Abstract
In Ontology-Based Data Access (OBDA), user queries are evaluated over a set of facts under the open world assumption, while taking into account background knowledge given in the form of a Description Logic (DL) ontology. In order to deal with dynamically changing data sources, temporal conjunctive queries (TCQs) have recently been proposed as a useful extension of OBDA to support the processing of temporal information. We extend the existing complexity analysis of TCQ entailment to very expressive DLs underlying the OWL 2 standard, and in contrast to previous work also allow for queries containing transitive roles.
This work was partially supported by the DFG in the CRC 912 (HAEC).
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Notes
- 1.
Actually, that paper considers \(\mathcal {SHQ}\), but restricts the roles in CQs to be simple.
References
Artale, A., Kontchakov, R., Wolter, F., Zakharyaschev, M.: Temporal description logic for ontology-based data access. In: Proceedings of IJCAI 2013, pp. 711–717 (2013)
Baader, F.: Ontology-based monitoring of dynamic systems. In: Proceedings of KR 2014, pp. 678–681 (2014)
Baader, F., Borgwardt, S., Lippmann, M.: Temporal conjunctive queries in expressive DLs with non-simple roles. LTCS-Report 15–17, Chair of Automata Theory, TU Dresden (2015). http://lat.inf.tu-dresden.de/research/reports.html
Baader, F., Borgwardt, S., Lippmann, M.: Temporal query entailment in the description logic \({\cal {SHQ}}\). J. Web Semant. 33, 71–93 (2015)
Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F. (eds.): The Description Logic Handbook: Theory, Implementation, and Applications, 2nd edn. Cambridge University Press, Cambridge (2007)
Baader, F., Ghilardi, S., Lutz, C.: LTL over description logic axioms. ACM T. Comput. Log. 13(3), 21:1–21:32 (2012)
Bienvenu, M., Ortiz, M., Šimkus, M., Xiao, G.: Tractable queries for lightweight description logics. In: Rossi, F. (ed.) Proceedings of IJCAI 2013, pp. 768–774 (2013)
Bienvenu, M., ten Cate, B., Lutz, C., Wolter, F.: Ontology-based data access: a study through disjunction datalog, CSP, and MMSNP. ACM T. Database Syst. 39(4), 33:1–33:44 (2014)
Bonatti, P.A., Lutz, C., Murano, A., Vardi, M.Y.: The complexity of enriched \(\mu \)-calculi. Log. Meth. Comput. Sci. 4(3:11), 1–27 (2008)
Borgwardt, S., Thost, V.: Temporal query answering in DL-Lite with negation. In: Proceedings of GCAI 2015 (2015, to appear)
Borgwardt, S., Thost, V.: Temporal query answering in the description logic \(\cal EL\). In: Proceedings of IJCAI 2015, pp. 2819–2825 (2015)
Calvanese, D., Eiter, T., Ortiz, M.: Regular path queries in expressive description logics with nominals. In: Proceedings of IJCAI 2009, pp. 714–720 (2009)
Calvanese, D., Eiter, T., Ortiz, M.: Answering regular path queries in expressive description logics via alternating tree-automata. Inf. Comput. 237, 12–55 (2014)
Decker, S., Erdmann, M., Fensel, D., Studer, R.: Ontobroker: ontology based access to distributed and semi-structured information. In: Meersman, R., Tari, Z., Stevens, S. (eds.) Database Semantics. IFIP, vol. 11, pp. 351–369. Springer, New York (1999)
Eiter, T., Lutz, C., Ortiz, M., Šimkus, M.: Query answering in description logics with transitive roles. In: Proceedings of IJCAI 2009, pp. 759–764 (2009)
Glimm, B., Horrocks, I., Lutz, C., Sattler, U.: Conjunctive query answering for the description logic \({\cal {SHIQ}}\). J. Artif. Intell. Res. 31(1), 157–204 (2008)
Glimm, B., Horrocks, I., Sattler, U.: Unions of conjunctive queries in \({\cal {SHOQ}}\). In: Proceedings of KR 2008, pp. 252–262 (2008)
Glimm, B., Kazakov, Y., Lutz, C.: Status \(\cal QIO\): an update. In: Proceedings of DL 2011, pp. 136–146 (2011)
Horrocks, I., Sattler, U., Tobies, S.: Practical reasoning for very expressive description logics. L. J. IGPL 8(3), 239–263 (2000)
Lippmann, M.: Temporalised description logics for monitoring partially observable events. Ph.D. thesis, TU Dresden, Germany (2014)
Lutz, C.: The complexity of conjunctive query answering in expressive description logics. In: Armando, A., Baumgartner, P., Dowek, G. (eds.) Automated Reasoning. LNCS, vol. 5195, pp. 179–193. Springer, Heidelberg (2008)
Lutz, C., Wolter, F.: Non-uniform data complexity of query answering in description logics. In: Brewka, G., Eiter, T., McIlraith, S.A. (eds.) Proceedings of KR 2012, pp. 297–307 (2012)
Ngo, N., Ortiz, M., Šimkus, M.: The combined complexity of reasoning with closed predicates in description logics. In: Proceedings of DL 2015, pp. 249–261 (2015)
Ortiz, M., Calvanese, D., Eiter, T.: Data complexity of query answering in expressive description logics via tableaux. J. Autom. Reasoning 41(1), 61–98 (2008)
Ortiz, M., Šimkus, M.: Reasoning and query answering in description logics. In: Reasoning Web. 8th International Summer School, Chap. 1, pp. 1–53 (2012)
Pnueli, A.: The temporal logic of programs. In: Proceedings of SFCS 1977, pp. 46–57 (1977)
Poggi, A., Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Linking data to ontologies. J. Data Semant. 10, 133–173 (2008)
Rudolph, S., Glimm, B.: Nominals, inverses, counting, and conjunctive queries or: why infinity is your friend!. J. Artif. Intell. Res. 39(1), 429–481 (2010)
Schaerf, A.: On the complexity of the instance checking problem in concept languages with existential quantification. J. Intell. Inf. Syst. 2(3), 265–278 (1993)
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Baader, F., Borgwardt, S., Lippmann, M. (2015). Temporal Conjunctive Queries in Expressive Description Logics with Transitive Roles. In: Pfahringer, B., Renz, J. (eds) AI 2015: Advances in Artificial Intelligence. AI 2015. Lecture Notes in Computer Science(), vol 9457. Springer, Cham. https://doi.org/10.1007/978-3-319-26350-2_3
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