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Polynomial Event Semantics: Negation

Negation

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Abstract

Polynomial event semantics is an interpretation of Neo-Davidsonian semantics in which the thorny event quantification problem does not even arise. Denotations are constructed strictly compositionally, from lexical entries up, and quantifiers are analyzed in situ. All advantages of event semantics, in particular, regarding entailment, are preserved. The previous work has dealt only with positive polarity phrases involving universal, existential and counting quantification.

We now extend the polynomial event semantics to sentences with negation and negative quantification, including adverbial quantification, with attendant ambiguities. The analysis remains compositional, and does not require positing of non-existing entities or events.

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Notes

  1. 1.

    keeping in mind that Caesar was a senator.

  2. 2.

    We often drop the parentheses in \(\mathcal {P}(\mathinner {\mathop {\mathsf {subj'}/\mathsf {brutus}}})\), etc. if no confusion results.

  3. 3.

    https://languagelog.ldc.upenn.edu/nll/?cat=273.

  4. 4.

    To witness universal quantification, [5] introduces a so-called group of events. A factor is then a set of groups. We do not deal with the universal or counting quantification in this paper, and so elide groups, and the related operation \(\otimes \) for clarity.

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Acknowledgments

I am grateful to anonymous reviewers for very helpful comments and suggestions. I thank Daisuke Bekki for insightful and stimulating questions. This work was partially supported by a JSPS KAKENHI Grant Number 17K00091.

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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. Tokyo Institute of Technology, Tokyo, Japan

    Naoaki Okazaki

  2. Kansai Uversity, Osaka, Japan

    Katsutoshi Yada

  3. National Institute of Informatics, Tokyo, Japan

    Ken Satoh

  4. Keio University, Tokyo, Japan

    Koji Mineshima

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Kiselyov, O. (2021). Polynomial Event Semantics: Negation. In: Okazaki, N., Yada, K., Satoh, K., Mineshima, K. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2020. Lecture Notes in Computer Science(), vol 12758. Springer, Cham. https://doi.org/10.1007/978-3-030-79942-7_6

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  • DOI: https://doi.org/10.1007/978-3-030-79942-7_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-79941-0

  • Online ISBN: 978-3-030-79942-7

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