Georgescu, George; Popescu, Andrei Similarity convergence in residuated structures. (English) Zbl 1082.03058 Log. J. IGPL 13, No. 4, 389-413 (2005). Summary: We introduce and study a notion of logical convergence in residuated lattices (with operators). We consider a convergence in similarity degree, rather than a bare order convergence – the lack of symmetry of residuated lattices brings our approach closer to the logical structure than to the set of truth values. Cited in 6 Documents MSC: 03G25 Other algebras related to logic 06F05 Ordered semigroups and monoids 06F30 Ordered topological structures Keywords:logical convergence; residuated lattices; similarity convergence; Cauchy completion; Łukasiewicz-Moisil algebra; relation algebra PDF BibTeX XML Cite \textit{G. Georgescu} and \textit{A. Popescu}, Log. J. IGPL 13, No. 4, 389--413 (2005; Zbl 1082.03058) Full Text: DOI OpenURL