Skip to main content

A Relevance-Directed Algorithm for Finding Justifications of DL Entailments

  • Conference paper
The Semantic Web (ASWC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5926))

Included in the following conference series:

Abstract

Finding the justifications of an entailment, i.e. minimal sets of axioms responsible for the entailment, is an important problem in ontology engineering and thus has become a key reasoning task for Description Logic-based ontologies. Although practical techniques to find all possible justifications exist, efficiency is still a problem. Furthermore, in the worst case the number of justifications for a subsumption entailment is exponential in the size of the ontology. Therefore, it is not always desirable to compute all justifications. In this paper, we propose a novel black-box algorithm that iteratively constructs a set of justifications of an entailment using a relevance-based selection function. Each justification returned by our algorithm is attached with a weight denoting its relevance degree w.r.t. the entailment. Finally, we implement the algorithm and present evaluation results over real-life ontologies that show the benefits of the selection function.

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

    Google Scholar 

  2. Baader, F., Lutz, C., Suntisrivaraporn, B.: Efficient reasoning in l+. In: Proc. of DL 2006 (2006)

    Google Scholar 

  3. Baader, F., Peñaloza, R.: Axiom pinpointing in general tableaux. In: Olivetti, N. (ed.) TABLEAUX 2007. LNCS (LNAI), vol. 4548, pp. 11–27. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Baader, F., Peñaloza, R., Suntisrivaraporn, B.: Pinpointing in the description logic EL + . In: Hertzberg, J., Beetz, M., Englert, R. (eds.) KI 2007. LNCS (LNAI), vol. 4667, pp. 52–67. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  5. Baader, F., Suntisrivaraporn, B.: Debugging SNOMED CT using axiom pinpointing in the description logic EL + . In: Proc. of KR-MED 2008 (2008)

    Google Scholar 

  6. Huang, Z., van Harmelen, F., ten Teije, A.: Reasoning with inconsistent ontologies. In: Proc. of IJCAI 2005, pp. 254–259 (2005)

    Google Scholar 

  7. Huang, Z., van Harmelen, F., ten Teije, A.: Reasoning with inconsistent ontologies: evaluation. Project Report D3.4.2, SEKT, pp. 254–259 (2006)

    Google Scholar 

  8. Kalyanpur, A., Parsia, B., Horridge, M., Sirin, E.: Finding all justifications of OWL DL entailments. 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. 267–280. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Kalyanpur, A., Parsia, B., Sirin, E., Hendler, J.: Debugging unsatisfiable classes in OWL ontologies. Journal of Web Semantics 3(4), 268–293 (2005)

    Google Scholar 

  10. Lam, J.S.C., Sleeman, D.H., Pan, J.Z., Vasconcelos, W.W.: A fine-grained approach to resolving unsatisfiable ontologies. In: Spaccapietra, S. (ed.) Journal on Data Semantics X. LNCS, vol. 4900, pp. 62–95. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Reiter, R.: A theory of diagnosis from first principles. Artificial Intelligence 32(1), 57–95 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  12. Schlobach, S., Cornet, R.: Non-standard reasoning services for the debugging of description logic terminologies. In: Proc. of IJCAI 2003, pp. 355–362 (2003)

    Google Scholar 

  13. Schlobach, S., Huang, Z., Cornet, R., van Harmelen, F.: Debugging incoherent terminologies. J. Autom. Reasoning 39(3), 317–349 (2007)

    Article  MATH  Google Scholar 

  14. Suntisrivaraporn, B., Qi, G., Ji, Q., Haase, P.: A modularization-based approach to finding all justifications for OWL DL entailments. In: Domingue, J., Anutariya, C. (eds.) ASWC 2008. LNCS, vol. 5367, pp. 1–15. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  15. Wang, H., Horridge, M., Rector, A., Drummond, N., Seidenberg, J.: Debugging OWL-DL ontologies: A heuristic approach. In: Gil, Y., Motta, E., Benjamins, V.R., Musen, M.A. (eds.) ISWC 2005. LNCS, vol. 3729, pp. 745–757. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ji, Q., Qi, G., Haase, P. (2009). A Relevance-Directed Algorithm for Finding Justifications of DL Entailments. In: Gómez-Pérez, A., Yu, Y., Ding, Y. (eds) The Semantic Web. ASWC 2009. Lecture Notes in Computer Science, vol 5926. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10871-6_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-10871-6_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10870-9

  • Online ISBN: 978-3-642-10871-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics