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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.00188 |
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| _version_ | 1866917053550559232 |
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| author | De Berardinis, Matteo Ghilardi, Silvio |
| author_facet | De Berardinis, Matteo Ghilardi, Silvio |
| contents | We show that the category of finite $\textit{S5}$-algebras (dual to finite reflexive, symmetric and transitive Kripke frames) classifies the essentially algebraic theory whose models are Kan extensions of faithful actions of the finite symmetric groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An essentially algebraic glance to Kripke semantics: the S5 case De Berardinis, Matteo Ghilardi, Silvio Logic We show that the category of finite $\textit{S5}$-algebras (dual to finite reflexive, symmetric and transitive Kripke frames) classifies the essentially algebraic theory whose models are Kan extensions of faithful actions of the finite symmetric groups. |
| title | An essentially algebraic glance to Kripke semantics: the S5 case |
| topic | Logic |
| url | https://arxiv.org/abs/2511.00188 |