In this paper, we describe a parallelization scheme for Collins’ cylindrical algebraic decomposition algorithm for quantifier elimination in the theory of real closed fields. ...
Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangular decomposition is among the most important approache...
Changbo Chen, Marc Moreno Maza, Bican Xia, Lu Yang
Real algebraic numbers appear in many Computer Algebra pro bJems. For inst ante the determination of a cylindrical algebraic decomposition for an euclidian space requires compu ti...
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...