Skip to main content

Event Semantics and Abstract Categorial Grammar

  • Conference paper
The Mathematics of Language (MOL 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6878))

Included in the following conference series:

Abstract

Common versions of event semantics do not naturally explain the obligatory narrow scope of existential quantification over events, or the typically event-oriented modification by adverbials. We argue that these linguistic properties reflect a distinction between overt arguments and purely semantic slots like the event argument. The distinction is naturally captured in Abstract Categorial Grammar (ACG) [1,2,3,4], which manipulates pairs of forms and meanings, a.k.a. linguistic signs. The sign’s pheno-type defines syntactic arguments and the sign’s semantic type standardly defines semantic arguments. Both these concrete types are standardly derived by induction on the structure of one abstract type (category) of the sign, by assigning pheno-level and semantic types to basic abstract types. We assume that semantic event arguments are only introduced by the (basic) result type of the verb’s abstract type, whose pheno-level type is standardly a string. Consequently semantic event arguments lack a correlate in the verb’s pheno-type. Both narrow-scope existential quantification over events and the orientation of event modifiers follow rigorously from this assumption. Based on this architecture, we develop simple accounts of adverbial modification, nominalization and passive constructions in an ACG fragment.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Curry, H.B.: Some logical aspects of grammatical structure. In: Jakobson, R.O. (ed.) Structure of Language and its Mathematical Aspects. Symposia on Applied Mathematics, vol. 12. American Mathematical Society, Providence (1961)

    Google Scholar 

  2. Dowty, D.R.: Toward a minimalist theory of syntactic structure. In: Bunt, H., van Horck, A. (eds.) Syntactic Discontinuity, pp. 11–62. Mouton de Gruyter, Berlin (1995)

    Google Scholar 

  3. de Groote, P.: Towards abstract categorial grammars. In: Proceedings of the 39th annual meeting of the Association for Computational Linguistics (ACL) (2001)

    Google Scholar 

  4. Muskens, R.: Language, Lambdas, and Logic. In: Kruijff, G.J., Oehrle, R. (eds.) Resource Sensitivity in Binding and Anaphora. Studies in Linguistics and Philosophy, pp. 23–54. Kluwer, Dordrecht (2003)

    Chapter  Google Scholar 

  5. Davidson, D.: The logical form of action sentences. In: Rescher, N. (ed.) The Logic of Decision and Action. University of Pittsburgh Press, Pittsburgh (1967); reprinted in Davidson, D.: Essays on Actions and Events. Clarendon Press, London (1980)

    Google Scholar 

  6. Parsons, T.: Events in the Semantics of English. MIT Press, Cambridge (1990)

    Google Scholar 

  7. Higginbotham, J.: The logic of perceptual reports: an extensional alternative to situation semantics. Journal of Philosophy 80, 100–127 (1983)

    MathSciNet  Google Scholar 

  8. Carlson, G.: Thematic roles and their role in semantic interpretation. Linguistics 22, 259–279 (1984)

    Article  Google Scholar 

  9. Bach, E.: The algebra of events. Linguistics and Philosophy 9, 5–16 (1986)

    Google Scholar 

  10. Schein, B.: Event Logic and the Interpretation of Plurals. PhD thesis, Massachusetts Institute of Technology (1986)

    Google Scholar 

  11. Dowty, D.: On the semantic content of the notion ‘thematic role’. In: Chierchia, G., Partee, B., Turner, R. (eds.) Properties, Types and Meanings, vol. 2. Kluwer, Dordrecht (1989)

    Google Scholar 

  12. Krifka, M.: Nominal reference, temporal constitution and quantification in event semantics. In: Bartsch, R., van Benthem, J., van Emde Boas, P. (eds.) Semantics and Contextual Expression. Foris, Dordrecht (1989)

    Google Scholar 

  13. Lasersohn, P.: Plurality, Conjunction and Events. Kluwer Academic Publishers, Dordrecht (1995)

    Book  Google Scholar 

  14. Rothstein, S.: Events and Grammar. Kluwer, Dordrecht (1998)

    Book  Google Scholar 

  15. Bayer, S.L.: Confessions of a Lapsed Neo-Davidsonian. Garland Publishing Inc., New York (1997)

    Google Scholar 

  16. Landman, F.: Events and Plurality: the Jerusalem lectures. Kluwer, Dordrecht (2000)

    Book  Google Scholar 

  17. Tenny, C., Pustejovsky, J. (eds.): Events as Grammatical Objects. The Converging Perspectives of Lexical Semantics and Syntax. CSLI Publications, Stanford (2000)

    Google Scholar 

  18. Montague, R.: English as a formal language. In: Visentini, B. (ed.) Linguaggi nella Società e nella Technica. Edizioni di Communità, Milan (1970); reprinted in Thomason, R. (ed.): Formal Philosophy: selected papers of Richard Montague. Yale, New Haven (1974)

    Google Scholar 

  19. Montague, R.: Universal grammar. Theoria 36, 373–398 (1970); reprinted in Thomason, R. (ed.): Formal Philosophy: selected papers of Richard Montague. Yale, New Haven (1974)

    Article  MathSciNet  MATH  Google Scholar 

  20. Montague, R.: The proper treatment of quantification in ordinary English. In: Hintikka, J., Moravcsik, J., Suppes, P. (eds.) Approaches to Natural Languages: Proceedings of the 1970 Stanford Workshop on Grammar and Semantics, D. Reidel, Dordrecht (1973); reprinted in Thomason, R. (ed.) Formal Philosophy: selected papers of Richard Montague. Yale, New Haven (1974)

