On axioms and rexpansions
Logic
2021-02-11 v1
Abstract
We study the general problem of strengthening the logic of a given (partial) (non-deterministic) matrix with a set of axioms, using the idea of rexpansion. We obtain two characterization methods: a very general but not very effective one, and then an effective method which only applies under certain restrictions on the given semantics and the shape of the axioms. We show that this second method covers a myriad of examples in the literature. Finally, we illustrate how to obtain analytic multiple-conclusion calculi for the resulting logics.
Cite
@article{arxiv.2102.05419,
title = {On axioms and rexpansions},
author = {Carlos Caleiro and Sérgio Marcelino},
journal= {arXiv preprint arXiv:2102.05419},
year = {2021}
}
Comments
30 pages, preprint (accepted in OCL volume dedicated to Arnon Avron)