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COCO
2010
Springer
149views Algorithms» more  COCO 2010»
13 years 8 months ago
Trade-Off Lower Bounds for Stack Machines
—A space bounded Stack Machine is a regular Turing Machine with a read-only input tape, several space bounded read-write work tapes, and an unbounded stack. Stack Machines with a...
Matei David, Periklis A. Papakonstantinou
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 3 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
ECCC
2008
168views more  ECCC 2008»
13 years 6 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
STOC
2009
ACM
167views Algorithms» more  STOC 2009»
14 years 7 months ago
On the complexity of communication complexity
We consider the following question: given a two-argument boolean function f, represented as an N ? N binary matrix, how hard is to determine the (deterministic) communication comp...
Eyal Kushilevitz, Enav Weinreb
ECCC
2000
158views more  ECCC 2000»
13 years 6 months ago
On the Computational Power of Winner-Take-All
This article initiates a rigorous theoretical analysis of the computational power of circuits that employ modules for computing winner-take-all. Computational models that involve ...
Wolfgang Maass