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

Busaniche Manuela; Cordero Penelope; Oscar Rodriguez Ricardo

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

机译：Algebraic semantics for the minimum many-valued modal logic over L_n

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摘要

For each n is an element of 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. (C) 2021 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2022年第15期|94-109|共16页
作者
Busaniche Manuela; Cordero Penelope; Oscar Rodriguez Ricardo;
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作者单位

UNL CONICET, Dept Matemat, Fac Ingn Quim, Santa Fe, Argentina;

Consejo Nacl Invest Cient & Tecn, NUCOMPA, UNICEN, FCE, Tandil, Argentina;

UBA CONICET, Inst Invest Cs Comp, Dept Comp, UBA,FCEyN, Buenos Aires, DF, Argentina;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类
关键词
Many-valued modal logics; Complex algebras; MV-algebras;

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

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