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FROCOS
2007
Springer
16 years 1 months ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
16 years 1 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
16 years 1 months ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
ISSAC
2007
Springer
106views Mathematics» more  ISSAC 2007»
16 years 1 months ago
Numerical techniques for computing the inertia of products of matrices of rational numbers
Consider a rational matrix, particularly one whose entries have large numerators and denominators, but which is presented as a product of very sparse matrices with relatively smal...
John P. May, B. David Saunders, David Harlan Wood
WAIFI
2007
Springer
110views Mathematics» more  WAIFI 2007»
16 years 1 months ago
On Kabatianskii-Krouk-Smeets Signatures
Kabastianskii, Krouk and Smeets proposed in 1997 a digital signature scheme based on random error-correcting codes. In this paper we investigate the security and the efficiency of ...
Pierre-Louis Cayrel, Ayoub Otmani, Damien Vergnaud