Complete integer decision procedures as derived rules in HOL

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Abstract

I describe the implementation of two complete decision procedures for integer Presburger arithmetic in the HOL theorem-proving system. The first procedure is Cooper's algorithm, the second, the Omega Test. Between them, the algorithms illustrate three different implementation techniques in a fully expansive system. © Springer-Verlag Berlin Heidelberg 2003.

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Norrish, M. (2003). Complete integer decision procedures as derived rules in HOL. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2758, 71–86. https://doi.org/10.1007/10930755_5

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