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ECCC
2010
103views more  ECCC 2010»
12 years 11 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 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
ICALP
2010
Springer
13 years 9 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 9 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 6 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,...