Abstract
Many interesting problems of the geometry over the real numbers can be stated as systems of polynomial equations, inequations, and inequalities, usually with some structure of quantification. For instance, in Sect. 1.1 the piano movers problem in robotics has been mentioned. There are many other application areas, e.g., stability conditions for difference schemes. Quantifier elimination provides an approach to solving such polynomial problems over the real numbers.
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© 1996 Springer-Verlag Wien
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Winkler, F. (1996). Quantifier elimination in real closed fields. In: Polynomial Algorithms in Computer Algebra. Texts and Monographs in Symbolic Computation. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6571-3_9
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DOI: https://doi.org/10.1007/978-3-7091-6571-3_9
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82759-8
Online ISBN: 978-3-7091-6571-3
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