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WDAG
2007
Springer
132views Algorithms» more  WDAG 2007»
15 years 8 months ago
Detecting Temporal Logic Predicates on Distributed Computations
Abstract. We examine the problem of detecting nested temporal predicates given the execution trace of a distributed program. We present a technique that allows efficient detection ...
Vinit A. Ogale, Vijay K. Garg
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
15 years 3 months ago
Root comparison techniques applied to computing the additively weighted Voronoi diagram
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...
Menelaos I. Karavelas, Ioannis Z. Emiris
TLCA
2007
Springer
15 years 8 months ago
Polynomial Size Analysis of First-Order Functions
We present a size-aware type system for first-order shapely function definitions. Here, a function definition is called shapely when the size of the result is determined exactly...
Olha Shkaravska, Ron van Kesteren, Marko C. J. D. ...
ISSAC
2005
Springer
125views Mathematics» more  ISSAC 2005»
15 years 8 months ago
Generalized normal forms and polynomial system solving
This paper describes a new method for computing the normal form of a polynomial modulo a zero-dimensional ideal I. We give a detailed description of the algorithm, a proof of its ...
Bernard Mourrain
APPT
2009
Springer
15 years 6 months ago
Efficient Multiplication of Polynomials on Graphics Hardware
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently using the Number Theoretic transform (NTT) on Graphics Processing Units (GPU). The...
Pavel Emeliyanenko