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» Mining Circuit Lower Bound Proofs for Meta-Algorithms
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CSR
2008
Springer
13 years 6 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 9 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
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...
SIAMCOMP
2000
76views more  SIAMCOMP 2000»
13 years 4 months ago
On Interpolation and Automatization for Frege Systems
The interpolation method has been one of the main tools for proving lower bounds for propositional proof systems. Loosely speaking, if one can prove that a particular proof system ...
Maria Luisa Bonet, Toniann Pitassi, Ran Raz
FOCS
1994
IEEE
13 years 9 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle