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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2208.12944 |
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| _version_ | 1866910558195810304 |
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| author | Arai, Toshiyasu |
| author_facet | Arai, Toshiyasu |
| contents | In this paper we give an ordinal analysis of a set theory extending ${\sf KP}\ell^{r}$ with an axiom stating that `there exists a transitive set $M$ such that $M\prec_{Σ_{1}}V$'. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12944 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An ordinal analysis of a single stable ordinal Arai, Toshiyasu Logic 03F99 In this paper we give an ordinal analysis of a set theory extending ${\sf KP}\ell^{r}$ with an axiom stating that `there exists a transitive set $M$ such that $M\prec_{Σ_{1}}V$'. |
| title | An ordinal analysis of a single stable ordinal |
| topic | Logic 03F99 |
| url | https://arxiv.org/abs/2208.12944 |