model Counting
An important extension of satisfiability testing is model-counting, a task that corresponds to problems such as probabilistic reasoning and computing the permanent of a Boolean ma...
Tian Sang, Paul Beame, Henry A. Kautz
ALGORITHMICA
2007
93views more  ALGORITHMICA 2007»
14 years 9 months ago
Random 2-SAT with Prescribed Literal Degrees
Two classic “phase transitions” in discrete mathematics are the emergence of a giant component in a random graph as the density of edges increases, and the transition of a rand...
Colin Cooper, Alan M. Frieze, Gregory B. Sorkin
ICALP
2009
Springer
15 years 4 months ago
A Better Algorithm for Random k-SAT
Let Φ be a uniformly distributed random k-SAT formula with n variables and m clauses. We present a polynomial time algorithm that finds a satisfying assignment of Φ with high p...
Amin Coja-Oghlan
SAT
2005
Springer
124views Hardware» more  SAT 2005»
15 years 3 months ago
An Improved Upper Bound for SAT
We give a randomized algorithm for testing satisfiability of Boolean formulas in conjunctive normal form with no restriction on clause length. Its running time is at most 2n(1−1...
Evgeny Dantsin, Alexander Wolpert
JSAT
2008
63views more  JSAT 2008»
14 years 9 months ago
Whose side are you on? Finding solutions in a biased search-tree
We introduce a new jump strategy for look-ahead based satisfiability (Sat) solvers that aims to boost their performance on satisfiable formulae, while maintaining their behavior o...
Marijn Heule, Hans van Maaren