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» Fast arithmetic for triangular sets: from theory to practice
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ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
STTT
2008
95views more  STTT 2008»
13 years 4 months ago
FAST: acceleration from theory to practice
Abstract. Fast is a tool for the analysis of systems manipulating unbounded integer variables. We check safety properties by computing the reachability set of the system under stud...
Sébastien Bardin, Alain Finkel, Jér&...
ISSAC
2007
Springer
177views Mathematics» more  ISSAC 2007»
13 years 10 months ago
Component-level parallelization of triangular decompositions
We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decompositions. We introduce a component-level parallelism for which ...
Marc Moreno Maza, Yuzhen Xie
DATE
2006
IEEE
104views Hardware» more  DATE 2006»
13 years 10 months ago
Equivalence verification of arithmetic datapaths with multiple word-length operands
Abstract: This paper addresses the problem of equivalence veriļ¬cation of RTL descriptions that implement arithmetic computations (add, mult, shift) over bitvectors that have diļ¬...
Namrata Shekhar, Priyank Kalla, Florian Enescu
VMCAI
2007
Springer
13 years 10 months ago
Constraint Solving for Interpolation
Interpolation is an important component of recent methods for program veriļ¬cation. It provides a natural and eļ¬€ective means for computing separation between the sets of ā€˜good...
Andrey Rybalchenko, Viorica Sofronie-Stokkermans