Algebraic semantics for the minimum many-valued modal logic over Łn

Busaniche, Manuela et al · Elsevier · 2021

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Author / responsible party

Busaniche, Manuela et al

Publisher

Elsevier

Year

2021

ISSN

0165-0114

ISSN

0165-0114

Language

English

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For each n∈N, we introduce the algebraic semantics for the minimum many-valued modal logic over the MV-chain with n elements. We prove that this quasivariety of algebras is generated by the complex algebras, obtaining as a consequence the completeness result of the logic with respect to the Kripke semantics. As a first step towards the study of this algebraic semantics, we study some congruences of the complex algebras. Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química. Departamento de Matemáticas; Argentina Fil: Cordero González, Penélope. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo Consolidado de Matemática Pura y Aplicada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina

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APA 7

Busaniche, M. E. A. (2021). Algebraic semantics for the minimum many-valued modal logic over Łn. http://hdl.handle.net/11336/160502

MLA

Busaniche, Manuela et al. "Algebraic semantics for the minimum many-valued modal logic over Łn." 2021. http://hdl.handle.net/11336/160502.

Chicago

Busaniche, Manuela et al. 2021. "Algebraic semantics for the minimum many-valued modal logic over Łn.". http://hdl.handle.net/11336/160502.

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Busaniche, M. E. A. 2021, Algebraic semantics for the minimum many-valued modal logic over Łn, Elsevier, available at: http://hdl.handle.net/11336/160502 [Accessed 7 Aug. 2026].

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Title: Algebraic semantics for the minimum many-valued modal logic over Łn

Author / contributors: Busaniche, Manuela et al

Publisher: Elsevier

Publication year: 2021

ISSN: 0165-0114

ISSN: 0165-0114

Language: English

Subjects

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COMPLEX ALGEBRAS; MANY-VALUED MODAL LOGICS; MV-ALGEBRAS; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1