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Similarity convergence in residuated structures. (English) Zbl 1082.03058

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.

MSC:

03G25 Other algebras related to logic
06F05 Ordered semigroups and monoids
06F30 Ordered topological structures
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