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» On Coalgebras over Algebras
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FOCS
2009
IEEE
14 years 2 months ago
Constructing Small-Bias Sets from Algebraic-Geometric Codes
We give an explicit construction of an -biased set over k bits of size O k 2 log(1/ ) 5/4 . This improves upon previous explicit constructions when is roughly (ignoring logarith
Avraham Ben-Aroya, Amnon Ta-Shma
ACMMPC
2000
Springer
249views Mathematics» more  ACMMPC 2000»
14 years 1 days ago
Algebraic Methods for Optimization Problems
Abstract. We argue for the benefits of relations over functions for modelling programs, and even more so for modelling specifications. To support this argument, we present an ext...
Richard S. Bird, Jeremy Gibbons, Shin-Cheng Mu
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 7 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
ENTCS
2006
114views more  ENTCS 2006»
13 years 7 months ago
What is algebraic in process theory?
This is an extended version of an essay with the same title that I wrote for the workshop Algebraic Process Calculi: The First Twenty Five Years and Beyond, held in Bertinoro, Ita...
Bas Luttik
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 1 months ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas