Skip to main content

Adverbs in a Modern Type Theory

  • Conference paper
Logical Aspects of Computational Linguistics (LACL 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8535))

Abstract

This paper is the first attempt to deal with aspects of the semantics of adverbs within a modern type theoretical setting. A number of issues pertaining to the semantics of different classes of adverbs like verididality and intensionality will be discussed and further shown to be captured straightforwardly within a modern type theoretical setting. In particular, I look at the issue of veridicality and show that the inferences associated with veridical adverbs can be dealt with via typing alone, i.e. without the aid of meaning postulates. In case of intensional adverbs like intentionally or allegedly, I show that these can be captured by making use of the type theoretical notion of context, i.e. without the use of possible worlds.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Chatzikyriakidis, S., Luo, Z.: An account of natural language coordination in type theory with coercive subtyping. In: Duchier, D., Parmentier, Y. (eds.) Constraint Solving and Language Processing. LNCS, vol. 8114, pp. 31–51. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  2. Chatzikyriakidis, S., Luo, Z.: Adjectives in a modern type-theoretical setting. In: Morrill, G., Nederhof, M.-J. (eds.) Formal Grammar 2012 and 2013. LNCS, vol. 8036, pp. 159–174. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  3. Chatzikyriakidis, S., Luo, Z.: Natural language inference in coq (2013) (submitted)

    Google Scholar 

  4. Chatzikyriakidis, S., Luo, Z.: Natural language reasoning using proof-assistant technology: Rich typing and beyond. In: Proceedings of EACL 2014 (2014)

    Google Scholar 

  5. Church, A.: A formulation of the simple theory of types. J. Symbolic Logic 5(1) (1940)

    Google Scholar 

  6. Cinque, G.: Adverbs and Functional Heads: A Cross-Linguistic Perspective. Oxford University Press (1999)

    Google Scholar 

  7. Davidson, D.: Compositionality and coercion in semantics: The semantics of adjective meaning. In: Rescher, N. (ed.) The Logical Form of Action Sentences, pp. 81–95. University of Pittsburgh Press (1967)

    Google Scholar 

  8. Ernst, T.: The Syntax of Adjuncts. Cambridge press (2002)

    Google Scholar 

  9. Ernst, T.: On the role of semantics in a theory of adverb syntax. Lingua 117(6) (2007)

    Google Scholar 

  10. Girard, J.Y.: Une extension de l’interpretation fonctionelle de gödel à l’analyse et son application à l’élimination des coupures dans et la thèorie des types’. In: Proc. 2nd Scandinavian Logic Symposium. North-Holland (1971)

    Google Scholar 

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

    Google Scholar 

  12. Kamp, H.: Formal semantics of natural language. In: Keenan, E. (ed.) Two Theories About Adjectives, pp. 123–155. Cambridge University Press (1975)

    Google Scholar 

  13. Luo, Z.: Computation and Reasoning: A Type Theory for Computer Science. Oxford Univ. Press (1994)

    Google Scholar 

  14. Luo, Z.: Coercive subtyping. Journal of Logic and Computation 9(1), 105–130 (1999)

    Google Scholar 

  15. Luo, Z.: Type-theoretical semantics with coercive subtyping. Semantics and Linguistic Theory 20 (SALT20), Vancouver 84(2), 28–56 (2010)

    Google Scholar 

  16. Luo, Z.: Contextual analysis of word meanings in type-theoretical semantics. In: Pogodalla, S., Prost, J.-P. (eds.) LACL 2011. LNCS, vol. 6736, pp. 159–174. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  17. Luo, Z.: Common nouns as types. In: Béchet, D., Dikovsky, A. (eds.) LACL 2012. LNCS, vol. 7351, pp. 173–185. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  18. Luo, Z.: Formal semantics in modern type theories with coercive subtyping. Linguistics and Philosophy 35(6), 491–513 (2012)

    Article  Google Scholar 

  19. Luo, Z., Soloviev, S., Xue, T.: Coercive subtyping: theory and implementation. Information and Computation 223, 18–42 (2012)

    Article  MathSciNet  Google Scholar 

  20. Luo, Z.: Adjectives and adverbs in type-theoretical semantics. Notes (2011)

    Google Scholar 

  21. Maienborn, C., Schafer, M.: Adverbs and adverbials. In: Maienborn, C., von Heusinger, K., Portner, P. (eds.) Semantics. An International Handbook of Natural Language Meaning, pp. 1390–1420. De Gruyter, Mouton (2011)

    Google Scholar 

  22. Martin-Löf, P.: An intuitionistic theory of types: predicative part. In: Rose, H., Shepherdson, J.C. (eds.) Logic Colloquium 1973 (1975)

    Google Scholar 

  23. Martin-Löf, P.: Intuitionistic Type Theory. Bibliopolis (1984)

    Google Scholar 

  24. Montague, R.: English as a formal language. In: Visentini, B. (ed.) Linguaggi Nella Societ e Nella. Edizioni di Comunitl, Milan (1970)

    Google Scholar 

  25. Montague, R.: Formal Philosophy. Yale University Press (1974)

    Google Scholar 

  26. Parsons, T.: Some problems concerning the logic of grammatical modifiers. In: Davidson, D., Harman, G. (eds.) Semantics of Natural Language, pp. 127–141. Reidel, Dordrecht (1972)

    Chapter  Google Scholar 

  27. Ranta, A.: Type-Theoretical Grammar. Oxford University Press (1994)

    Google Scholar 

  28. Thomason, R., R.C.S.: A semantic theory of adverbs. Linguistic Inquiry 4(2), 195–220 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chatzikyriakidis, S. (2014). Adverbs in a Modern Type Theory. In: Asher, N., Soloviev, S. (eds) Logical Aspects of Computational Linguistics. LACL 2014. Lecture Notes in Computer Science, vol 8535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43742-1_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-43742-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43741-4

  • Online ISBN: 978-3-662-43742-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics