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.
Tommaso, C., Enrico, M., Montagna, F. (2011). Quantifier elimination and other model-theoretic properties of BL-algebras. NOTRE DAME JOURNAL OF FORMAL LOGIC, 52(4), 339-379 [10.1215/00294527-1499336].
Quantifier elimination and other model-theoretic properties of BL-algebras
MONTAGNA, FRANCO
2011-01-01
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.
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https://hdl.handle.net/11365/36824
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