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A Language Theoretic Approach to Syntactic Structure

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The Mathematics of Language (MOL 2011)

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

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Abstract

We consider the idea of defining syntactic structure relative to a language, rather than to a grammar for a language. This allows us to define a notion of hierarchical structure that is independent of the particular grammar, and that depends rather on the properties of various algebraic structures canonically associated with a language. Our goal is not necessarily to recover the traditional ideas of syntactic structure invented by linguists, but rather to come up with an objective notion of syntactic structure that can be used for semantic interpretation. The role of syntactic structure is to bring together words and constituents that are apart on the surface, so they can be combined appropriately. The approach is based on identifying concatenation operations which are non-trivial and using these to constrain the allowable local trees in a structural description.

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References

  1. Chomsky, N.: Syntactic Structures. Mouton, Netherlands (1957)

    Google Scholar 

  2. Miller, P.: Strong generative capacity: The semantics of linguistic formalism. CSLI Publications, Stanford (1999)

    MATH  Google Scholar 

  3. Clark, A., Lappin, S.: Linguistic Nativism and the Poverty of the Stimulus. Wiley-Blackwell (2011)

    Google Scholar 

  4. Wells, R.S.: Immediate constituents. Language 23(2), 81–117 (1947)

    Article  Google Scholar 

  5. Searle, J.R.: Chomsky’s revolution in linguistics. The New York Review of Books 18(12) (June 1972)

    Google Scholar 

  6. Kulagina, O.S.: One method of defining grammatical concepts on the basis of set theory. Problemy Kiberneticy 1, 203–214 (1958)

    Google Scholar 

  7. Sestier, A.: Contribution à une théorie ensembliste des classifications linguistiques. In: Premier Congrès de l’Association Française de Calcul, Grenoble, pp. 293–305 (1960)

    Google Scholar 

  8. van Helden, W.: Case and gender: Concept formation between morphology and syntax (II volumes). Studies in Slavic and General Linguistics. Rodopi, Amsterdam-Atlanta (1993)

    Google Scholar 

  9. Meyer, P.: Grammatical categories and the methodology of linguistics. Russian Linguistics 18(3), 341–377 (1994)

    Article  Google Scholar 

  10. Clark, A., Eyraud, R.: Polynomial identification in the limit of substitutable context-free languages. Journal of Machine Learning Research 8, 1725–1745 (2007)

    MathSciNet  MATH  Google Scholar 

  11. Clark, A.: Distributional learning of some context-free languages with a minimally adequate teacher. In: Sempere, J.M., García, P. (eds.) ICGI 2010. LNCS, vol. 6339, pp. 24–37. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  12. Clark, A.: PAC-learning unambiguous NTS languages. In: Sakakibara, Y., Kobayashi, S., Sato, K., Nishino, T., Tomita, E. (eds.) ICGI 2006. LNCS (LNAI), vol. 4201, pp. 59–71. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Chomsky, N.: Review of Joshua Greenberg’s Essays in Linguistics. Word 15, 202–218 (1959)

    Article  Google Scholar 

  14. Yoshinaka, R., Clark, A.: Polynomial time learning of some multiple context-free languages with a minimally adequate teacher. In: Proceedings of the 15th Conference on Formal Grammar, Copenhagen, Denmark (2010)

    Google Scholar 

  15. Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, Heidelberg (1997)

    MATH  Google Scholar 

  16. Clark, A., Eyraud, R., Habrard, A.: Using contextual representations to efficiently learn context-free languages. Journal of Machine Learning Research 11, 2707–2744 (2010)

    MathSciNet  MATH  Google Scholar 

  17. Clark, A.: Learning context free grammars with the syntactic concept lattice. In: Sempere, J.M., García, P. (eds.) ICGI 2010. LNCS, vol. 6339, pp. 38–51. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Clark, A.: Efficient, correct, unsupervised learning of context-sensitive languages. In: Proceedings of CoNLL, Uppsala, Sweden, pp. 28–37 (2010)

    Google Scholar 

  19. Gazdar, G., Klein, E., Pullum, G., Sag, I.: Generalised Phrase Structure Grammar. Basil Blackwell, Malden (1985)

    Google Scholar 

  20. Seki, H., Matsumura, T., Fujii, M., Kasami, T.: On multiple context-free grammars. Theoretical Computer Science 88(2), 229 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  21. Yoshinaka, R.: Learning mildly context-sensitive languages with multidimensional substitutability from positive data. In: Gavaldà, R., Lugosi, G., Zeugmann, T., Zilles, S. (eds.) ALT 2009. LNCS, vol. 5809, pp. 278–292. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  22. Yoshinaka, R.: Polynomial-time identification of multiple context-free languages from positive data and membership queries. In: Sempere, J.M., García, P. (eds.) ICGI 2010. LNCS, vol. 6339, pp. 230–244. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  23. Scholz, B., Pullum, G.: Systematicity and Natural Language Syntax. Croatian Journal of Philosophy 3(21), 375 (2007)

    Google Scholar 

  24. Clark, A.: A learnable representation for syntax using residuated lattices. In: de Groote, P., Egg, M., Kallmeyer, L. (eds.) Formal Grammar. LNCS, vol. 5591, pp. 183–198. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  25. Manaster-Ramer, A.: Dutch as a formal language. Linguistics and Philosophy 10(2), 221–246 (1987)

    Article  Google Scholar 

  26. Carnie, A.: Constituent structure. Oxford University Press, USA (2008)

    Google Scholar 

  27. Chomsky, N.: Language and mind, 3rd edn. Cambridge University Press, Cambridge (2006)

    Book  Google Scholar 

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Clark, A. (2011). A Language Theoretic Approach to Syntactic Structure. 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_3

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  • DOI: https://doi.org/10.1007/978-3-642-23211-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23210-7

  • Online ISBN: 978-3-642-23211-4

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