Verifying mixed real-integer quantifier elimination

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Abstract

We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a work by Weispfenning. To this end we provide two verified quantifier elimination procedures: for Presburger arithmitics and for linear real arithmetics. © Springer-Verlag Berlin Heidelberg 2006.

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Chaieb, A. (2006). Verifying mixed real-integer quantifier elimination. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4130 LNAI, pp. 528–540). Springer Verlag. https://doi.org/10.1007/11814771_43

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