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

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Quantifier Elimination for Real Closed Fields by Cylindrical Algebraic Decomposition,30). As noted by Tarski, any quantifier elimination method for this theory also provides a decision method, which enables one to decide whether any sentence of the theory is true or false. Since many important and difficult mathematical problems can be expressed in this theory, any computationally f

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Super-Exponential Complexity of Presburger Arithmetic, theories of logic: the first-order theory of the real numbers under addition, and Presburger arithmetic — the first-order theory of addition on the natural numbers. There is a fixed constant . > 0 such that for every (nondeterministic) decision procedure for determining the truth of sentences of re

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An Improvement of the Projection Operator in Cylindrical Algebraic Decomposition,s, provided that the required amount of computation can be sufficiently reduced. An important component of the CAD method is the projection operation. Given a set . of .-variate polynomials, the projection operation produces a certain set . of (. − l)-variate polynomials such that a CAD of .-dimensi

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Partial Cylindrical Algebraic Decomposition for Quantifier Elimination,s by means of quantifier elimination, provided that the required amount of computation can be sufficiently reduced. Arnon (1981) introduced the important method of clustering for reducing the required computation and McCallum (1984) introduced an improved projection operation which is also very effe

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