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» Mining Circuit Lower Bound Proofs for Meta-Algorithms
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FSTTCS
2010
Springer
13 years 3 months ago
On extracting computations from propositional proofs (a survey)
This paper describes a project that aims at showing that propositional proofs of certain tautologies in weak proof system give upper bounds on the computational complexity of func...
Pavel Pudlák
FCT
2005
Springer
13 years 10 months ago
On the Incompressibility of Monotone DNFs
We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Matthias P. Krieger
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
FOCS
2008
IEEE
13 years 11 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
CJTCS
1999
133views more  CJTCS 1999»
13 years 5 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender