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arXiv · 2209.11598

Linear Orders in Presburger Arithmetic

Fedor Pakhomov·Alexander Zapryagaev
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Abstract

We prove the linear orders first-order definable in the standard model $(\ZZ;<,+)$ of Presburger arithmetic are exactly those that are $(\ZZ;<,+)$-definably embeddable into the lexicographic ordering on $\ZZ^n$ for some $n$.

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Fedor Pakhomov, Alexander Zapryagaev. 2022-09-23. Linear Orders in Presburger Arithmetic. https://arxiv.org/abs/2209.11598

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