English

Structurally complete finitary extensions of positive \L ukasiewicz logic

Logic 2023-10-02 v1

Abstract

In this paper we study MV+\mathcal{MV}^+, i.e. the positive fragment of {\L}ukasiewicz Multi-Valued Logic MV\mathcal{MV}. In particular we describe all the finitary extensions of MV+\mathcal{MV}^+ that are structurally complete and all the axiomatic extensions of MV+\mathcal{MV}^+ that are hereditarily structurally complete. Examples of hereditarily structurally complete finitary extensions and non hereditarily structurally complete finitary extensions are provided.

Cite

@article{arxiv.2309.17297,
  title  = {Structurally complete finitary extensions of positive \L ukasiewicz logic},
  author = {Paolo Aglianò and Francesco Manfucci},
  journal= {arXiv preprint arXiv:2309.17297},
  year   = {2023}
}
R2 v1 2026-06-28T12:36:14.025Z