Game theoretical semantics for some non-classical logics

Article

Baskent, C. 2016. Game theoretical semantics for some non-classical logics. Journal of Applied Non-Classical Logics. 26 (3), pp. 208-239. https://doi.org/10.1080/11663081.2016.1225488
TypeArticle
TitleGame theoretical semantics for some non-classical logics
AuthorsBaskent, C.
Abstract

Paraconsistent logics are the formal systems in which absurdities do not trivialise the logic. In this paper, we give Hintikka-style game theoretical semantics for a variety of paraconsistent and non-classical logics. For this purpose, we consider Priest’s Logic of Paradox, Dunn’s First-Degree Entailment, Routleys’ Relevant Logics, McCall’s Connexive Logic and Belnap’s four-valued logic. We also present a game theoretical characterisation of a translation between Logic of Paradox/Kleene’s K3 and S5. We underline how non-classical logics require different verification games and prove the correctness theorems of their respective game theoretical semantics. This allows us to observe that paraconsistent logics break the classical bidirectional connection between winning strategies and truth values.

Research GroupFoundations of Computing group
PublisherTaylor & Francis (Routledge)
JournalJournal of Applied Non-Classical Logics
ISSN1166-3081
Electronic1958-5780
Publication dates
Online02 Sep 2016
Print02 Jul 2016
Publication process dates
Deposited24 Jan 2020
Accepted15 Aug 2016
Output statusPublished
Accepted author manuscript
Copyright Statement

This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Applied Non-Classical Logics on 02/09/2016, available online: http://www.tandfonline.com/10.1080/11663081.2016.1225488

Digital Object Identifier (DOI)https://doi.org/10.1080/11663081.2016.1225488
LanguageEnglish
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