Skip to main content

Conjunctive Queries with Negation over DL-Lite: A Closer Look

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7994))

Abstract

While conjunctive query (CQ) answering over DL-Lite has been studied extensively, there have been few attempts to analyse CQs with negated atoms. This paper deepens the study of the problem. Answering CQs with safe negation and CQs with a single inequality over DL-Lite with role inclusions is shown to be undecidable, even for a fixed TBox and query.Without role inclusions, answering CQs with one inequality is P-hard and with two inequalities coNP-hard in data complexity.

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

Buying options

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   49.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Tractable reasoning and efficient query answering in description logics: The DL-Lite family. J. Autom. Reasoning 39(3), 385–429 (2007)

    Article  MATH  Google Scholar 

  2. Artale, A., Calvanese, D., Kontchakov, R., Zakharyaschev, M.: The DL-Lite family and relations. J. Artif. Intell. Res. (JAIR) 36, 1–69 (2009)

    Google Scholar 

  3. Rosati, R.: The limits of querying ontologies. In: Schwentick, T., Suciu, D. (eds.) ICDT 2007. LNCS, vol. 4353, pp. 164–178. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Bienvenu, M., Ortiz, M., Simkus, M.: Answering expressive path queries over lightweight DL knowledge bases. In: Proc. of the 2012 Int. Workshop on Description Logics (DL). CEUR-WS, vol. 846 (2012)

    Google Scholar 

  5. Gutiérrez-Basulto, V., Ibáñez-García, Y.A., Kontchakov, R.: An update on query answering with restricted forms of negation. In: Krötzsch, M., Straccia, U. (eds.) RR 2012. LNCS, vol. 7497, pp. 75–89. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  6. Kostylev, E.V., Reutter, J.L.: Answering counting aggregate queries over ontologies of the DL-Lite family. In: Proc. of the 27th AAAI Conf. on Artificial Intelligence (AAAI) (2013)

    Google Scholar 

  7. Deutsch, A., Nash, A., Remmel, J.B.: The chase revisited. In: Proc. of the 27th ACM SIGMOD-SIGACT-SIGART Symposium on Principles of Database Systems (PODS), pp. 149–158. ACM Press (2008)

    Google Scholar 

  8. Kontchakov, R., Lutz, C., Toman, D., Wolter, F., Zakharyaschev, M.: The combined approach to query answering in DL-Lite. In: Proc. of the 12th Int. Conf. on Principles of Knowledge Representation and Reasoning (KR). AAAI Press (2010)

    Google Scholar 

  9. Klenke, T.: Über die Entscheidbarkeit von konjunktiv Anfragen mit Ungleichheit in der Beschreibungslogik \(\mathcal{EL}\). Master’s thesis, Universität Bremen (2010)

    Google Scholar 

  10. Vardi, M.Y.: The complexity of relational query languages (extended abstract). In: Proc. of the 14th Annual ACM Symposium on Theory of Computing (STOC), pp. 137–146. ACM (1982)

    Google Scholar 

  11. Papadimitriou, C.H.: Computational complexity. Academic Internet Publ. (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gutiérrez-Basulto, V., Ibañez-García, Y., Kontchakov, R., Kostylev, E.V. (2013). Conjunctive Queries with Negation over DL-Lite: A Closer Look. In: Faber, W., Lembo, D. (eds) Web Reasoning and Rule Systems. RR 2013. Lecture Notes in Computer Science, vol 7994. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39666-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39666-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39665-6

  • Online ISBN: 978-3-642-39666-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics