Algebraic semantics for the minimum many-valued modal logic over Łn
Fuzzy Sets Syst.(2022)
摘要
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.
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关键词
Many-valued modal logics,Complex algebras,MV-algebras
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