Elementary equivalence in positive logic via prime products
| Autor: | Moraschini, T., Wannenburg, J. J., Yamamoto, K. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We introduce prime products as a generalization of ultraproducts for positive logic. Prime products are shown to satisfy a version of {\L}o\'s's Theorem restricted to positive formulas, as well as the following variant of Keisler Isomorphism Theorem: under the generalized continuum hypothesis, two models have the same positive theory if and only if they have isomorphic prime powers of ultrapowers. Comment: 15 pages; Accepted to the Journal of Symbolic Logic |
| Databáze: | arXiv |
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