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» A spectral technique for random satisfiable 3CNF formulas
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RSA
2008
80views more  RSA 2008»
13 years 7 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 11 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 7 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»
14 years 1 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 8 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