Discrete duality for tense Łukasiewicz-Moisil algebras (Q2805408)
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scientific article; zbMATH DE number 6579322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete duality for tense Łukasiewicz-Moisil algebras |
scientific article; zbMATH DE number 6579322 |
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11 May 2016
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\(n\)-valued Łukasiewicz algebra
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tense Łukasiewicz algebra
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tense operator
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discrete duality
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0.91033196
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0.8949951
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0.89037323
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0.88738286
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Discrete duality for tense Łukasiewicz-Moisil algebras (English)
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Tense \(n\)-valued Łukasiewicz-Moisil algebras were introduced by \textit{D. Diaconescu} and \textit{G. Georgescu} [Fundam. Inform. 81, No. 4, 379--408 (2007; Zbl 1136.03045)] as algebraic counterpart of tense \(n\)-valued Łukasiewicz-Moisil logic. They are obtained from \(n\)-valued Łukasiewicz-Moisil algebras adding some tense operators. In this paper, the authors describe a discrete duality for tense Łukasiewicz-Moisil algebras and they generalize the results proved by \textit{W. Dzik} et al. [Lect. Notes Comput. Sci. 4136, 162--176 (2006; Zbl 1135.06003); Lect. Notes Comput. Sci. 4342, 245--266 (2006; Zbl 1177.06006)] for the case of De Morgan algebras.
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