Notre Dame Journal of Formal Logic 52 (4):339-379 (2011)

Abstract
This work presents a model-theoretic approach to the study of first-order theories of classes of BL-chains. Among other facts, we present several classes of BL-algebras, generating the whole variety of BL-algebras, whose first-order theory has quantifier elimination. Model-completeness and decision problems are also investigated. Then we investigate classes of BL-algebras having (or not having) the amalgamation property or the joint embedding property and we relate the above properties to the existence of ultrahomogeneous models
Keywords BL-algebras   quantifier elimination   model-completeness   amalgamation property
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Reprint years 2011
DOI 10.1215/00294527-1499336
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References found in this work BETA

Algebraizable Logics.W. J. Blok & Don Pigozzi - 1989 - Advanced Reasoning Forum.
On Theories and Models in Fuzzy Predicate Logics.Petr Hájek & Petr Cintula - 2006 - Journal of Symbolic Logic 71 (3):863 - 880.
A Complete Many-Valued Logic with Product-Conjunction.Petr Hájek, Lluis Godo & Francesc Esteva - 1996 - Archive for Mathematical Logic 35 (3):191-208.

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