A game theoretical semantics for logics of nonsense

Conference paper

Baskent, C. 2020. A game theoretical semantics for logics of nonsense. Raskin, J. and Bresolin, D. (ed.) GandALF 2020. Brussels, Belgium [Online event] 21 - 22 Sep 2020 Open Publishing Association. pp. 66-81 https://doi.org/10.4204/EPTCS.326.5
TypeConference paper
TitleA game theoretical semantics for logics of nonsense
AuthorsBaskent, C.
Abstract

Logics of non-sense allow a third truth value to express propositions that are nonsense. These logics are ideal formalisms to understand how errors are handled in programs and how they propagate throughout the programs once they appear. In this paper, we give a Hintikkan game semantics for logics of non-sense and prove its correctness. We also discuss how a known solution method in game theory, the iterated elimination of strictly dominated strategies, relates to semantic games for logics of nonsense. Finally, we extend the logics of nonsense only by means of semantic games, developing a new logic of nonsense, and propose a new game semantics for Priest’s Logic of Paradox.

Research GroupFoundations of Computing group
ConferenceGandALF 2020
Page range66-81
Proceedings TitleEPTCS 326: Proceedings 11th International Symposium on Games, Automata, Logics, and Formal Verification (GandALF’20)
EditorsRaskin, J. and Bresolin, D.
ISSN2075-2180
PublisherOpen Publishing Association
Publication dates
Online20 Sep 2020
Publication process dates
Deposited07 Mar 2022
Accepted03 Aug 2020
Output statusPublished
Publisher's version
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Copyright Statement

© C. Baskent
This work is licensed under the Creative Commons Attribution License.

Digital Object Identifier (DOI)https://doi.org/10.4204/EPTCS.326.5
LanguageEnglish
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