Conditional algebras
Logic
2025-03-03 v3
Abstract
Drawing on the classic paper by Chellas "Basic conditional logic" (1975), we propose a general algebraic framework for studying a binary operation of conditional that models universal features of the "if..., then..." connective as strictly related to the unary modal necessity operator. To this end, we introduce a variety of conditional algebras, and we develop its duality and canonical extensions theory.
Cite
@article{arxiv.2404.13480,
title = {Conditional algebras},
author = {Sergio Celani and Rafał Gruszczyński and Paula Menchón},
journal= {arXiv preprint arXiv:2404.13480},
year = {2025}
}