Achieving expressive completeness and computational efficiency for underspecified scope representations

Abstract

In Fox and Lappin (2005a) we propose Property Theory with Curry Typing (PTCT) as a formal framework for the semantics of natural language. PTCT allows finegrained distinctions of meaning without recourse to modal notions like (im)possible worlds. It also supports a unified dynamic treatment of pronominal anaphora and VP ellipsis, as well as related phenomena such as gapping and pseudo-gapping.

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An Expressive First-Order Logic with Flexible Typing for Natural Language Semantics.Chris Fox & Shalom Lappin - 2004 - Logic Journal of the Interest Group in Pure and Applied Logics 12 (2):135--168.
Curry-Typed Semantics in Typed Predicate Logic.Chris Fox - 2014 - In Vit Puncochar (ed.), Logica Yearbook 2013. College Publications.

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