 A Routley-Meyer interpretation (see Routley &amp; Routley 1972; Routley &amp; Meyer 1973, 1976; Routley 1979) for relevant (propositional) logics is a structure \(\langle W, N, R, {}^*, v\rangle\), where \(W\) is a set of worlds; \(N\) is a proper subset of \(W\) including the normal or possible worlds (the remaining worlds are the non-normal or impossible worlds); \(R\) is a ternary accessibility relation between worlds, and \({}^*\) (the Routley star) is a function from worlds to worlds. \({}^*\) and \(R\) figure prominently in the truth conditions for negation and the (relevant) conditional. Their task is precisely to provide a semantics for negation that allows for the truth of \(A\) and \(\neg A\) at some worlds, and a semantics for the conditional that frees it from the fallacies of relevance.