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» On Rainbow Arithmetic Progressions
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ISSAC
2009
Springer
144views Mathematics» more  ISSAC 2009»
14 years 4 months ago
H-LLL: using householder inside LLL
We describe a new LLL-type algorithm, H-LLL, that relies on Householder transformations to approximate the underlying Gram-Schmidt orthogonalizations. The latter computations are ...
Ivan Morel, Damien Stehlé, Gilles Villard
FMCAD
2007
Springer
14 years 4 months ago
Lifting Propositional Interpolants to the Word-Level
— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...
Daniel Kroening, Georg Weissenbacher
ANTS
2010
Springer
252views Algorithms» more  ANTS 2010»
14 years 1 months ago
On a Problem of Hajdu and Tengely
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ï...
Samir Siksek, Michael Stoll
DCC
1995
IEEE
14 years 1 months ago
Quadtree Based JBIG Compression
A JBIG compliant, quadtree based, lossless image compression algorithm is described. In terms of the number of arithmetic coding operations required to code an image, this algorit...
Boyd Fowler, Ronald Arps, Abbas El Gamal, D. Yang
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 11 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi