Dualities in modal logic from the point of view of triples
Logic
2013-02-25 v1
Abstract
In this paper we show how the theory of monads can be used to deduce in a uniform manner several duality theorems involving categories of relations on one side and categories of algebras with homomorphisms preserving only some operations on the other. Furthermore, we investigate the monoidal structure induced by Cartesian product on the relational side and show that in some cases the corresponding operation on the algebraic side represents bimorphisms.
Keywords
Cite
@article{arxiv.1302.5609,
title = {Dualities in modal logic from the point of view of triples},
author = {Dirk Hofmann and Pedro Nora},
journal= {arXiv preprint arXiv:1302.5609},
year = {2013}
}