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Titlebook: Quantifier Elimination and Cylindrical Algebraic Decomposition; Bob F. Caviness,Jeremy R. Johnson Conference proceedings 1998 Springer-Ver

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Conference proceedings 1998losed 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
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0943-853X ebraic 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 a
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Super-Exponential Complexity of Presburger Arithmetic,al addition and for all sufficiently large ., there is a sentence of length . for which the decision procedure runs for more than 2. steps. In the case of Presburger arithmetic, the corresponding bound is .. These bounds apply also to the minimal lengths of proofs for any complete axiomatization in which the axioms are easily recognized.
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,Quantifier Elimination by Cylindrical Algebraic Decomposition — Twenty Years of Progress,d by the author in 1973 at Carnegie Mellon University (Collins 1973b). In the twenty years since then several very important improvements have been made to the method which, together with a very large increase in available computational power, have made it possible to solve in seconds or minutes som
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