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» On Coherence in Computer Algebra
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WADT
2004
Springer
15 years 9 months ago
Theoroidal Maps as Algebraic Simulations
Abstract. Computational systems are often represented by means of Kripke structures, and related using simulations. We propose rewriting logic as a flexible and executable framewo...
Narciso Martí-Oliet, José Meseguer, ...
COMPGEOM
2000
ACM
15 years 8 months ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...
AMC
2010
111views more  AMC 2010»
15 years 4 months ago
Algebraic C*-actions and the inverse kinematics of a general 6R manipulator
Let X be a smooth quadric of dimension 2m in P2m+1 C and let Y, Z X be subvarieties both of dimension m which intersect transversely. In this paper we give an algorithm for comput...
Sandra Di Rocco, David Eklund, Andrew J. Sommese, ...
DCG
2008
69views more  DCG 2008»
15 years 4 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
TCS
2008
15 years 4 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas