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ECCC
2010
103views more  ECCC 2010»
13 years 6 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 11 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
COCO
2009
Springer
78views Algorithms» more  COCO 2009»
14 years 6 months ago
Fixed-Polynomial Size Circuit Bounds
—In 1982, Kannan showed that ΣP 2 does not have nk -sized circuits for any k. Do smaller classes also admit such circuit lower bounds? Despite several improvements of Kannan’s...
Lance Fortnow, Rahul Santhanam, Ryan Williams