讽刺 发表于 2025-3-27 00:45:03
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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要控制 发表于 2025-3-27 05:39:56
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特征 发表于 2025-3-27 11:55:11
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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 .-dimensiInfect 发表于 2025-3-27 19:23:31
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 effeAggressive 发表于 2025-3-28 00:20:09
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