    Google Scholar 

  21. Dowty, D., Wall, R., Peters, S.: Introduction to Montague Semantics. D. Reidel, Dordrecht (1981)

    Google Scholar 

  22. Janssen, T.M.V.: Foundations and Applications of Montague Grammar. PhD thesis, Mathematisch Centrum, Amsterdam (1983)

    Google Scholar 

  23. Gamut, L.T.F.: Logic, Language and Meaning, vol. 1+2. The University of Chicago Press, Chicago (1991)

    Google Scholar 

  24. Hendriks, H.: Studied Flexibility: categories and types in syntax and semantics. PhD thesis, University of Amsterdam (1993)

    Google Scholar 

  25. Morrill, G.: Type Logical Grammar: Categorial Logic of Signs. Kluwer, Dordrecht (1994)

    Book  MATH  Google Scholar 

  26. Carpenter, B.: Type-Logical Semantics. MIT Press, Cambridge (1997)

    MATH  Google Scholar 

  27. Moortgat, M.: Categorial type logics. In: van Benthem, J., ter Meulen, A. (eds.) Handbook of Logic and Language. Elsevier Science, Amsterdam (1997)

    Google Scholar 

  28. Morrill, G.: Categorial Grammar: Logical Syntax, Semantics, and Processing. Oxford University Press, Oxford (2011)

    Google Scholar 

  29. Fry, J.: Resource-logical event semantics for lfg (draft). Unpublished ms. Draft of paper that was to be submitted to the LFG 1999 Conference (2005)

    Google Scholar 

  30. Rothstein, S.: Secondary predication and aspectual structure. In: Lang, E., Maienborn, C., Fabricius-Hansen, C. (eds.) Modifying Adjuncts. Mouton de Gruyter, Berlin (2003)

    Google Scholar 

  31. Pustejovsky, J.: The syntax of event structure. Cognition 41, 47–81 (1991)

    Article  Google Scholar 

  32. Jackendoff, R.: Semantic Interpretation in Generative Grammar. MIT Press, Cambridge (1972)

    Google Scholar 

  33. Nam, S.: The Semantics of Locative Prepositional Phrases in English. PhD thesis, University of California Los Angeles (1995)

    Google Scholar 

  34. Kracht, M.: On the semantics of locatives. Linguistics and Philosophy 25, 157–232 (2002)

    Article  Google Scholar 

  35. Eckardt, R.: Adverbs, Events, and Other Things. Max Niemeyer Verlag, Tuebingen (1998)

    Book  Google Scholar 

  36. Higginbotham, J.: On semantics. Linguistic Inquiry 16, 547–593 (1985)

    Google Scholar 

  37. Diesing, M.: Indefinites. MIT Press, Cambridge (1992)

    Google Scholar 

  38. Carpenter, B.: Phrase Meaning and Categorial Grammar. PhD thesis, University of Edinburgh Centre for Cognitive Science (1989)

    Google Scholar 

  39. Condoravdi, C., Beaver, D.: On the logic of verbal modification. In: Aloni, M., Dekker, P., Roelofsen, F. (eds.) Proceedings of the Sixteenth Amsterdam Colloquium, ILLC/Department of Philosophy, University of Amsterdam, pp. 3–9 (2007)

    Google Scholar 

  40. Eckardt, R.: A logic for easy linking semantics. In: Aloni, M., Bastiaanse, H., de Jager, T., Schulz, K. (eds.) Logic, Language and Meaning. LNCS, vol. 6042, pp. 274–283. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  41. Champoleon, L.: Quantification in event semantics. A handout of a talk presented at the 6th International Symposium of Cognition, Logic and Communication, Riga, Latvia (2010)

    Google Scholar 

  42. Oehrle, R.: Term-labeled categorial type systems. Linguistics and Philosophy 17, 633–678 (1994)

    Article  Google Scholar 

  43. Kanazawa, M.: Parsing and generation as datalog queries. In: Proceedings of the 45st annual meeting of the Association for Computational Linguistics (ACL), pp. 176–183 (2007)

    Google Scholar 

  44. de Groote, P., Salvati, S.: Introduction to abstract categorial grammars: Foundations and main properties. Unpublished ms. Reader for course given at ESSLLI 2009 (2009)

    Google Scholar 

  45. Kanazawa, M., Pogodalla, S.: Advances in abstract categorial grammars: Language theory and linguistic modeling. Unpublished ms. Reader for course given at ESSLLI 2009 (2009)

    Google Scholar 

  46. van Benthem, J.: Language in Action: categories, lambdas and dynamic logic. North-Holland, Amsterdam (1991)

    MATH  Google Scholar 

  47. Dekker, P.: Existential disclosure. Linguistics and Philosophy 16, 561–588 (1993)

    Article  Google Scholar 

  48. de Groote, P.: Towards a montagovian account of dynamics, Proceedings of Semantics and Linguistic Theory, SALT17 (2007)

    Google Scholar 

  49. Vendler, Z.: Verbs and times. The Philosophical Review 66 (1957)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Winter, Y., Zwarts, J. (2011). Event Semantics and Abstract Categorial Grammar. In: Kanazawa, M., Kornai, A., Kracht, M., Seki, H. (eds) The Mathematics of Language. MOL 2011. Lecture Notes in Computer Science(), vol 6878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23211-4_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23211-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23210-7

  • Online ISBN: 978-3-642-23211-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics