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Polynomial Event Semantics

Non-Montagovian Proper Treatment of Quantifiers

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New Frontiers in Artificial Intelligence (JSAI-isAI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11717))

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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.

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Acknowledgments

I am grateful to anonymous reviewers for very helpful comments and the pointers to related work. I thank Yu Izumi for an inspiring conversation.

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Authors and Affiliations

  1. Tohoku University, Sendai, Japan

    Oleg Kiselyov

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  1. Oleg Kiselyov
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Correspondence to Oleg Kiselyov .

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Editors and Affiliations

  1. National Institute of Advanced Industrial Science and Technology, Ibaraki, Japan

    Kazuhiro Kojima

  2. University of Electro-Communications, Tokyo, Japan

    Maki Sakamoto

  3. Ochanomizu University, Tokyo, Japan

    Koji Mineshima

  4. National Institute of Informatics, Tokyo, Japan

    Ken Satoh

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Kiselyov, O. (2019). Polynomial Event Semantics. In: Kojima, K., Sakamoto, M., Mineshima, K., Satoh, K. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2018. Lecture Notes in Computer Science(), vol 11717. Springer, Cham. https://doi.org/10.1007/978-3-030-31605-1_23

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  • DOI: https://doi.org/10.1007/978-3-030-31605-1_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31604-4

  • Online ISBN: 978-3-030-31605-1

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