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» On sets of integers whose shifted products are powers
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FOCS
2009
IEEE
14 years 2 months ago
Linear Systems over Composite Moduli
We study solution sets to systems of generalized linear equations of the form ℓi(x1, x2, · · · , xn) ∈ Ai (mod m) where ℓ1, . . . , ℓt are linear forms in n Boolean var...
Arkadev Chattopadhyay, Avi Wigderson
IPPS
2002
IEEE
14 years 9 days ago
Utilization-Based Heuristics for Statically Mapping Real-Time Applications onto the HiPer-D Heterogeneous Computing System
Real-time applications continue to increase in importance as they are employed in various critical areas, such as command and control systems. These applications have traditionall...
Shoukat Ali, Jong-Kook Kim, Yang Yu, Shriram B. Gu...
STACS
1999
Springer
13 years 11 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
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