… structures for substructural logics, and some recent … logics are logics of residuated structures,
and in this way explain why sequent systems are suitable for formalizing substructural logics…

… basic implication is a residual of the product. The resulting logic is called residuated basic
logic ( … Algebras for RBL are defined as bounded distributive lattices with residuation pairs ( • , …

… The language of basic propositional logic is extended by adding the binary operator · and
its … Then we introduce the residuated basic logic (RBL) which is the logic of residuated basic …

… structures for substructural logics, and some recent … logics are logics of residuated structures,
and in this way explain why sequent systems are suitable for formalizing substructural logics…

… of Possibilistic Logic Programming into Residuated Logic … Logic Programs carry over
immediately to Residuated ones. … Possibilistic Logic Programming into Residuated Logic …

… structures — encompassing the study of substructural logics and varieties of residuated …
work on residuated frames that aims to define relational semantics for substructural logics. Such …

… of adding a residuated monoid operation to lattices. The resulting residuated lattices have
… favor \ since it is more closely related to applications in logic. However, any statement about …

… Since substitutions can also be represented by equations, we describe the unification
algorithm for residuating logic programs in the style of Martelli and Montanari [22] by a set of …

… In this paper we investigate the residuated fuzzy logics … the main results about the residuated
fuzzy logics BL and BL∆ … extension of the basic logic BL accounting for those logics in which …

… We will now focus on the connection between logics without contraction and residuated
lattices. The connection will turn out to be so tight, that we will be able to give up the logical side …