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Dependent Types for Pragmatics

  • Darryl McAdamsEmail author
  • Jonathan Sterling
Chapter
Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 38)

Abstract

In this paper, we present an extension to Martin-Löf’s Intuitionistic Type Theory which gives natural solutions to problems in pragmatics, such as pronominal reference and presupposition. Our approach also gives a simple account of donkey anaphora without resorting to exotic scope extension of the sort used in Discourse Representation Theory and Dynamic Semantics, thanks to the proof-relevant nature of type theory.

Keywords

Semantics Pragmatics Pronouns Presuppositions Type theory Dependent types Intuitionism 

Notes

Acknowledgements

The second author thanks Mark Bickford, Bob Harper and Bob Constable for illuminating discussions on choice sequences, Church’s Thesis, and computational open-endedness. We thank our reviewers for their constructive feedback and references to related work.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Wilton ManorsUSA
  2. 2.SlamData, Inc.BoulderUSA

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