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» Proving Lower Bounds Via Pseudo-random Generators
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FOCS
1999
IEEE
13 years 9 months ago
Near-Optimal Conversion of Hardness into Pseudo-Randomness
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson
CSR
2011
Springer
12 years 8 months ago
Improving the Space-Bounded Version of Muchnik's Conditional Complexity Theorem via "Naive" Derandomization
Abstract. Many theorems about Kolmogorov complexity rely on existence of combinatorial objects with specific properties. Usually the probabilistic method gives such objects with b...
Daniil Musatov
STACS
2009
Springer
14 years 2 days ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
CORR
2011
Springer
169views Education» more  CORR 2011»
12 years 8 months ago
Pseudo-random graphs and bit probe schemes with one-sided error
We study probabilistic bit-probe schemes for the membership problem. Given a set A of at most n elements from the universe of size m we organize such a structure that queries of t...
Andrei E. Romashchenko