Quantifier Elimination and Cylindrical Algebraic Decomposition

Caviness, Bob F.; Johnson, Jeremy R.

George Collins’ discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the-art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. It contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area including Tarski’s landmark paper as well as a survey outlining the developments in CAD based QE that have taken place in the last twenty years.

Details

Published by: Springer

Publication Date: 1998-04-16

Format: Paperback

ISBN-13: 9783211827949

DOI: 10.1007/978-3-7091-9459-1

Dimensions: 244.0cm x170.0cm

Pages: 431.0