Relational semantics for the 4-valued relevant logics BN4 and E4

Journal Title: Logic and Logical Philosophy - Year 2016, Vol 25, Issue 2

Abstract

The logic BN4 was defined by R.T. Brady in 1982. It can be considered as the 4-valued logic of the relevant conditional. E4 is a variant of BN4 that can be considered as the 4-valued logic of (relevant) entailment. The aim of this paper is to define reduced general Routley-Meyer semantics for BN4 and E4. It is proved that BN4 and E4 are strongly sound and complete w.r.t. their respective semantics.

Authors and Affiliations

Gemma Robles, José M. Blanco, Sandra M. López, Jesús R. Paradela, Marcos M. Recio

Keywords

Related Articles

Can Başkent (ed.), Perspectives on Interrogative Models of Inquiry, Springer, 2016

Book Reviews: Can Başkent (ed.), Perspectives on Interrogative Models of Inquiry, Logic, Argumentation & Reasoning, Volume 8, Springer, 2016, vii + 197 pages, ISBN: 978-3-319-20761-2 (Print), 978-3-319-20762-9 (Online)....

Informal Fallacies as Abductive Inferences

All who teach logic are familiar with informal fallacies such as ad ignorantium (appeal to ignorance) and ad populum (appeal to popularity). While it is easy to give clear examples of poor reasoning of this sort, instruc...

Simple cut elimination proof for hybrid logic

In the paper we present a relatively simple proof of cut elimination theorem for variety of hybrid logics in the language with satisfaction operators and universal modality. The proof is based on the strategy introduced...

Composition as identity and plural Cantor's theorem

In this paper, I argue that the thesis of Composition as Identity blocks the plural version of Cantor’s Theorem, and that this in turn has implications for our use of Cantor’s theorem in metaphysics. As an example, I sho...

Tomasz Jarmużek and Marcin Tkaczyk: “Normalne logiki pozycyjne” (Normal Positional Logics), Wydawnictwo KUL, Lublin (Poland), 2015

Book Reviews: Tomasz Jarmużek and Marcin Tkaczyk, Normalne logiki pozycyjne (Normal Positional Logics), Wydawnictwo KUL, Lublin (Poland), 2015, 202 pages, ISBN 978-838061-114-6.

Download PDF file
  • EP ID EP201831
  • DOI 10.12775/LLP.2016.006
  • Views 58
  • Downloads 0

How To Cite

Gemma Robles, José M. Blanco, Sandra M. López, Jesús R. Paradela, Marcos M. Recio (2016). Relational semantics for the 4-valued relevant logics BN4 and E4. Logic and Logical Philosophy, 25(2), 173-201. https://europub.co.uk./articles/-A-201831