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FROCOS
2007
Springer
16 years 28 days 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 27 days 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 27 days 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 27 days 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 26 days 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