An Expressive First-Order Logic with Flexible Typing for Natural Language Semantics

Authors
Chris Fox
University of Essex
Abstract
We present 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.” We use the type system and our treatment of generalized quantifiers in natural language to construct a type-theoretic approach to pronominal anaphora that avoids some of the difficulties that undermine previous type-theoretic analyses of this phenomenon
Keywords semantics   natural language
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Reprint years 2004
DOI 10.1093/jigpal/12.2.135
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