Affine logic with the integration operator
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912917685796864 |
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| author | Bagheri, Seyed-Mohammad |
| author_facet | Bagheri, Seyed-Mohammad |
| contents | Affine continuous logic is extended to affine integration logic. Affine compactness theorem is proved by both the ultramean construction and Henkin's method. Also, a proof system and a completeness theorem are given. An appropriate variant of the Keisler-Shelah isomorphism theorem holds in this setting. This helps us to characterize non-forking extensions in affine stable theories by means of the notion of elementary embedding in the expanded logic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19056 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Affine logic with the integration operator Bagheri, Seyed-Mohammad Logic 03C20, 03C66, 03C80 Affine continuous logic is extended to affine integration logic. Affine compactness theorem is proved by both the ultramean construction and Henkin's method. Also, a proof system and a completeness theorem are given. An appropriate variant of the Keisler-Shelah isomorphism theorem holds in this setting. This helps us to characterize non-forking extensions in affine stable theories by means of the notion of elementary embedding in the expanded logic. |
| title | Affine logic with the integration operator |
| topic | Logic 03C20, 03C66, 03C80 |
| url | https://arxiv.org/abs/2602.19056 |