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» A note on circuit lower bounds from derandomization
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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, ...
ECCC
2010
90views more  ECCC 2010»
13 years 5 months ago
A note on circuit lower bounds from derandomization
We present an alternate proof of the result by Kabanets and Impagliazzo that derandomizing polynomial identity testing implies circuit lower bounds. Our proof is simpler, scales b...
Scott Aaronson, Dieter van Melkebeek
APPROX
2010
Springer
120views Algorithms» more  APPROX 2010»
13 years 6 months ago
Uniform Derandomization from Pathetic Lower Bounds
A recurring theme in the literature on derandomization is that probabilistic algorithms can be simulated quickly by deterministic algorithms, if one can obtain impressive (i.e., s...
Eric Allender, Vikraman Arvind, Fengming Wang
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 5 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
FOCS
2008
IEEE
13 years 11 months ago
Arithmetic Circuits: A Chasm at Depth Four
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
Manindra Agrawal, V. Vinay