A longstanding area of research in my lab involves characterizing the complementary roles of the cerebral hemispheres in language comprehension by investigating memory function using both normal, computational, and brain-damaged subject populations. With respect to lexical/semantic processing, we have gathered considerable evidence that the two hemispheres differ in the rate of meaning activation, but do not differ much at a representational level. This research began with the often cited Burgess and Simpson (1988) paper in Brain and Language. Our goal is to fit these findings in the context of our basic psycholinguistic understandings of how we understand ongoing discourse. At the word recognition level, we have developed a computational implementation of cerebral asymmetries that makes use of our Hyperspace Analogue to Language model.