On neighborhood product of some Horn axiomatizable logics

Andrey Kudinov

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arXiv · 1609.03232

On neighborhood product of some Horn axiomatizable logics

Andrey Kudinov

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Abstract

We consider modal logics of products of neighborhood frames. We define n-product of modal logics as the logic of all products of neighborhood frames of corresponding logics and find n-product of any two pretransitive Horn axiomatizable logics. As a corrolary we find the d-logic of products of topological spaces for some classes of topological spaces.

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Andrey Kudinov. 2016-09-11. On neighborhood product of some Horn axiomatizable logics. https://arxiv.org/abs/1609.03232

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