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ECCC
2008
168views more  ECCC 2008»
13 years 7 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
DLT
2009
13 years 5 months ago
Tight Bounds on the Descriptional Complexity of Regular Expressions
Abstract. We improve on some recent results on lower bounds for conversion problems for regular expressions. In particular we consider the conversion of planar deterministic finite...
Hermann Gruber, Markus Holzer
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
TIT
2010
87views Education» more  TIT 2010»
13 years 2 months ago
Silence-based communication
We consider a power-efficient communication model for wireless sensor networks where silence is used to convey information. We study the average-case and worstcase complexities of ...
Anand K. Dhulipala, Christina Fragouli, Alon Orlit...
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 8 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang