The completeness of the factor semantics for Łukasiewicz's infinite- valued logics (Q1208120)

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scientific article; zbMATH DE number 165917
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The completeness of the factor semantics for Łukasiewicz's infinite- valued logics
scientific article; zbMATH DE number 165917

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    The completeness of the factor semantics for Łukasiewicz's infinite- valued logics (English)
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    16 May 1993
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    This paper considers a factor set of countable \(T\)-\(F\)-sequences for which the number of occurrences of \(T\) or \(F\) is finite, as a model of the Łukasiewicz's infinite-valued logics. The completeness of this factor semantics is proven using Wajsberg algebras and symmetrical Heyting monoids.
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    factor set
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    Łukasiewicz's infinite-valued logics
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    completeness
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    factor semantics
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    Wajsberg algebras
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    symmetrical Heyting monoids
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