@inproceedings { IIIA-2008-1695, title = {Rational completeness results for prominent fuzzy logics with truth-constants}, booktitle = {XIV Congreso Espa\~nol sobre Tecnolog\'{\i}as y L\'ogica fuzzy (ESTYLF'08)}, year = {2008}, month = {17/09/2008}, pages = {133-139}, address = {Cuencas Mineras (Mieres - Langreo)}, abstract = {In this paper we consider expansions of Lukasiewiz, Product, Godel and Nilpotent Minimum logics with truth-constants for an algebra of rational truth-values. We study the semantics for these logics given by chains defined over the rational unit interval and the completeness properties they provide, with a special attention to the completeness with respect to the canonical chain (i.e. the algebra where each truth-constant is interpreted in its corresponding truth-value).}, author = {Francesc Esteva and Llu\'{\i}s Godo and Carles Noguera} }