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Querying the Fragments of English

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6642))

Abstract

Controlled languages are fragments of natural languages stripped clean of lexical, structural and semantic ambiguity. They have been proposed as a means for providing natural language front-ends to access structured knowledge sources, given that they compositionally and deterministically translate into the (logic-based) formalisms such back-end systems support. An important issue that arises in this context is the semantic data complexity of accessing such information (i.e., the computational complexity of querying measured w.r.t. the number of instances declared in the back-end knowledge base or database). In this paper we study the semantic data complexity of a distinguished family of context-free controlled fragments, viz., Pratt and Third’s fragments of English. In doing so, we pinpoint those fragments for which the reasoning problems are tractable (in PTime) or intractable (NP-hard or coNP-hard).

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References

  1. Abiteboul, S., Hull, R., Vianu, V.: Foundations of Databases. Addison-Wesley, Reading (1995)

    MATH  Google Scholar 

  2. Baader, F., Calvanese, D., Nardi, D., Patel-Schneider, P., McGuinness, D.: The Description Logic Handbook. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  3. Berger, R.: The Undecidability of the Domino Problem. Memoirs of the American Mathematical Society. American Mathematical Society, Providence (1966)

    MATH  Google Scholar 

  4. Bernardi, R., Calvanese, D., Thorne, C.: Expressing DL-Lite ontologies with controlled English. In: Proceedings of the 20th International Workshop on Description Logics, DL 2007 (2007)

    Google Scholar 

  5. Cimiano, P., Haase, P., Heizmann, J., Mantel, M., Studer, R.: Towards portable natural language interfaces to knowledge bases - The case of the ORAKEL system. Data and Knowledge Engineering 65(2), 325–354 (2008)

    Article  Google Scholar 

  6. Fermüller, C.G., Leitsch, A., Hustadt, U., Tammet, T.: Resolution decision procedures. In: Robinson, A., Voronkov, A. (eds.) Handbook of Automated Reasoning, vol. 2, pp. 1791–1849. Elsevier - The MIT Press (2001)

    Google Scholar 

  7. Fuchs, N.E., Kaljurand, K., Schneider, G.: Attempto Controlled English meets the challenges of knowledge representation, reasoning, interoperability and user interfaces. In: Proceedings of the 19th International Florida Artificial Intelligence Research Society Conference, FLAIRS 2006 (2005)

    Google Scholar 

  8. Gurevitch, Y., Grädel, E., Börger, E.: The Classical Decision Problem. Springer, Heidelberg (2001)

    MATH  Google Scholar 

  9. Joyner Jr., W.H.: Resolution strategies as decision procedures. Journal of the ACM 23(3), 398–417 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  10. Jurafsky, D., Martin, J.: Speech and Language Processing, 2nd edn. Prentice Hall, Englewood Cliffs (2009)

    Google Scholar 

  11. Kaufmann, E., Bernstein, A.: How useful are natural language interfaces to the semantic web for casual end-users? In: Aberer, K., Choi, K.-S., Noy, N., Allemang, D., Lee, K.-I., Nixon, L.J.B., Golbeck, J., Mika, P., Maynard, D., Mizoguchi, R., Schreiber, G., Cudré-Mauroux, P. (eds.) ASWC 2007 and ISWC 2007. LNCS, vol. 4825, pp. 281–294. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  12. Lalément, R.: Logique, réduction, résolution. Dunod (1997)

    Google Scholar 

  13. Minock, M., Olofsson, P., Näslund, A.: Towards building robust natural language interfaces to databases. In: Kapetanios, E., Sugumaran, V., Spiliopoulou, M. (eds.) NLDB 2008. LNCS, vol. 5039, pp. 187–198. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  14. Montague, R.: Universal grammar. Theoria 36(3), 373–398 (1970)

    Article  MathSciNet  MATH  Google Scholar 

  15. Pratt-Hartmann, I.: Data complexity of the two-variable fragment with counting quantifiers. Information and Computation 207(8), 867–888 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  16. Pratt-Hartmann, I.: Computational complexity in natural language. In: Handbook of Computational Linguistics and Natural Language Processing, pp. 43–73. Wiley-Blackwell (2010)

    Google Scholar 

  17. Pratt-Hartmann, I., Third, A.: More fragments of language. Notre Dame Journal of Formal Logic 47(2), 151–177 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  18. Rich, E.: Natural-language interfaces. Computer 19(9), 39–47 (1984)

    Article  Google Scholar 

  19. Robinson, A.: A machine-oriented logic based on the resolution principle. Journal of the ACM 12(1) (1965)

    Google Scholar 

  20. Schaerf, A.: On the complexity of the instance checking problem in concept languages with existential quantification. Journal of Intelligent Information Systems 2(3), 265–278 (1993)

    Article  Google Scholar 

  21. Szymanik, J.: The computational complexity of quantified reciprocals. In: Bosch, P., Gabelaia, D., Lang, J. (eds.) TbiLLC 2007. LNCS, vol. 5422, pp. 139–152. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  22. Thorne, C., Calvanese, D.: The data complexity of the syllogistic fragments of English. In: Proceedings of the 2009 Amsterdam Colloquium, AC 2009 (2010)

    Google Scholar 

  23. Vardi, M.: The complexity of relational query languages. In: Proceedings of the Fourteenth Annual ACM Symposium on Theory of Computing (1982)

    Google Scholar 

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Thorne, C. (2011). Querying the Fragments of English. In: Beklemishev, L.D., de Queiroz, R. (eds) Logic, Language, Information and Computation. WoLLIC 2011. Lecture Notes in Computer Science(), vol 6642. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20920-8_25

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  • DOI: https://doi.org/10.1007/978-3-642-20920-8_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20919-2

  • Online ISBN: 978-3-642-20920-8

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