@article{0541282093e94386b92778bb6ab5554e,
title = "Optionality, scope, and licensing: An application of partially ordered categories",
abstract = "This paper uses a partially ordered set of syntactic categories to accommodate optionality and licensing in natural language syntax. A complex but well-studied data set pertaining to the syntax of quantifier scope and negative polarity licensing in Hungarian is used to illustrate the proposal. The presentation is geared towards both linguists and logicians. The paper highlights that the main ideas can be implemented in different grammar formalisms, and discusses in detail an implementation where the partial ordering on categories is given by the derivability relation of a calculus with residuated and Galois-connected unary operators.",
keywords = "Boolean connectives, Galois-connection, Licensing, Natural language syntax, Optionality, Partial order, Polarity items, Residuation, Scope, Typed feature structures",
author = "Raffaella Bernardi and Anna Szabolcsi",
note = "Funding Information: Acknowledgements We are grateful to Lucas Champollion, Chris Barker, and Carlos Areces for comments on an earlier version of this manuscript, to {\O}ystein Nilsen, Eytan Zweig, Michael Moortgat, Suresh Manandhar, Kit Fine, Julia Horvath, Mark Baltin, and Ed Stabler for extensive discussions about various parts of the project, and to three reviewers for very helpful comments pointing to related work. Part of this research was presented at the workshop on “Proof Theory at the Syntax/Semantics Interface” (LSA Linguistic Institute, MIT/Harvard, July 8–11, 2005, sponsored by NSF conference grant BCS-0444071 to the second author), at a seminar team-taught by Bernardi, Nilsen, and Szabolcsi at New York University in Spring 2005, and in a course co-taught by Barker and Szabolcsi at ESSLLI 2007. We thank the participants of each for their input. This project was partially sponsored by New York University{\textquoteright}s International Visitors Program in 2005.",
year = "2008",
month = jul,
doi = "10.1007/s10849-008-9060-y",
language = "English (US)",
volume = "17",
pages = "237--283",
journal = "Journal of Logic, Language and Information",
issn = "0925-8531",
publisher = "Springer Netherlands",
number = "3",
}