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arXiv · 2309.10946

Closure algebras of depth two with extremal relations: Their frames, logics, and structural completeness

Ivo Düntsch·Wojciech Dzik
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Abstract

We consider varieties generated by finite closure algebras whose canonical relations have two levels, and whose restriction to a level is an "extremal" relation, i.e. the identity or the universal relation. The corresponding logics have frames of depth two, in which a level consists of a set of simple clusters or of one cluster with one or more elements.

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Ivo Düntsch, Wojciech Dzik. 2023-09-19. Closure algebras of depth two with extremal relations: Their frames, logics, and structural completeness. https://arxiv.org/abs/2309.10946

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