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Electronic Colloquium on Computational Complexity

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TR05-062 | 17th June 2005
A. Pavan, N. V. Vinodchandran

2-Local Random Reductions to 3-Valued Functions

Yao (in a lecture at DIMACS Workshop on structural complexity and
cryptography) showed that if a language L is 2-locally-random
reducible to a Boolean functio, then L is in PSPACE/poly.
Fortnow and Szegedy quantitatively improved Yao's result to show that
such languages are in fact in NP/poly (Information Processing Letters, ... more >>>


TR05-061 | 15th June 2005
Ronen Gradwohl, Guy Kindler, Omer Reingold, Amnon Ta-Shma

On the Error Parameter of Dispersers

Optimal dispersers have better dependence on the error than
optimal extractors. In this paper we give explicit disperser
constructions that beat the best possible extractors in some
parameters. Our constructions are not strong, but we show that
having such explicit strong constructions implies a solution
to the Ramsey graph construction ... more >>>


TR05-060 | 30th May 2005
Philippe Moser

Generic Density and Small Span Theorem

We refine the genericity concept of Ambos-Spies et al, by assigning a real number in $[0,1]$ to every generic set, called its generic density.
We construct sets of generic density any E-computable real in $[0,1]$.
We also introduce strong generic density, and show that it is related to packing ... more >>>



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