A type-theoretic approach to anaphora and ellipsis resolution

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 (sub-types) in Property Theory with Curry Typing (PTCT), an expressive first-order logic with Curry typing that we have proposed as a formal framework for natural language semantics.1