Polynomial Event Semantics: Non-Montagovian Proper Treatment of Quantifiers

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose a simple extension of event semantics that naturally supports the compositional treatment of quantification. Our analyses require neither quantifier raising or other syntactic movements, nor type-lifting. Denotations are computed strictly compositionally, from lexical entries up, and quantifiers are analyzed in situ. We account for the universal, existential and counting quantification and the related distributive coordination, with the attendant quantifier ambiguity phenomena. The underlying machinery is not of lambda-calculus but of much simpler relational algebra, with straightforward set-theoretic interpretation. The source of quantifier ambiguity in our approach lies in two possible analyses for the existential (and counting) quantification. Their inherent ambiguity however becomes apparent only in the presence of another, non-existential quantification.

Original languageEnglish
Title of host publicationNew Frontiers in Artificial Intelligence - JSAI-isAI 2018 Workshops, JURISIN, AI-Biz, SKL, LENLS, IDAA, Revised Selected Papers
EditorsKazuhiro Kojima, Maki Sakamoto, Koji Mineshima, Ken Satoh
PublisherSpringer
Pages313-324
Number of pages12
ISBN (Print)9783030316044
DOIs
Publication statusPublished - 2019
Event10th International Symposium of Artificial Intelligence supported by the Japanese Society for Artificial Intelligence, JSAI-isAI 2018 - Yokohama, Japan
Duration: 2018 Nov 122018 Nov 14

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11717 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th International Symposium of Artificial Intelligence supported by the Japanese Society for Artificial Intelligence, JSAI-isAI 2018
CountryJapan
CityYokohama
Period18/11/1218/11/14

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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