A Type-Theoretic Approach to Anaphora and Ellipsis Resolution

Abstract
We present an approach to anaphora and ellipsis resolution in which pronouns and elided structures are interpreted by the dynamic identification in discourse of type constraints on their semantic representations. The content of these conditions is recovered in context from an antecedent expression. The constraints define separation types in Property Theory with Curry Typing, an expressive first-order logic with Curry typing that we have proposed as a formal framework for natural language semantics
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Chris Fox & Shalom Lappin (2004). An Expressive First-Order Logic with Flexible Typing for Natural Language Semantics. Logic Journal of the Interest Group in Pure and Applied Logics 12 (2):135--168.
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