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» A spectral technique for random satisfiable 3CNF formulas
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RSA
2008
80views more  RSA 2008»
13 years 4 months ago
A spectral technique for random satisfiable 3CNF formulas
Let I be a random 3CNF formula generated by choosing a truth assignment for variables x1, . . . , xn uniformly at random and including every clause with i literals set true by w...
Abraham Flaxman
FOCS
2006
IEEE
13 years 8 months ago
Witnesses for non-satisfiability of dense random 3CNF formulas
We consider random 3CNF formulas with n variables and m clauses. It is well known that when m > cn (for a sufficiently large constant c), most formulas are not satisfiable. How...
Uriel Feige, Jeong Han Kim, Eran Ofek
RSA
2006
68views more  RSA 2006»
13 years 4 months ago
The probabilistic analysis of a greedy satisfiability algorithm
: On input a random 3-CNF formula of clauses-to-variables ratio r3 applies repeatedly the following simple heuristic: Set to True a literal that appears in the maximum number of cl...
Alexis C. Kaporis, Lefteris M. Kirousis, Efthimios...
SAT
2007
Springer
99views Hardware» more  SAT 2007»
13 years 11 months ago
Horn Upper Bounds and Renaming
Abstract. We consider the problem of computing tractable approximations to CNF formulas, extending the approach of Selman and Kautz to compute the Horn-LUB to involve renaming of v...
Marina Langlois, Robert H. Sloan, György Tur&...
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 6 months ago
Typical random 3-SAT formulae and the satisfiability threshold
: k-SAT is one of the best known among a wide class of random constraint satisfaction problems believed to exhibit a threshold phenomenon where the control parameter is the ratio, ...
Olivier Dubois, Yacine Boufkhad, Jacques Mandler