Linear Orders in Presburger Arithmetic
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915945034809344 |
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| author | Pakhomov, Fedor Zapryagaev, Alexander |
| author_facet | Pakhomov, Fedor Zapryagaev, Alexander |
| contents | 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 $n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_11598 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Linear Orders in Presburger Arithmetic Pakhomov, Fedor Zapryagaev, Alexander Logic 03F30, 06A05, 03F25 F.4.1 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 $n$. |
| title | Linear Orders in Presburger Arithmetic |
| topic | Logic 03F30, 06A05, 03F25 F.4.1 |
| url | https://arxiv.org/abs/2209.11598 |