Abstract
This chapter considers the different temporal constructs appeared in the literature of temporal conceptual models (timestamping and evolution constraints), and it provides a coherent model-theoretic formalisation for them. It then introduces a correct and succinct encoding in a subset of first-order temporal logic, namely \({{\mathcal DLR}_{\mathcal US}}\) – the description logic \({\mathcal DLR}\) extended with the temporal operators Since and Until. At the end, results on the complexity of reasoning in temporal conceptual models are presented.
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Artale, A.: Reasoning on temporal conceptual schemas with dynamic constraints. In: 11th Int. Symposium on Temporal Representation and Reasoning (TIME 2004). IEEE Computer Society, Los Alamitos (2004); also in Proc. of the 2004 Int. Workshop on Description Logics (DL 2004)
Artale, A., Calvanese, D., Kontchakov, R., Zakharyaschev, M.: DL-Lite in the light of first-order logic. In: Proc. of AAAI 2007, pp. 361–366 (2007)
Artale, A., Franconi, E.: Temporal ER modeling with description logics. In: Akoka, J., Bouzeghoub, M., Comyn-Wattiau, I., Métais, E. (eds.) ER 1999. LNCS, vol. 1728, pp. 81–95. Springer, Heidelberg (1999)
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)
Artale, A., Franconi, E., Wolter, F., Zakharyaschev, M.: A temporal description logic for reasoning over conceptual schemas and queries. In: Flesca, S., Greco, S., Leone, N., Ianni, G. (eds.) JELIA 2002. LNCS(LNAI), vol. 2424, pp. 98–110. Springer, Heidelberg (2002)
Artale, A., Parent, C., Spaccapietra, S.: Modeling the evolution of objects in temporal information systems. In: Dix, J., Hegner, S.J. (eds.) FoIKS 2006. LNCS, vol. 3861, pp. 22–42. Springer, Heidelberg (2006)
Artale, A., Parent, C., Spaccapietra, S.: Evolving objects in temporal information systems. Annals of Mathematics and Artificial Intelligence 50(1-2), 5–38 (2007)
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)
Artale, A., Cesarini, F., Soda, G.: Describing database objects in a concept language environment. IEEE Trans. on Knowledge and Data Engineering 8(2), 345–351 (1996)
Artale, A., Kontchakov, R., Lutz, C., Wolter, F., Zakharyaschev, M.: Temporalising tractable description logics. In: 14th International Symposium on Temporal Representation and Reasoning (TIME 2007). IEEE Computer Society Press, Los Alamitos (2007)
Artale, A., Lutz, C., Toman, D.: A description logic of change. In: Int. Joint Conference on Artificial Intelligence (IJCAI 2007), Hyderabad, India (January 2007)
Artale, A., Toman, D.: Decidable reasoning over timestamped conceptual models. In: Proc. of the 21st Int. Workshop on Description Logics (DL 2008), Dresden, Germany (May 2008)
Baader, F., Calvanese, D., McGuinness, D., Nardi, D., Patel-Schneider, P.F. (eds.): Description Logic Handbook: Theory, Implementation and Applications. Cambridge University Press, Cambridge (2002)
Berardi, D., Calvanese, D., De Giacomo, G.: Reasoning on UML class diagrams. Artificial Intelligence 168(1-2), 70–118 (2005)
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)
Calvanese, D., De Giacomo, G., Lembo, D., Lenzerini, M., Rosati, R.: Data complexity of query answering in description logics. In: Proc. of the 10th Int. Conf. on the Principles of Knowledge Representation and Reasoning (KR 2006), pp. 260–270 (2006)
Calvanese, D., De Giacomo, G., Lenzerini, M.: On the decidability of query containment under constraints. In: Proc. of the 17th ACM SIGACT SIGMOD SIGART Sym. on Principles of Database Systems (PODS 1998), pp. 149–158 (1998)
