M. Hepple. 1995. Hybrid Categorial Logics. Bulletin of the Interest Group in Pure and Applied Logics (Bulletin of IGPL). Vol 3, Num 2.3. (ed) R. Kempson. pp 343-355.

Abstract:

Recent work within Categorial Grammar has seen the development of a number of multimodal systems, where different families of connectives coexist within a single categorial logic. Such systems can be viewed as making available differing modes of linguistic description within a single grammatical formalism. This paper addresses proposals for constructing multimodal systems due to Hepple (1993) and Moortgat & Oehrle (1993), which are in many ways similar, but which make apparently contradictory claims concerning the appropriate interrelation of different modes of description, which lead in turn to differences for the kind of linguistic accounts that the two approaches make possible. Although we focus mostly on the view taken in Hepple (1993), and its inspiration by earlier work involving structural modalities, the paper proceeds to a discussion of whether the two approaches are genuinely incompatible in the way that they at first appear.