A Semantic Model for Interrogatives Based on Generalized Quantifiers and Bilattices

  • Ka-Fat Chow
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8196)


In this paper, I will develop a semantic model for interrogatives, an important sentence type expressing a special aspect of uncertainty. The model is based on the notions of generalized quantifiers and bilattices, and is used to model several aspects of interrogative semantics, including resolvedness conditions, answerhood, exhaustivity and interrogative inferences. It will be shown that the semantic model satisfies a number of adequacy criteria.


Semantic Model Generalize Quantifier Semantic Denotation Adequacy Criterion Polar Interrogative 
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  1. 1.
    Arieli, O., Avron, A.: Reasoning with Logical Bilattices. Journal of Logic, Language and Information 5(1), 25–63 (1996)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Belnap Jr., N.D., Steel Jr., T.B.: The Logic of Questions and Answers. Yale University Press, New Haven (1976)zbMATHGoogle Scholar
  3. 3.
    Beck, S., Rullmann, H.: A Flexible Approach to Exhaustivity in Questions. Natural Language Semantics 7, 249–298 (1999)CrossRefGoogle Scholar
  4. 4.
    Ginzburg, J.: Resolving Questions I and II. Linguistics and Philosophy 18, 459–527, 567–609 (1995)Google Scholar
  5. 5.
    Groenendijk, J., Stokhof, M.: Type-shifting rules and the semantics of interrogatives. In: Portner, P., Partee, B.H. (eds.) Formal Semantics: the Essential Readings, pp. 421–456. Blackwell, Oxford (1989)Google Scholar
  6. 6.
    Groenendijk, J., Stokhof, M.: Questions. In: van Benthem, J., ter Meulen, A. (eds.) Handbook of Logic and Language, 2nd edn., pp. 1059–1132. Elsevier Science, Amsterdam (2011)CrossRefGoogle Scholar
  7. 7.
    Gutierrez-Rexach, J.: Questions and Generalized Quantifiers. In: Szabolcsi, A. (ed.) Ways of Scope Taking, pp. 409–452. Kluwer Academic Publishers, Dordrecht (1997)CrossRefGoogle Scholar
  8. 8.
    Gutierrez-Rexach, J.: Interrogatives and Polyadic Quantification. In: Scott, N. (ed.) Proceedings of the International Conference on Questions, pp. 1–14. University of Liverpool (1999)Google Scholar
  9. 9.
    Keenan, E.L.: Excursions in Natural Logic. In: Casadio, C., et al. (eds.) Language and Grammar: Studies in Mathematical Linguistics and Natural Language, pp. 31–52. CSLI, Stanford (2003)Google Scholar
  10. 10.
    Nelken, R., Francez, N.: The Algebraic Semantics of Interrogative NPs. Grammars 3, 259–273 (2000)CrossRefzbMATHGoogle Scholar
  11. 11.
    Nelken, R., Francez, N.: Bilattices and the Semantics of Natural Language Questions. Linguistics and Philosophy 25, 37–64 (2002)CrossRefGoogle Scholar
  12. 12.
    Peters, S., Westerståhl, D.: Quantifiers in Language and Logic. Clarendon Press, Oxford (2006)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Ka-Fat Chow
    • 1
  1. 1.The Hong Kong Polytechnic UniversityHong Kong

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