Quantifier Elimination and Cylindrical Algebraic Decomposition
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.
| ISBN: | 9783211827949 |
|---|---|
| Sprache: | Englisch |
| Seitenzahl: | 431 |
| Produktart: | Kartoniert / Broschiert |
| Herausgeber: | Caviness, Bob F. Johnson, Jeremy R. |
| Verlag: | Springer Wien |
| Veröffentlicht: | 16.04.1998 |
| Schlagworte: | Algebraic Computation Symbolic Computation Symbolisches Rechnen Variable algorithms calculus complexity geometry proof |