Distal expansions of Presburger arithmetic by a sparse predicate
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916928546668544 |
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| author | Tong, Mervyn |
| author_facet | Tong, Mervyn |
| contents | We prove that the structure $(\mathbb{Z},<,+,R)$ is distal for all congruence-periodic sparse predicates $R\subseteq\mathbb{N}$. We do so by constructing strong honest definitions for representative formulas of the theory, providing a rare example of concrete distal decompositions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07998 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distal expansions of Presburger arithmetic by a sparse predicate Tong, Mervyn Logic Number Theory 03C45, 03C64 (Primary) 11B37, 11U09 (Secondary) We prove that the structure $(\mathbb{Z},<,+,R)$ is distal for all congruence-periodic sparse predicates $R\subseteq\mathbb{N}$. We do so by constructing strong honest definitions for representative formulas of the theory, providing a rare example of concrete distal decompositions. |
| title | Distal expansions of Presburger arithmetic by a sparse predicate |
| topic | Logic Number Theory 03C45, 03C64 (Primary) 11B37, 11U09 (Secondary) |
| url | https://arxiv.org/abs/2401.07998 |