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Neighbourhood Semantics for FDE-Based Modal Logics. / Drobyshevich, S.; Skurt, D.

In: Studia Logica, Vol. 109, No. 6, 12.2021, p. 1273-1309.

Research output: Contribution to journal › Article › peer-review

Harvard

Drobyshevich, S & Skurt, D 2021, 'Neighbourhood Semantics for FDE-Based Modal Logics', Studia Logica, vol. 109, no. 6, pp. 1273-1309. https://doi.org/10.1007/s11225-021-09948-z

APA

Drobyshevich, S., & Skurt, D. (2021). Neighbourhood Semantics for FDE-Based Modal Logics. Studia Logica, 109(6), 1273-1309. https://doi.org/10.1007/s11225-021-09948-z

Vancouver

Drobyshevich S, Skurt D. Neighbourhood Semantics for FDE-Based Modal Logics. Studia Logica. 2021 Dec;109(6):1273-1309. doi: 10.1007/s11225-021-09948-z

Author

Drobyshevich, S. ; Skurt, D. / Neighbourhood Semantics for FDE-Based Modal Logics. In: Studia Logica. 2021 ; Vol. 109, No. 6. pp. 1273-1309.

BibTeX

@article{02e831aa23324b32a228fa616d4c757d,
title = "Neighbourhood Semantics for FDE-Based Modal Logics",
abstract = "We investigate some non-normal variants of well-studied paraconsistent and paracomplete modal logics that are based on N. Belnap{\textquoteright}s and M. Dunn{\textquoteright}s four-valued logic. Our basic non-normal modal logics are characterized by a weak extensionality rule, which reflects the four-valued nature of underlying logics. Aside from introducing our basic framework of bi-neighbourhood semantics, we develop a correspondence theory in order to prove completeness results with respect to our neighbourhood semantics for non-normal variants of BK, BKFS and MBL.",
keywords = "Correspondence theory, FDE, Many-valued logic, Modal logic, Neighbourhood semantics",
author = "S. Drobyshevich and D. Skurt",
note = "Funding Information: The work reported in this paper has been carried out as part of the research project “ FDE -based Modal Logics”, supported by the Deutsche Forschungsgemeinschaft, DFG, grant WA 936/13-1, and the Russian Foundation for Basic Research, RFBR, grant No. 18-501-12019. We gratefully acknowledge this support. We also thank an anonymous reviewer for some useful comments which helped improve the presentation of the paper. Publisher Copyright: {\textcopyright} 2021, Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = dec,
doi = "10.1007/s11225-021-09948-z",
language = "English",
volume = "109",
pages = "1273--1309",
journal = "Studia Logica",
issn = "0039-3215",
publisher = "Springer Netherlands",
number = "6",

}

RIS

TY - JOUR

T1 - Neighbourhood Semantics for FDE-Based Modal Logics

AU - Drobyshevich, S.

AU - Skurt, D.

N1 - Funding Information: The work reported in this paper has been carried out as part of the research project “ FDE -based Modal Logics”, supported by the Deutsche Forschungsgemeinschaft, DFG, grant WA 936/13-1, and the Russian Foundation for Basic Research, RFBR, grant No. 18-501-12019. We gratefully acknowledge this support. We also thank an anonymous reviewer for some useful comments which helped improve the presentation of the paper. Publisher Copyright: © 2021, Springer Nature B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/12

Y1 - 2021/12

N2 - We investigate some non-normal variants of well-studied paraconsistent and paracomplete modal logics that are based on N. Belnap’s and M. Dunn’s four-valued logic. Our basic non-normal modal logics are characterized by a weak extensionality rule, which reflects the four-valued nature of underlying logics. Aside from introducing our basic framework of bi-neighbourhood semantics, we develop a correspondence theory in order to prove completeness results with respect to our neighbourhood semantics for non-normal variants of BK, BKFS and MBL.

AB - We investigate some non-normal variants of well-studied paraconsistent and paracomplete modal logics that are based on N. Belnap’s and M. Dunn’s four-valued logic. Our basic non-normal modal logics are characterized by a weak extensionality rule, which reflects the four-valued nature of underlying logics. Aside from introducing our basic framework of bi-neighbourhood semantics, we develop a correspondence theory in order to prove completeness results with respect to our neighbourhood semantics for non-normal variants of BK, BKFS and MBL.

KW - Correspondence theory

KW - FDE

KW - Many-valued logic

KW - Modal logic

KW - Neighbourhood semantics

UR - http://www.scopus.com/inward/record.url?scp=85104962238&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=46057209

U2 - 10.1007/s11225-021-09948-z

DO - 10.1007/s11225-021-09948-z

M3 - Article

AN - SCOPUS:85104962238

VL - 109

SP - 1273

EP - 1309

JO - Studia Logica

JF - Studia Logica

SN - 0039-3215

IS - 6

ER -

ID: 28497066