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An Account of Natural Language Coordination in Type Theory with Coercive Subtyping

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Constraint Solving and Language Processing (CSLP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8114))

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Abstract

We discuss the semantics of NL coordination in modern type theories (MTTs) with coercive subtyping. The issue of conjoinable types is handled by means of a type universe of linguistic types. We discuss quantifier coordination, arguing that they should be allowed in principle and that the semantic infelicity of some cases of quantifier coordination is due to the incompatible semantics of the relevant quantifiers. Non-Boolean collective readings of conjunction are also discussed and, in particular, treated as involving the vectors of type Vec(A,n), an inductive family of types in an MTT. Lastly, the interaction between coordination and copredication is briefly discussed, showing that the proposed account of coordination and that of copredication by means of dot-types combine consistently as expected.

This work is supported by the research grant F/07-537/AJ of the Leverhulme Trust in the U.K.

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Chatzikyriakidis, S., Luo, Z. (2013). An Account of Natural Language Coordination in Type Theory with Coercive Subtyping. In: Duchier, D., Parmentier, Y. (eds) Constraint Solving and Language Processing. CSLP 2012. Lecture Notes in Computer Science, vol 8114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41578-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-41578-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41577-7

  • Online ISBN: 978-3-642-41578-4

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