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» Complexity Considerations, cSAT Problem Lower Bound
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FOCS
2002
IEEE
14 years 1 months ago
Testing Juntas
We consider the problem of testing functions for the property of being a k-junta (i.e., of depending on at most k variables). Fischer, Kindler, Ron, Safra, and Samorodnitsky (J. Co...
Eldar Fischer, Guy Kindler, Dana Ron, Shmuel Safra...
IPL
2006
104views more  IPL 2006»
13 years 8 months ago
The communication complexity of the Hamming distance problem
We investigate the randomized and quantum communication complexity of the HAMMING DISTANCE problem, which is to determine if the Hamming distance between two n-bit strings is no l...
Wei Huang, Yaoyun Shi, Shengyu Zhang, Yufan Zhu
ECCC
2008
168views more  ECCC 2008»
13 years 8 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
STACS
2009
Springer
14 years 3 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
ESA
1999
Springer
110views Algorithms» more  ESA 1999»
14 years 1 months ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle