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Tailoring Temporal Description Logics for Reasoning over Temporal Conceptual Models

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Frontiers of Combining Systems (FroCoS 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6989))

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Abstract

Temporal data models have been used to describe how data can evolve in the context of temporal databases. Both the Extended Entity-Relationship (EER) model and the Unified Modelling Language (UML) have been temporally extended to design temporal databases. To automatically check quality properties of conceptual schemas various encoding to Description Logics (DLs) have been proposed in the literature. On the other hand, reasoning on temporally extended DLs turn out to be too complex for effective reasoning ranging from 2ExpTime up to undecidable languages. We propose here to temporalize the ‘light-weight’ DL-Lite logics obtaining nice computational results while still being able to represent various constraints of temporal conceptual models. In particular, we consider temporal extensions of \(\ensuremath{\textsl{DL-Lite}_\textit{bool}}^\mathcal{N}\), which was shown to be adequate for capturing non-temporal conceptual models without relationship inclusion, and its fragment \(\smash{\ensuremath{\textsl{DL-Lite}_\textit{core}}^\mathcal{N}}\) with most primitive concept inclusions, which are nevertheless enough to represent almost all types of atemporal constraints (apart from covering).

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References

  1. Artale, A., Calvanese, D., Kontchakov, R., Ryzhikov, V., Zakharyaschev, M.: Reasoning over extended ER models. In: Parent, C., Schewe, K.-D., Storey, V.C., Thalheim, B. (eds.) ER 2007. LNCS, vol. 4801, pp. 277–292. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Artale, A., Calvanese, D., Kontchakov, R., Zakharyaschev, M.: DL-Lite in the light of first-order logic. In: Proc. of the 22nd Nat. Conf. on Artificial Intelligence (AAAI 2007), pp. 361–366 (2007)

    Google Scholar 

  3. Artale, A., Calvanese, D., Kontchakov, R., Zakharyaschev, M.: The DL-Lite family and relations. J. of Artificial Intelligence Research 36, 1–69 (2009)

    MATH  MathSciNet  Google Scholar 

  4. Artale, A., Franconi, E., Mandreoli, F.: Description logics for modelling dynamic information. In: Chomicki, J., van der Meyden, R., Saake, G. (eds.) Logics for Emerging Applications of Databases. LNCS. Springer, Heidelberg (2003)

    Google Scholar 

  5. Artale, A., Kontchakov, R., Lutz, C., Wolter, F., Zakharyaschev, M.: Temporalising tractable description logics. In: 14th Int. Symposium on Temporal Representation and Reasoning (TIME 2007). IEEE Computer Society, Los Alamitos (2007)

    Google Scholar 

  6. Artale, A., Parent, C., Spaccapietra, S.: Evolving objects in temporal information systems. Annals of Mathematics and Artificial Intelligence 50(1-2), 5–38 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  7. Artale, A., Franconi, E.: Foundations of temporal conceptual data models. In: Borgida, A.T., Chaudhri, V.K., Giorgini, P., Yu, E.S. (eds.) Conceptual Modeling: Foundations and Applications. LNCS, vol. 5600, pp. 10–35. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  8. Artale, A., Kontchakov, R., Ryzhikov, V., Zakharyaschev, M.: DL-Lite with temporalised concepts, rigid axioms and roles. In: Ghilardi, S., Sebastiani, R. (eds.) FroCoS 2009. LNCS, vol. 5749, pp. 133–148. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Artale, A., Kontchakov, R., Ryzhikov, V., Zakharyaschev, M.: TDL-Lite: How to cook decidable temporal description logics (to be submitted, 2011)

    Google Scholar 

  10. Artale, A., Kontchakov, R., Ryzhikov, V., Zakharyaschev, M.: Complexity of reasoning over temporal data models. In: Parsons, J., Saeki, M., Shoval, P., Woo, C., Wand, Y. (eds.) ER 2010. LNCS, vol. 6412, pp. 174–187. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  11. Baader, F., Calvanese, D., McGuinness, D., Nardi, D., Patel-Schneider, P.F. (eds.): The Description Logic Handbook: Theory, Implementation and Applications, 2nd edn. Cambridge University Press, Cambridge (2003)

    MATH  Google Scholar 

  12. Berardi, D., Calvanese, D., De Giacomo, G.: Reasoning on UML class diagrams. Artificial Intelligence 168(1-2), 70–118 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: DL-Lite: Tractable description logics for ontologies. In: Proc. of the 20th Nat. Conf. on Artificial Intelligence (AAAI 2005), pp. 602–607 (2005)

