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SAT
2007
Springer
118views Hardware» more  SAT 2007»
13 years 11 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
ECCC
2010
89views more  ECCC 2010»
13 years 4 months ago
Lower bounds for designs in symmetric spaces
A design is a finite set of points in a space on which every "simple" functions averages to its global mean. Illustrative examples of simple functions are low-degree pol...
Noa Eidelstein, Alex Samorodnitsky
COCO
1993
Springer
133views Algorithms» more  COCO 1993»
13 years 9 months ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson
CORR
2008
Springer
97views Education» more  CORR 2008»
13 years 4 months ago
Lower bounds for adaptive linearity tests
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
Shachar Lovett