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Standard completeness of Hájek basic logic and decompositions of BL-chains. (English) Zbl 1094.03013
Summary: The aim of this paper is to survey the tools needed to prove the standard completeness of Hájek Basic Logic with respect to continuous t-norms. In particular, decompositions of totally ordered BL-algebras into simpler components are considered in some detail.

MSC:
03B52 Fuzzy logic; logic of vagueness
03G25 Other algebras related to logic
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