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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1908.02708 |
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| _version_ | 1866909536381566976 |
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| author | Adam-Day, Bea Howe, John Mennuni, Rosario |
| author_facet | Adam-Day, Bea Howe, John Mennuni, Rosario |
| contents | We answer some questions about graphs which are reducts of countable models of Anti-Foundation, obtained by considering the binary relation of double-membership $x\in y\in x$. We show that there are continuum-many such graphs, and study their connected components. We describe their complete theories and prove that each has continuum-many countable models, some of which are not reducts of models of Anti-Foundation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_02708 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On double-membership graphs of models of Anti-Foundation Adam-Day, Bea Howe, John Mennuni, Rosario Logic 03C62 (Primary) 03C13, 03E30, 03E65 (Secondary) We answer some questions about graphs which are reducts of countable models of Anti-Foundation, obtained by considering the binary relation of double-membership $x\in y\in x$. We show that there are continuum-many such graphs, and study their connected components. We describe their complete theories and prove that each has continuum-many countable models, some of which are not reducts of models of Anti-Foundation. |
| title | On double-membership graphs of models of Anti-Foundation |
| topic | Logic 03C62 (Primary) 03C13, 03E30, 03E65 (Secondary) |
| url | https://arxiv.org/abs/1908.02708 |