Modal operators for meet-complemented lattices

Castiglioni, José Luis et al · Oxford University Press · 2017

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Author / responsible party

Castiglioni, José Luis et al

Publisher

Oxford University Press

Year

2017

ISSN

1367-0751

ISSN

1367-0751

Language

English

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Weinvestigate some modal operators of necessity and possibility that form an adjoint pair in the context of meet-complemented lattices. We prove that they form an equational class and we study the modalities, i.e. the finite sequences of unary operators. We proceed in stages, first considering the not necessarily distributive case and also considering the case with the algebraic version of the 4 axiom in modal logic. We compare our operators with other operators in the literature, to wit, the maximum Boolean below and operations defined using the dual of the meet-complement. Fil: Castiglioni, José Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Cidade Universitária; Brasil Fil: Ertola Biraben, Rodolfo Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Cidade Universitária; Brasil

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APA 7

Castiglioni, J. L. E. A. (2017). Modal operators for meet-complemented lattices. http://hdl.handle.net/11336/49715

MLA

Castiglioni, José Luis et al. "Modal operators for meet-complemented lattices." 2017. http://hdl.handle.net/11336/49715.

Chicago

Castiglioni, José Luis et al. 2017. "Modal operators for meet-complemented lattices.". http://hdl.handle.net/11336/49715.

Harvard

Castiglioni, J. L. E. A. 2017, Modal operators for meet-complemented lattices, Oxford University Press, available at: http://hdl.handle.net/11336/49715 [Accessed 5 Aug. 2026].

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Title: Modal operators for meet-complemented lattices

Author / contributors: Castiglioni, José Luis et al

Publisher: Oxford University Press

Publication year: 2017

ISSN: 1367-0751

ISSN: 1367-0751

Language: English

Subjects

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Meet-Complemented Lattices; Modal Operators; Necessity; Non-Distributive Lattices; Possibility; Univocally Defined Operations; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1