Iterating reflection over intuitionistic arithmetic
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908876729745408 |
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| author | Frittaion, Emanuele |
| author_facet | Frittaion, Emanuele |
| contents | In this note, we investigate iterations of consistency, local and uniform reflection over $\mathbf{HA}$ (Heyting Arithmetic). In the case of uniform reflection, we give a new proof of Dragalin's extension of Feferman's completeness theorem to $\mathbf{HA}$, drawing on Rathjen's proof of Feferman's classical result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07777 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iterating reflection over intuitionistic arithmetic Frittaion, Emanuele Logic In this note, we investigate iterations of consistency, local and uniform reflection over $\mathbf{HA}$ (Heyting Arithmetic). In the case of uniform reflection, we give a new proof of Dragalin's extension of Feferman's completeness theorem to $\mathbf{HA}$, drawing on Rathjen's proof of Feferman's classical result. |
| title | Iterating reflection over intuitionistic arithmetic |
| topic | Logic |
| url | https://arxiv.org/abs/2411.07777 |