On solving presburger and linear arithmetic with SAT

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Abstract

We show a reduction to propositional logic from quantifierfree Presburger arithmetic, and disjunctive linear arithmetic, based on Fourier-Motzkin elimination. While the complexity ofthis procedure is not better than competing techniques, it has practical advantages in solving verification problems. It also promotes the option ofdeciding a combination oftheories by reducing them to this logic.

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Strichman, O. (2002). On solving presburger and linear arithmetic with SAT. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2517, pp. 160–170). Springer Verlag. https://doi.org/10.1007/3-540-36126-x_10

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