Playing games with diagrams: truth diagrams and game semantics

Conference paper

Baskent, C. 2024. Playing games with diagrams: truth diagrams and game semantics. Lemanski, J., Johansen, M.W., Manalo, E., Viana, P., Bhattacharjee, R. and Burns, R. (ed.) 14th International Conference on Theory and Application of Diagrams. Münster, Germany 27 Sep - 01 Oct 2024 Cham Springer. pp. 300-315 https://doi.org/10.1007/978-3-031-71291-3_24
TypeConference paper
TitlePlaying games with diagrams: truth diagrams and game semantics
AuthorsBaskent, C.
Abstract

In this paper we discuss the connection between truth diagrams and game semantics. Truth diagrams offer a diagrammatic way to represent truth in propositional logic. Game semantics, on the other hand, offers a strategic and game theoretical way to establish the truth value of a given formula. By establishing a relation between the two, we offer another diagrammatic reasoning for game semantics, beyond game trees; and characterise various operations on truth diagrams game theoretically.

KeywordsTruth diagrams; Game Semantics; Propositional Logic; Iterated elimination of strictly dominated strategies
Sustainable Development Goals4 Quality education
Middlesex University ThemeCreativity, Culture & Enterprise
Conference14th International Conference on Theory and Application of Diagrams
Page range300-315
Proceedings TitleDiagrammatic Representation and Inference: 14th International Conference, Diagrams 2024, Münster, Germany, September 27 – October 1, 2024, Proceedings
SeriesLecture Notes in Computer Science
Lecture Notes in Artificial Intelligence
EditorsLemanski, J., Johansen, M.W., Manalo, E., Viana, P., Bhattacharjee, R. and Burns, R.
ISSN0302-9743
Electronic1611-3349
ISBN
Paperback9783031712906
Electronic9783031712913
PublisherSpringer
Place of publicationCham
Publication dates
Online09 Sep 2024
Print09 Sep 2024
Publication process dates
AcceptedAug 2024
Deposited20 Sep 2024
Output statusPublished
Accepted author manuscript
File Access Level
Open
Digital Object Identifier (DOI)https://doi.org/10.1007/978-3-031-71291-3_24
Web address (URL) of conference proceedingshttps://doi.org/10.1007/978-3-031-71291-3
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