Talk by Matt Watson

A Critique of a Proof-Theoretic Treatment of Anaphora

In this paper, I will critically examine one recent proposal (Ranta 1991) to treat, within a proof-theoretic framework, the semantics of anaphora in English. I will argue that this theory wrongly predicts, for example, that the pronoun 'it' and the noun phrase 'a pen' can be anaphorically linked in the following sentence: Both discourse representation theory (DRT) and dynamic predicate logic predict that this link cannot be made. Since the new proof-theoretic approach disagrees with these 'venerable' model-theretic approaches in the analysis of sentences such as this, much of my argument will center on them. But I will also look at sentences involving anaphora where the proof-theoretic approach and the approach of 'classical' DRT agree, but where both approaches get the wrong results. I will suggest ways in which the proof-theoretic approach can be modified to deal with these sentences, following some suggestions in the DRT literature. Finally, I will give an assessment of the overall prospects for this approach.

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Paul Dekker, November 2, 1995