Distributive abstract logics and the Esakia duality

Andreas B. M. Brunner; Darllan Conceição Pinto

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arXiv · 1408.3604

Distributive abstract logics and the Esakia duality

Andreas B. M. Brunner·Darllan Conceição Pinto

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Abstract

In this paper we develop an almost general process to switch from abstract logics in the sense of Brown and Suszko to lattices. With this method we can establish dualities between some categories of abstract logics to the correspondent topological space categories. In more detail we will explain the duality between the category of abstract intuitionistic logics with intuitionistic morphisms and the category of Esakia spaces with the Esakia morphisms.

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BibTeX RIS

Andreas B. M. Brunner, Darllan Conceição Pinto. 2014-08-15. Distributive abstract logics and the Esakia duality. https://arxiv.org/abs/1408.3604

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