Truth diagrams for some non-classical and modal logics

Article

Baskent, C. 2024. Truth diagrams for some non-classical and modal logics. Journal of Applied Non-Classical Logics. 34 (4), pp. 527-560. https://doi.org/10.1080/11663081.2024.2366752
TypeArticle
TitleTruth diagrams for some non-classical and modal logics
AuthorsBaskent, C.
Abstract

This paper examines truth diagrams for some non-classical, modal and dynamic logics. Truth diagrams are diagrammatic and visual ways to represent logical truth akin to truth tables, developed by Peter C.-H. Cheng. Currently, it is only given for classical propositional logic. In this paper, we establish truth diagrams for Priest's Logic of Paradox, Belnap–Dunn's Four-Valued Logic, MacColl's Connexive Logic, Bochvar–Halldén's Logic of Non-Sense, Carnielli–Coniglio's logic of formal inconsistency as well as classical modal logic and its dynamic extension to shed light on the semantic behaviour of some non-classical and modal logics.

KeywordsTruth diagrams; paraconsistent logic; non-classical logic; modal logic
Sustainable Development Goals4 Quality education
Middlesex University ThemeCreativity, Culture & Enterprise
PublisherTaylor & Francis (Routledge)
JournalJournal of Applied Non-Classical Logics
ISSN1166-3081
Electronic1958-5780
Publication dates
Online04 Jul 2024
PrintOct 2024
Publication process dates
Submitted04 Jul 2023
Accepted20 Apr 2024
Deposited08 Jul 2024
Output statusPublished
Accepted author manuscript
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File Access Level
Open
Copyright Statement

This is an original manuscript of an article published by Taylor & Francis in Journal of Applied Non-Classical Logics on 04 July 2024, available at: https://doi.org/10.1080/11663081.2024.2366752.

Digital Object Identifier (DOI)https://doi.org/10.1080/11663081.2024.2366752
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