In this paper, we explain how two prominent categorial grammar frameworks, namely Combinatory Categorial Grammar (CCG, Steedman (2000)) and Categorial Type Logic (CTL, Morrill (1994); Moortgat (1997); Oehrle (to appear)), can be integrated to create a hybrid categorial framework, Multi-Modal Combinatory Categorial Grammar (Baldridge, 2002), that inherits the attractive properties of both.
multi-modal CCG retains the favorable computional aspects of CCG whilst incorporating the approach to resource-sensitivity taken in CTL.