 Rescher and Brandom’s approach falls in the nonadjunctive tradition (see Berto 2007, Chapter 6) of  paraconsistent logics:  a tradition started by Jaskowksi’s discussive logic \(\mathbf{D}_2\) (also labeled as \(\mathbf{J}\) in the literature), and based on the idea of rejecting or limiting the Adjunction principle. Such an approach has been revived in works by Hyde (1997), and Varzi (1997 and 2004).