Two-dimensional Kripke Semantics I: Presheaves
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913344627146752 |
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| author | Kavvos, G. A. |
| author_facet | Kavvos, G. A. |
| contents | The study of modal logic has witnessed tremendous development following the introduction of Kripke semantics. However, recent developments in programming languages and type theory have led to a second way of studying modalities, namely through their categorical semantics. We show how the two correspond. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-dimensional Kripke Semantics I: Presheaves Kavvos, G. A. Logic in Computer Science Category Theory Logic 03B45 (Primary), 03B20, 03B70, 68Q55, 06D20, 06D22, 06D10, 06D50, 18A15, 18A40, 18F20, 18D60 (Secondary) F.4.1; F.3.2 The study of modal logic has witnessed tremendous development following the introduction of Kripke semantics. However, recent developments in programming languages and type theory have led to a second way of studying modalities, namely through their categorical semantics. We show how the two correspond. |
| title | Two-dimensional Kripke Semantics I: Presheaves |
| topic | Logic in Computer Science Category Theory Logic 03B45 (Primary), 03B20, 03B70, 68Q55, 06D20, 06D22, 06D10, 06D50, 18A15, 18A40, 18F20, 18D60 (Secondary) F.4.1; F.3.2 |
| url | https://arxiv.org/abs/2405.04157 |