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» On Superlinear Lower Bounds in Complexity Theory
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STOC
2012
ACM
196views Algorithms» more  STOC 2012»
11 years 7 months ago
Time-space tradeoffs in resolution: superpolynomial lower bounds for superlinear space
We give the first time-space tradeoff lower bounds for Resolution proofs that apply to superlinear space. In particular, we show that there are formulas of size N that have Reso...
Paul Beame, Christopher Beck, Russell Impagliazzo
ECCC
2008
168views more  ECCC 2008»
13 years 5 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
COCO
1993
Springer
133views Algorithms» more  COCO 1993»
13 years 9 months ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson