An incomplete relevant modal logic

The relevant modal logic G is a simple extension of the logic RT, the relev ant counterpart of the familiar classically based system T. Using the Routl ey-Meyer semantics for relevant modal logics, this paper proves three main results regarding G: (i) G is semantically complete, but only with a non-st andard interpretation of necessity. From this, however, other nice properti es follow. (ii) With a standard interpretation of necessity, G is semantica lly incomplete; there is no class of frames that characterizes G. (iii) The class of frames for G characterizes the classically based logic T.