Quantifier Elimination and Cylindrical Algebraic Decomposition

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Quantifier Elimination and Cylindrical Algebraic Decomposition is written by Bob F. Caviness and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 3709194598 (ISBN 10) and 9783709194591 (ISBN 13).

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.