    Google Scholar 

  14. 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. of Artificial Intelligence Research (JAIR) 39(3), 385–429 (2007)

    MATH  MathSciNet  Google Scholar 

  15. Combi, C., Degani, S., Jensen, C.S.: Capturing temporal constraints in temporal ER models. In: Li, Q., Spaccapietra, S., Yu, E., Olivé, A. (eds.) ER 2008. LNCS, vol. 5231, pp. 397–411. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  16. Finger, M., McBrien, P.: Temporal conceptual-level databases. In: Gabbay, D., Reynolds, M., Finger, M. (eds.) Temporal Logics – Mathematical Foundations and Computational Aspects, pp. 409–435. Oxford University Press, Oxford (2000)

    Google Scholar 

  17. Gabbay, D., Kurucz, A., Wolter, F., Zakharyaschev, M.: Many-dimensional modal logics: theory and applications. In: Studies in Logic. Elsevier, Amsterdam (2003)

    Google Scholar 

  18. Gabbay, D., Hodkinson, I., Reynolds, M.: Temporal Logic: Mathematical Foundations and Computational Aspects, vol. 1. Oxford University Press, Oxford (1994)

    Book  MATH  Google Scholar 

  19. Gabbay, D., Finger, M., Reynolds, M.: Temporal Logic: Mathematical Foundations and Computational Aspects, vol. 2. Oxford University Press, Oxford (2000)

    MATH  Google Scholar 

  20. Gregersen, H., Jensen, J.S.: Conceptual modeling of time-varying information. Technical Report TimeCenter TR-35. Aalborg University, Denmark (1998)

    Google Scholar 

  21. Gregersen, H., Jensen, J.S.: Temporal Entity-Relationship models – a survey. IEEE Transactions on Knowledge and Data Engineering 11(3), 464–497 (1999)

    Article  Google Scholar 

  22. Hall, G., Gupta, R.: Modeling transition. In: Proc. of ICDE 1991, pp. 540–549 (1991)

    Google Scholar 

  23. Lutz, C., Wolter, F., Zakharyaschev, M.: Temporal description logics: A survey. In: Proc. of 15th Int. Symposium on Temporal Representation and Reasoning (TIME 2008). IEEE Computer Society, Los Alamitos (2008)

    Google Scholar 

  24. McBrien, P., Seltveit, A.H., Wangler, B.: An Entity-Relationship model extended to describe historical information. In: Proc. of CISMOD 1992, Bangalore, India, pp. 244–260 (1992)

    Google Scholar 

  25. Mendelzon, A.O., Milo, T., Waller, E.: Object migration. In: Proc. of the 13th ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems (PODS 1994), pp. 232–242. ACM Press, New York (1994)

    Google Scholar 

  26. Parent, C., Spaccapietra, S., Zimanyi, E.: Conceptual Modeling for Traditional and Spatio-Temporal Applications—The MADS Approach. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  27. Poggi, A., Lembo, D., Calvanese, D., De Giacomo, G., Lenzerini, M., Rosati, R.: Linking data to ontologies. In: Spaccapietra, S. (ed.) Journal on Data Semantics X. LNCS, vol. 4900, pp. 133–173. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  28. Schild, K.: Combining terminological logics with tense logic. In: Proc. of the 6th Portuguese Conf. on Artificial Intelligence, pp. 105–120. Springer, London (1993)

    Chapter  Google Scholar 

  29. Su, J.: Dynamic constraints and object migration. Theoretical Computer Science 184(1-2), 195–236 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  30. Tauzovich, B.: Towards temporal extensions to the entity-relationship model. In: Proc. of the Int. Conf. on Conceptual Modeling (ER 1991). Springer, Heidelberg (1991)

    Google Scholar 

  31. Theodoulidis, C., Loucopoulos, P., Wangler, B.: A conceptual modelling formalism for temporal database applications. Information Systems 16(3), 401–416 (1991)

    Article  Google Scholar 

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Artale, A., Kontchakov, R., Ryzhikov, V., Zakharyaschev, M. (2011). Tailoring Temporal Description Logics for Reasoning over Temporal Conceptual Models. In: Tinelli, C., Sofronie-Stokkermans, V. (eds) Frontiers of Combining Systems. FroCoS 2011. Lecture Notes in Computer Science(), vol 6989. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24364-6_1

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  • DOI: https://doi.org/10.1007/978-3-642-24364-6_1

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