A proof-theoretic approach to scope ambiguity in compositional vector space models

We investigate the extent to which compositional vector space models can be used to account for scope ambiguity in quantified sentences (of the form Every man loves some woman). Such sentences containing two quantifiers introduce two readings, a direct scope reading and an inverse scope reading. Thi...

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Main Author: Gijs Wijnholds
Format: Article
Language:English
Published: Institute of Computer Science, Polish Academy of Sciences 2019-03-01
Series:Journal of Language Modelling
Subjects:
Online Access:https://jlm.ipipan.waw.pl/index.php/JLM/article/view/232
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author Gijs Wijnholds
author_facet Gijs Wijnholds
author_sort Gijs Wijnholds
collection DOAJ
description We investigate the extent to which compositional vector space models can be used to account for scope ambiguity in quantified sentences (of the form Every man loves some woman). Such sentences containing two quantifiers introduce two readings, a direct scope reading and an inverse scope reading. This ambiguity has been treated in a vector space model using bialgebras by Hedges and Sadrzadeh (2016) and Sadrzadeh (2016), though without an explanation of the mechanism by which the ambiguity arises. We combine a polarised focussed sequent calculus for the non-associative Lambek calculus NL, as described in Moortgat and Moot (2011), with the vector-based approach to quantifier scope ambiguity. In particular, we establish a procedure for obtaining a vector space model for quantifier scope ambiguity in a derivational way.
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spelling doaj.art-e77a68eca06742fe97325b499ab60e0a2022-12-22T01:39:48ZengInstitute of Computer Science, Polish Academy of SciencesJournal of Language Modelling2299-856X2299-84702019-03-0162261–286261–28610.15398/jlm.v6i2.232173A proof-theoretic approach to scope ambiguity in compositional vector space modelsGijs Wijnholds0Queen Mary University of LondonWe investigate the extent to which compositional vector space models can be used to account for scope ambiguity in quantified sentences (of the form Every man loves some woman). Such sentences containing two quantifiers introduce two readings, a direct scope reading and an inverse scope reading. This ambiguity has been treated in a vector space model using bialgebras by Hedges and Sadrzadeh (2016) and Sadrzadeh (2016), though without an explanation of the mechanism by which the ambiguity arises. We combine a polarised focussed sequent calculus for the non-associative Lambek calculus NL, as described in Moortgat and Moot (2011), with the vector-based approach to quantifier scope ambiguity. In particular, we establish a procedure for obtaining a vector space model for quantifier scope ambiguity in a derivational way.https://jlm.ipipan.waw.pl/index.php/JLM/article/view/232proof theoryscope ambiguitycompositional vector space modelsbialgebra
spellingShingle Gijs Wijnholds
A proof-theoretic approach to scope ambiguity in compositional vector space models
Journal of Language Modelling
proof theory
scope ambiguity
compositional vector space models
bialgebra
title A proof-theoretic approach to scope ambiguity in compositional vector space models
title_full A proof-theoretic approach to scope ambiguity in compositional vector space models
title_fullStr A proof-theoretic approach to scope ambiguity in compositional vector space models
title_full_unstemmed A proof-theoretic approach to scope ambiguity in compositional vector space models
title_short A proof-theoretic approach to scope ambiguity in compositional vector space models
title_sort proof theoretic approach to scope ambiguity in compositional vector space models
topic proof theory
scope ambiguity
compositional vector space models
bialgebra
url https://jlm.ipipan.waw.pl/index.php/JLM/article/view/232
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