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RSA
1998
49views more  RSA 1998»
13 years 5 months ago
Approximating the unsatisfiability threshold of random formulas
Lefteris M. Kirousis, Evangelos Kranakis, Danny Kr...
CORR
2010
Springer
102views Education» more  CORR 2010»
13 years 6 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
AAAI
2008
13 years 8 months ago
Phase Transitions and Complexity of Weighted Satisfiability and Other Intractable Parameterized Problems
The study of random instances of NP complete and coNP complete problems has had much impact on our understanding of the nature of hard problems. In this work, we initiate an effor...
Yong Gao
CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 6 months ago
Counting good truth assignments of random k-SAT formulae
We present a deterministic approximation algorithm to compute logarithm of the number of `good' truth assignments for a random k-satisfiability (k-SAT) formula in polynomial ...
Andrea Montanari, Devavrat Shah
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 3 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi