Resolving Modal Anaphora in Dependent Type Semantics
Abstract
This paper presents an analysis of modal subordination in the framework of Dependent Type Semantics, a framework of natural language semantics based on dependent type theory. Dependent types provide powerful type structures that have been applied to various discourse phenomena in natural language, yet there has been little attempt to produce an account of modality and its interaction with anaphora from the perspective of dependent type theory. We extend the framework of Dependent Type Semantics with a mechanism of handling explicit quantification over possible worlds, and show how modal anaphora and subordination can be handled within this framework.
Notes
Acknowledgments
This paper is a revised and expanded version of [18]. We thank the two reviewers of LENLS11 for helpful comments and suggestions on an earlier version of this paper. I also thank the audiences at LENLS11, in particular, Chris Barker and Matthew Stone, for helpful comments and discussion. Special thanks to Nicholas Asher, who gave constructive comments and advice, and to Antoine Venant, Fabio Del Prete, and Márta Abrusán for their feedback and discussions. This research was supported by JST, CREST.
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