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» Lower bounds for k-DNF resolution on random 3-CNFs
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STOC
2005
ACM
101views Algorithms» more  STOC 2005»
14 years 4 months ago
Lower bounds for k-DNF resolution on random 3-CNFs
We prove exponential lower bounds for the refutation of a random 3-CNF with linear number of clauses by k-DNF Resolution for k log n/ log log n. For this we design a specially ta...
Michael Alekhnovich
FOCS
2002
IEEE
13 years 9 months ago
A Switching Lemma for Small Restrictions and Lower Bounds for k - DNF Resolution
d abstract) Nathan Segerlind∗ Sam Buss† Russell Impagliazzo‡ We prove a new switching lemma that works for restrictions that set only a small fraction of the variables and i...
Nathan Segerlind, Samuel R. Buss, Russell Impaglia...
SAT
2007
Springer
118views Hardware» more  SAT 2007»
13 years 10 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov
CC
2010
Springer
112views System Software» more  CC 2010»
12 years 11 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
IANDC
2002
61views more  IANDC 2002»
13 years 4 months ago
Lower Bounds for the Weak Pigeonhole Principle and Random Formulas beyond Resolution
Albert Atserias, Maria Luisa Bonet, Juan Luis Este...