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ECCC
2010
103views more  ECCC 2010»
13 years 1 months ago
A note on exponential circuit lower bounds from derandomizing Arthur-Merlin games
We present an alternate proof of the recent result by Gutfreund and Kawachi that derandomizing Arthur-Merlin games into PNP implies linear-exponential circuit lower bounds for ENP...
Scott Aaronson, Baris Aydinlioglu, Harry Buhrman, ...
FOCS
1999
IEEE
13 years 10 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
ICALP
2010
Springer
13 years 11 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
IPPS
1999
IEEE
13 years 10 months ago
Lower Bounds on the Loading of Degree-2 Multiple Bus Networks for Binary-Tree Algorithms
A binary-tree algorithm, Bin(n), proceeds level-bylevel from the leaves of a 2n -leaf balanced binary tree to its root. This paper deals with running binary-tree algorithms on mul...
Hettihe P. Dharmasena, Ramachandran Vaidyanathan
APPROX
2010
Springer
168views Algorithms» more  APPROX 2010»
13 years 7 months ago
Lower Bounds for Local Monotonicity Reconstruction from Transitive-Closure Spanners
Abstract. Given a directed graph G = (V, E) and an integer k 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, EH ) that has (1) the same transitive...
Arnab Bhattacharyya, Elena Grigorescu, Madhav Jha,...