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  1. Underspecified Interpretations in a Curry-Typed Representation Language.Chris Fox & Shalom Lappin - 2005 - Journal of Logic and Computation 15 (2):131--143.
    In previous work we have developed Property Theory with Curry Typing (PTCT), an intensional first-order logic for natural language semantics. PTCT permits fine-grained specifications of meaning. It also supports polymorphic types and separation types. We develop an intensional number theory within PTCT in order to represent proportional generalized quantifiers like "most", and we suggest a dynamic type-theoretic approach to anaphora and ellipsis resolution. Here we extend the type system to include product types, and use these to define a permutation function (...)
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