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FSTTCS
2009
Springer
14 years 2 months ago
The Power of Depth 2 Circuits over Algebras
We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra. We show that identity testing of depth 3 (ΣΠΣ) arithmetic circuit...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
JLP
2007
89views more  JLP 2007»
13 years 7 months ago
Universality and semicomputability for nondeterministic programming languages over abstract algebras
tract Algebras Wei Jiang∗ , Yuan Wang† , and Jeffery Zucker‡ September 11, 2006 The Universal Function Theorem (UFT) originated in 1930s with the work of Alan Turing, who p...
Wei Jiang, Yuan Wang, Jeffery I. Zucker
JSC
2010
96views more  JSC 2010»
13 years 5 months ago
On a generalization of Stickelberger's Theorem
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
Peter Scheiblechner
WDAG
2005
Springer
118views Algorithms» more  WDAG 2005»
14 years 28 days ago
Distributed Computing with Imperfect Randomness
Randomness is a critical resource in many computational scenarios, enabling solutions where deterministic ones are elusive or even provably impossible. However, the randomized solu...
Shafi Goldwasser, Madhu Sudan, Vinod Vaikuntanatha...
SODA
1994
ACM
133views Algorithms» more  SODA 1994»
13 years 8 months ago
Derandomizing Algorithms for Routing and Sorting on Meshes
We describe a new technique that can be used to derandomize a number of randomized algorithms for routing and sorting on meshes. We demonstrate the power of this technique by deri...
Michael Kaufmann, Jop F. Sibeyn, Torsten Suel