We use the idea that actions performed in a conversation become part o
f the common ground as the basis for a model of context that reconcile
s in a general and systematic fashion the differences between the theo
ries of discourse context used for reference resolution, intention rec
ognition, and dialogue management. We start from the treatment of anap
horic accessibility developed in discourse representation theory (DRT)
, and we show first how to obtain a discourse model that, while preser
ving DRT's basic ideas about referential accessibility, includes infor
mation about the occurrence of speech acts and their relations. Next,
we show how the different kinds of 'structure' that play a role in con
versation-discourse segmentation, turn-taking, and grounding-can be fo
rmulated in terms of information about speech acts, and use this same
information as the basis for a model of the interpretation of fragment
ary input.