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An egocentric logic of knowing how to tell them apart

An egocentric logic of knowing how to tell them apart
An egocentric logic of knowing how to tell them apart
Traditionally, the formulae in modal logic express properties of possible worlds. Prior introduced "egocentric'' logics that capture properties of agents rather than of possible worlds. In such a setting, the article proposes the modality ``know how to tell apart'' and gives a complete logical system describing the interplay between this modality and the knowledge modality. An important contribution of this work is a new matrix-based technique for proving completeness theorems in an egocentric setting.
0022-4812
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Tao, Jia
008c0748-696c-4069-a351-551d311e8056
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Tao, Jia
008c0748-696c-4069-a351-551d311e8056

Naumov, Pavel and Tao, Jia (2023) An egocentric logic of knowing how to tell them apart. Journal of Symbolic Logic, JSL. (doi:10.1017/jsl.2023.45).

Record type: Article

Abstract

Traditionally, the formulae in modal logic express properties of possible worlds. Prior introduced "egocentric'' logics that capture properties of agents rather than of possible worlds. In such a setting, the article proposes the modality ``know how to tell apart'' and gives a complete logical system describing the interplay between this modality and the knowledge modality. An important contribution of this work is a new matrix-based technique for proving completeness theorems in an egocentric setting.

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2023-jsl-nt - Accepted Manuscript
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More information

Accepted/In Press date: 22 June 2023
e-pub ahead of print date: 29 June 2023
Published date: 29 June 2023
Additional Information: Publisher Copyright: © 2000 Association for Symbolic Logic.
Learn more about Agents, Interactions and Complexity research

Identifiers

Local EPrints ID: 478665
URI: http://eprints.soton.ac.uk/id/eprint/478665
DOI: doi:10.1017/jsl.2023.45
ISSN: 0022-4812
PURE UUID: 43c634eb-e902-47c1-9907-e7121feb0bdd
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

Catalogue record

Date deposited: 06 Jul 2023 16:51
Last modified: 17 Mar 2024 07:45

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Contributors

Author: Pavel Naumov ORCID iD
Author: Jia Tao

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