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Quantifier Elimination and Cylindrical Algebraic Decomposition

Quantifier Elimination and Cylindrical Algebraic Decomposition

Paperback

Series: Texts & Monographs in Symbolic Computation

FictionAlgebraGeneral Computers

ISBN10: 3211827943
ISBN13: 9783211827949
Publisher: Springer Nature
Published: Apr 16 1998
Pages: 431
Weight: 1.59
Height: 0.92 Width: 6.69 Depth: 9.61
Language: English
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.

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Algebra