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arXiv · 0812.1967

Decomposition of Decidable First-Order Logics over Integers and Reals

Florent Bouchy·Alain Finkel·Jérôme Leroux
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Abstract

We tackle the issue of representing infinite sets of real- valued vectors. This paper introduces an operator for combining integer and real sets. Using this operator, we decompose three well-known logics extending Presburger with reals. Our decomposition splits a logic into two parts : one integer, and one decimal (i.e. on the interval [0,1]). We also give a basis for an implementation of our representation.

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Florent Bouchy, Alain Finkel, Jérôme Leroux. 2008-12-10. Decomposition of Decidable First-Order Logics over Integers and Reals. https://doi.org/10.1109/time.2008.22

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