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» Algorithms for Ordinal Arithmetic
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CADE
2011
Springer
12 years 7 months ago
Cutting to the Chase Solving Linear Integer Arithmetic
Abstract. We describe a new algorithm for solving linear integer programming problems. The algorithm performs a DPLL style search for a feasible assignment, while using a novel cut...
Dejan Jovanovic, Leonardo Mendonça de Moura
CASC
2009
Springer
103views Mathematics» more  CASC 2009»
14 years 2 months ago
Lazy and Forgetful Polynomial Arithmetic and Applications
We present lazy and forgetful algorithms for adding, multiplying and dividing multivariate polynomials. The lazy property allows us to compute the i-th term of a polynomial withou...
Michael B. Monagan, Paul Vrbik
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
14 years 1 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
GLVLSI
2002
IEEE
160views VLSI» more  GLVLSI 2002»
14 years 15 days ago
Computing walsh, arithmetic, and reed-muller spectral decision diagrams using graph transformations
Spectral techniques have found many applications in computeraided design, including synthesis, verification, and testing. Decision diagram representations permit spectral coeffici...
Whitney J. Townsend, Mitchell A. Thornton, Rolf Dr...
ANTS
2008
Springer
133views Algorithms» more  ANTS 2008»
13 years 9 months ago
Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors
We discuss arithmetic in the Jacobian of a hyperelliptic curve C of genus g. The traditional approach is to fix a point P C and represent divisor classes in the form E - d(P) wher...
Steven D. Galbraith, Michael Harrison, David J. Mi...