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Complexity of Inconsistency-Tolerant Query Answering in Datalog+/–

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On the Move to Meaningful Internet Systems: OTM 2013 Conferences (OTM 2013)

Abstract

The study of inconsistency-tolerant semantics for query answering in ontological languages has recently gained much attention. In this work, we consider three inconsistency-tolerant semantics recently proposed in the literature, namely: consistent query answering, the intersection (also called IAR) semantics, and the intersection of closed repairs (ICR) semantics. We study the data complexity of conjunctive query answering under these semantics for a wide set of tractable fragments of Datalog+/–. The Datalog+/– family of ontology languages covers several important description logics (DLs), bridging the gap in expressive power between database query languages and DLs as ontology languages, and extending the well-known Datalog language in order to embed DLs. Its properties of decidability of query answering and of tractability of query answering in the (data) complexity make Datalog+/– very useful in modeling real-world applications in which inconsistency-tolerant reasoning is essential.

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References

  1. Arenas, M., Bertossi, L.E., Chomicki, J.: Consistent query answers in inconsistent databases. In: Proc. PODS 1999, pp. 68–79. ACM Press (1999)

    Google Scholar 

  2. Baget, J.F., Leclère, M., Mugnier, M.L.: Walking the decidability line for rules with existential variables. In: Proc. KR 2010, pp. 466–476. AAAI Press (2010)

    Google Scholar 

  3. Baget, J.F., Leclère, M., Mugnier, M.L., Salvat, E.: Extending decidable cases for rules with existential variables. In: Proc. IJCAI 2009, pp. 677–682 (2009)

    Google Scholar 

  4. Baget, J.F., Mugnier, M.L., Rudolph, S., Thomazo, M.: Walking the complexity lines for generalized guarded existential rules. In: Proc. IJCAI 2011, pp. 712–717. IJCAI/AAAI Press (2011)

    Google Scholar 

  5. Beeri, C., Vardi, M.Y.: The implication problem for data dependencies. In: Even, S., Kariv, O. (eds.) ICALP 1981. LNCS, vol. 115, pp. 73–85. Springer, Heidelberg (1981)

    Chapter  Google Scholar 

  6. Bienvenu, M.: First-order expressibility results for queries over inconsistent DL-Lite knowledge bases. In: Proc. DL 2011. CEUR Workshop Proceedings, vol. 745. CEUR-WS.org (2011)

    Google Scholar 

  7. Bienvenu, M.: Inconsistency-tolerant conjunctive query answering for simple ontologies. In: Proc. DL 2012. CEUR Workshop Proceedings, vol. 846. CEUR-WS.org (2012)

    Google Scholar 

  8. Bienvenu, M.: On the complexity of consistent query answering in the presence of simple ontologies. In: Proc. AAAI 2012, pp. 705–711. AAAI Press (2012)

    Google Scholar 

  9. Calì, A., Gottlob, G., Kifer, M.: Taming the infinite chase: Query answering under expressive relational constraints. In: Proc. KR 2008, pp. 70–80. AAAI Press (2008)

    Google Scholar 

  10. Calì, A., Gottlob, G., Lukasiewicz, T.: A general Datalog-based framework for tractable query answering over ontologies. J. Web Sem. 14, 57–83 (2012)

    Article  Google Scholar 

  11. Calì, A., Gottlob, G., Pieris, A.: Advanced processing for ontological queries. Proceedings of the VLDB Endowment 3(1/2), 554–565 (2010)

    Google Scholar 

  12. Calì, A., Gottlob, G., Pieris, A.: Query answering under non-guarded rules in Datalog+/-. In: Hitzler, P., Lukasiewicz, T. (eds.) RR 2010. LNCS, vol. 6333, pp. 1–17. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  13. Chandra, A.K., Lewis, H.R., Makowsky, J.A.: Embedded implicational dependencies and their inference problem. In: Proc. STOC 1981, pp. 342–354. ACM Press (1981)

    Google Scholar 

  14. Chomicki, J.: Consistent query answering: Five easy pieces. In: Schwentick, T., Suciu, D. (eds.) ICDT 2007. LNCS, vol. 4353, pp. 1–17. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  15. Dantsin, E., Eiter, T., Gottlob, G., Voronkov, A.: Complexity and expressive power of logic programming. ACM Comput. Surv. 33(3), 374–425 (2001)

    Article  Google Scholar 

  16. Deutsch, A., Nash, A., Remmel, J.B.: The chase revisited. In: Proc. PODS 2008, pp. 149–158. ACM Press (2008)

    Google Scholar 

  17. Fagin, R., Kolaitis, P.G., Miller, R.J., Popa, L.: Data exchange: Semantics and query answering. Theor. Comp. Sci. 336(1), 89–124 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  18. Huang, Z., van Harmelen, F., ten Teije, A.: Reasoning with inconsistent ontologies. In: Proc. IJCAI 2005, pp. 354–359. Professional Book Center (2005)

    Google Scholar 

  19. Krötzsch, M., Rudolph, S.: Extending decidable existential rules by joining acyclicity and guardedness. In: Proc. IJCAI 2011, pp. 963–968. IJCAI/AAAI Press (2011)

    Google Scholar 

  20. Lembo, D., Lenzerini, M., Rosati, R., Ruzzi, M., Savo, D.F.: Inconsistency-tolerant semantics for description logics. In: Hitzler, P., Lukasiewicz, T. (eds.) RR 2010. LNCS, vol. 6333, pp. 103–117. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  21. Lembo, D., Lenzerini, M., Rosati, R., Ruzzi, M., Savo, D.F.: Query rewriting for inconsistent DL-lite ontologies. In: Rudolph, S., Gutierrez, C. (eds.) RR 2011. LNCS, vol. 6902, pp. 155–169. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  22. Lukasiewicz, T., Martinez, M.V., Simari, G.I.: Inconsistency handling in Datalog+/– ontologies. In: Proc. ECAI 2012, pp. 558–563. IOS Press (2012)

    Google Scholar 

  23. Lukasiewicz, T., Martinez, M.V., Simari, G.I.: Inconsistency-tolerant query rewriting for linear Datalog+/–. In: Barceló, P., Pichler, R. (eds.) Datalog 2.0 2012. LNCS, vol. 7494, pp. 123–134. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  24. Ma, Y., Hitzler, P.: Paraconsistent reasoning for OWL 2. In: Polleres, A., Swift, T. (eds.) RR 2009. LNCS, vol. 5837, pp. 197–211. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  25. Parsia, B., Sirin, E., Kalyanpur, A.: Debugging OWL ontologies. In: Proc. WWW 2005, pp. 633–640. ACM Press (2005)

    Google Scholar 

  26. Qi, G., Du, J.: Model-based revision operators for terminologies in description logics. In: Proc. IJCAI 2009, pp. 891–897 (2009)

    Google Scholar 

  27. Rosati, R.: On the complexity of dealing with inconsistency in description logic ontologies. In: Proc. IJCAI 2011, pp. 1057–1062. IJCAI/AAAI Press (2011)

    Google Scholar 

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Lukasiewicz, T., Martinez, M.V., Simari, G.I. (2013). Complexity of Inconsistency-Tolerant Query Answering in Datalog+/–. In: Meersman, R., et al. On the Move to Meaningful Internet Systems: OTM 2013 Conferences. OTM 2013. Lecture Notes in Computer Science, vol 8185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41030-7_35

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  • DOI: https://doi.org/10.1007/978-3-642-41030-7_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41029-1

  • Online ISBN: 978-3-642-41030-7

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