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FOCS
1991
IEEE
13 years 8 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
CIE
2006
Springer
13 years 9 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
CC
2010
Springer
282views System Software» more  CC 2010»
13 years 3 months ago
Lower Bounds on the Randomized Communication Complexity of Read-Once Functions
Abstract. We prove lower bounds on the randomized two-party communication complexity of functions that arise from read-once boolean formulae. A read-once boolean formula is a formu...
Nikos Leonardos, Michael Saks
COCOON
2007
Springer
13 years 11 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan