English

Four-valued logics of indicative conditionals

Logic 2025-10-28 v1

Abstract

We detail some ways in which the study of three-valued logics of indicative conditionals can be extended by further adding a new truth-value. Our approach heavily relies on twist constructions, which have been already used in the literature in order to provide algebraic semantics in the three-valued case. Here we follow the inverse path: we first specify how these twist constructions, expanded with the new truth-value, induce new logics and then we prove the corresponding twist representation results.

Keywords

Cite

@article{arxiv.2510.21882,
  title  = {Four-valued logics of indicative conditionals},
  author = {Miguel Muñoz Pérez},
  journal= {arXiv preprint arXiv:2510.21882},
  year   = {2025}
}
R2 v1 2026-07-01T07:04:47.236Z