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STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 11 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
COCO
2004
Springer
119views Algorithms» more  COCO 2004»
13 years 11 months ago
Tight Lower Bounds for Certain Parameterized NP-Hard Problems
Based on the framework of parameterized complexity theory, we derive tight lower bounds on the computational complexity for a number of well-known NP-hard problems. We start by pr...
Jianer Chen, Benny Chor, Mike Fellows, Xiuzhen Hua...
JSAT
2006
119views more  JSAT 2006»
13 years 7 months ago
A Faster Clause-Shortening Algorithm for SAT with No Restriction on Clause Length
We give a randomized algorithm for testing satisfiability of Boolean formulas in conjunctive normal form with no restriction on clause length. This algorithm uses the clauseshorte...
Evgeny Dantsin, Alexander Wolpert
STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 8 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
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&...