On the first-order theory of the remainder
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912412650700800 |
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| author | Prunescu, Mihai |
| author_facet | Prunescu, Mihai |
| contents | It is proved that the first-order theory of the structure (N,mod) is undecidable. Here mod denotes the operation of computing the remainder for any division between positive integers; i.e. x mod y is the remainder obtained by the division x : y. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03204 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the first-order theory of the remainder Prunescu, Mihai Logic 03D35 It is proved that the first-order theory of the structure (N,mod) is undecidable. Here mod denotes the operation of computing the remainder for any division between positive integers; i.e. x mod y is the remainder obtained by the division x : y. |
| title | On the first-order theory of the remainder |
| topic | Logic 03D35 |
| url | https://arxiv.org/abs/2506.03204 |