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A classification of BL-algebras - MaRDI portal

A classification of BL-algebras (Q1867635)

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scientific article; zbMATH DE number 1891645
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English
A classification of BL-algebras
scientific article; zbMATH DE number 1891645

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    A classification of BL-algebras (English)
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    2 April 2003
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    The authors define ``basic forms'', a suitable class of ordered Abelian semigroups, and prove that any BL-chain has a tower of basic forms naturally associated, which, in turn, yields a BL-chain. Using this representation, the authors classify finite and finitely universal BL-chains, from which they deduce, among others, the decidability of the set of BL-tautologies.
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    ordered Abelian semigroups
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    BL-chain
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    tower of basic forms
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    decidability
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