RELEVANCE LOGIC AND THE CALCULUS OF RELATIONS
Roger D. Maddux · The Review of Symbolic Logic · 2010
Sound and complete semantics for classical propositional logic can be obtained by interpreting sentences as sets. Replacing sets with commuting dense binary relations produces an interpretation that turns out to be sound but not complete for R. Adding transitivity yields sound and complete semantics for RM, because all normal Sugihara matrices are representable as algebras of binary relations.