Linear orders in Presburger arithmetic

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ID: 320978
2026
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Abstract
Abstract We prove the linear orders first-order definable in the standard model $(\mathbb{Z};<,+)$ of Presburger arithmetic are exactly those that are $(\mathbb{Z};<,+)$-definably embeddable into the lexicographic ordering on $\mathbb{Z}^{n}$ for some $n$.
Reference Key
openalex_W4297163928 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Fedor Pakhomov, Alexander Zapryagaev
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Journal Logic Journal of IGPL
Year 2026
DOI
10.1093/jigpal/jzag045
URL
https://doi.org/10.1093/jigpal/jzag045
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