 The ternary relation semantics can be adapted to be a semantics for a wide range of logics. Placing different constraints on the relation makes valid different formulae and inferences. For example, if we constrain the relation so that \(Raaa\) holds for all worlds \(a\), then we make it true that if \((A \rightarrow B) \amp A\) is true at a world, then \(B\) is also true there. Given other features of the Routley-Meyer semantics, this makes the thesis \(((A \rightarrow B) \amp A) \rightarrow B\) valid. If we make the ternary relation symmetrical in its first two places, that is, we constrain it so that, for all worlds \(a, b\), and \(c\), if \(Rabc\) then \(Rbac\), then we make valid the thesis \(A \rightarrow ((A \rightarrow B) \rightarrow B)\).