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Provability in predicate product logic - MaRDI portal

Provability in predicate product logic (Q884950)

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scientific article; zbMATH DE number 5162353
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Provability in predicate product logic
scientific article; zbMATH DE number 5162353

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    Provability in predicate product logic (English)
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    7 June 2007
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    The paper extends the theory of BL-logics introduced by \textit{P. Hájek} in 1998, exploiting the connection of the cancellative conjunctions on BL-algebras with ordered abelian groups. Then a sentence is provable if and only if it is a tautology (completeness). Moreover, closed models and the lexicographic sums are discussed and the completeness of BL-chains which are initially dense (or which are not initially dense) is studied.
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    BL-logic
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    predicate product logic
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    provability
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