An essentially algebraic glance to Kripke semantics: the S5 case

Fuente: arXiv
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Auteurs principaux: De Berardinis, Matteo, Ghilardi, Silvio
Format: Preprint
Publié: 2025
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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