Non-canonical Coordination in the Transformational Approach

  • Oleg Kiselyov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10247)


Recently introduced Transformational Semantics (TS) formalizes, restraints and makes rigorous the transformational approach epitomized by QR and Transformational Grammars: deriving a meaning (in the form of a logical formula or a logical form) by a series of transformations from a suitably abstract (tecto-) form of a sentence. TS generalizes various ‘monad’ or ‘continuation-based’ computational approaches, abstracting away irrelevant details (such as monads, etc.) while overcoming their rigidity and brittleness. Unlike QR, each transformation in TS is rigorously and precisely defined, typed, and deterministic. The restraints of TS and the sparsity of the choice points (in the order of applying the deterministic transformation steps) make it easier to derive negative predictions and control over-generation.

We apply TS to right-node raising (RNR), gapping and other instances of non-constituent coordination. Our analyses straightforwardly represent the intuition that coordinated phrases must in some sense be ‘parallel’, with a matching structure. Coordinated material is not necessarily constituent – even ‘below the surface’ – and we do not pretend it is. We answer the Kubota, Levine and Moot challenge (the KLM problem) of analyzing RNR and gapping without directional types, yet avoiding massive over-generation. We thus formalize the old idea of ‘coordination reduction’ and show how to make it work for generalized quantifiers.



I am very grateful to Leo Tingchen Hsu for numerous perceptive and stimulating discussions. I thank an anonymous reviewer for many very insightful and helpful comments. Numerous discussions with Yusuke Kubota, Bob Levine, Alastair Butler, Greg Kobele and the participants of the workshop “New Landscapes in Theoretical Computational Linguistics” (Ohio State University, October 14–16, 2016) are gratefully acknowledged.


  1. 1.
    Butler, A.: Linguistic Expressions and Semantic Processing - A Practical Approach. Springer, Cham (2015)CrossRefzbMATHGoogle Scholar
  2. 2.
    Chomsky, N.: Aspects of a Theory of Syntax. MIT Press, Cambridge (1965)Google Scholar
  3. 3.
    Chomsky, N.: Lectures on Government and Binding. Foris, Dordrecht (1981)Google Scholar
  4. 4.
    Chomsky, N.: The Minimalist Program. The MIT Press, Cambridge (1995)zbMATHGoogle Scholar
  5. 5.
    Kanazawa, M.: Syntactic features for regular constraints and an approximation of directional slashes in abstract categorial grammars. In: Kubota and Levine [11], pp. 34–70Google Scholar
  6. 6.
    Kiselyov, O.: Canonical constituents and non-canonical coordination. In: Murata, T., Mineshima, K., Bekki, D. (eds.) JSAI-isAI 2014. LNCS, vol. 9067, pp. 99–113. Springer, Heidelberg (2015). doi: 10.1007/978-3-662-48119-6_8 CrossRefGoogle Scholar
  7. 7.
    Kiselyov, O.: Applicative abstract categorial grammars in full swing. In: Proceedings of LENLS 12, November 2015.
  8. 8.
    Kubota, Y., Levine, R.: Gapping as like-category coordination. In: Béchet, D., Dikovsky, A. (eds.) LACL 2012. LNCS, vol. 7351, pp. 135–150. Springer, Heidelberg (2012). doi: 10.1007/978-3-642-31262-5_9 CrossRefGoogle Scholar
  9. 9.
    Kubota, Y., Levine, R.: Gapping as hypothetical reasoning. In: Natural Language and Linguistic Theory (2014, to appear).
  10. 10.
    Kubota, Y., Levine, R.: Against ellipsis: arguments for the direct licensing of ‘non-canonical’ coordinations. Linguist. Philos. 38(6), 521–576 (2015)CrossRefGoogle Scholar
  11. 11.
    Kubota, Y., Levine, R. (eds.): Proceedings for ESSLLI 2015 Workshop ‘Empirical Advances in Categorial Grammar’. University of Tsukuba and Ohio State University (2015)Google Scholar
  12. 12.
    Morrill, G., Valentín, O., Fadda, M.: The displacement calculus. J. Logic Lang. Inform. 20(1), 1–48 (2011)MathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    Pollard, C., Worth, C.: Coordination in linear categorial grammar with phenogrammatical subtyping. In: Kubota and Levine [11], pp. 162–182Google Scholar
  14. 14.
    Sag, I.A., Gazdar, G., Wasow, T., Weisler, S.: Coordination and how to distinguish categories. Nat. Lang. Linguist. Theory 3(2), 117–171 (1985)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Tohoku UniversitySendaiJapan

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