A Type Theory with a Tiny Object
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910353093296128 |
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| author | Riley, Mitchell |
| author_facet | Riley, Mitchell |
| contents | We present an extension of Martin-Löf Type Theory that contains a tiny object; a type for which there is a right adjoint to the formation of function types as well as the expected left adjoint. We demonstrate the practicality of this type theory by proving various properties related to tininess internally and suggest a few potential applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Type Theory with a Tiny Object Riley, Mitchell Category Theory Programming Languages Logic We present an extension of Martin-Löf Type Theory that contains a tiny object; a type for which there is a right adjoint to the formation of function types as well as the expected left adjoint. We demonstrate the practicality of this type theory by proving various properties related to tininess internally and suggest a few potential applications. |
| title | A Type Theory with a Tiny Object |
| topic | Category Theory Programming Languages Logic |
| url | https://arxiv.org/abs/2403.01939 |