Quantifier Elimination and Other Model-Theoretic Properties of BL-Algebras

Notre Dame Journal of Formal Logic 52 (4):339-379 (2010)
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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DOI 10.1215/00294527-1499336
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