A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual operations \, /, it admits finitely many basic oper...
We study Nonassociative Lambek Calculus with additives ∧, ∨, satisfying the distributive law (Distributive Full Nonassociative Lambek Calculus DFNL). We prove that categorial g...
Gentzen systems are introduced for Spinks and Veroff's substructural logic corresponding to constructive logic with strong negation, and some logics in its vicinity. It has b...