On the notion of uniqueness

In the paper it is argued that for some linguistic phenomena, current discourse representation structures are insufficiently finegrained, both from the perspective of serving as representation in NLP and from a truth conditional perspective. One such semantic phenomenon is uniqueness. It is demonstrated that certain elements are forced to have a unique interpretation, from a certain point in discourse onwards. This could be viewed as the semantic counterpart of surface order. Although it has always been acknowledged that the left-toright order of constituents influences the meaning of an utterance, it is, for example, not reflected in standard Discourse Representation Theory ([Kamp, 1981]). In the paper, an alternative representation for unique constituents will be proposed, resulting in asymmetry of certain conjoined conditions in a DRS-representation.