Calvanese, D., Lenzerini, M., Nardi, D.: Description logics for conceptual data modeling. In: Chomicki, J., Saake, G. (eds.) Logics for Databases and Information Systems. Kluwer, Dordrecht (1998)
Calvanese, D., Lenzerini, M., Nardi, D.: Unifying class-based representation formalisms. J. of Artificial Intelligence Research 11, 199–240 (1999)
Chomicki, J., Toman, D.: Temporal logic in information systems. In: Chomicki, J., Saake, G. (eds.) Logics for Databases and Information Systems, ch. 1. Kluwer, Dordrecht (1998)
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. Springer, Heidelberg (2008)
Etzion, O., Gal, A., Segev, A.: Extended update functionality in temporal databases. In: Etzion, O., Jajodia, S., Sripada, S. (eds.) Dagstuhl Seminar 1997. LNCS, vol. 1399, pp. 56–95. Springer, Heidelberg (1998)
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)
Franconi, E., Sattler, U.: A data warehouse conceptual data model for multidimensional aggregation. In: Proc. of the Workshop on Design and Management of Data Warehouses (DMDW 1999) (1999)
Gabbay, D., Kurucz, A., Wolter, F., Zakharyaschev, M.: Many-dimensional modal logics: theory and applications. Studies in Logic. Elsevier, Amsterdam (2003)
Gregersen, H., Jensen, J.S.: Conceptual modeling of time-varying information. Technical Report TimeCenter TR-35, Aalborg University, Denmark (1998)
Gregersen, H., Jensen, J.S.: Temporal Entity-Relationship models – a survey. IEEE Transactions on Knowledge and Data Engineering 11(3), 464–497 (1999)
Gupta, R., Hall, G.: An abstraction mechanism for modeling generation. In: Proc. of ICDE 1992, pp. 650–658 (1992)
Hall, G., Gupta, R.: Modeling transition. In: Proc. of ICDE 1991, pp. 540–549 (1991)
Hodkinson, I., Wolter, F., Zakharyaschev, M.: Decidable fragments of first-order temporal logics. Annals of Pure and Applied Logic 106, 85–134 (2000)
Horrocks, I., Patel-Schneider, P.F., van Harmelen, F.: From SHIQ and RDF to OWL: The making of a web ontology language. Journal of Web Semantics 1(1), 7–26 (2003)
Jensen, C.S., Clifford, J., Gadia, S.K., Hayes, P., Jajodia, S., et al.: The Consensus Glossary of Temporal Database Concepts. In: Etzion, O., Jajodia, S., Sripada, S. (eds.) Temporal Databases - Research and Practice, pp. 367–405. Springer, Heidelberg (1998)
Jensen, C.S., Snodgrass, R.T.: Temporal data management. IEEE Transactions on Knowledge and Data Engineering 111(1), 36–44 (1999)
Jensen, C.S., Soo, M., Snodgrass, R.T.: Unifying temporal data models via a conceptual model. Information Systems 9(7), 513–547 (1994)
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)
Parent, C., Spaccapietra, S., Zimanyi, E.: The MurMur project: Modeling and querying multi-representation spatio-temporal databases. Information Systems 31(8), 733–769 (2006)
Spaccapietra, S., Parent, C., Zimanyi, E.: Modeling time from a conceptual perspective. In: Int. Conf. on Information and Knowledge Management (CIKM 1998) (1998)
Spaccapietra, S., Parent, C., Zimanyi, E.: Conceptual Modeling for Traditional and Spatio-Temporal Applications—The MADS Approach. Springer, Heidelberg (2006)
Tauzovich, B.: Towards temporal extensions to the entity-relationship model. In: Proc. of the Int. Conf. on Conceptual Modeling (ER 1991). Springer, Heidelberg (1991)
Theodoulidis, C., Loucopoulos, P., Wangler, B.: A conceptual modelling formalism for temporal database applications. Information Systems 16(3), 401–416 (1991)
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Artale, A., Franconi, E. (2009). Foundations of Temporal Conceptual Data Models. In: Borgida, A.T., Chaudhri, V.K., Giorgini, P., Yu, E.S. (eds) Conceptual Modeling: Foundations and Applications. Lecture Notes in Computer Science, vol 5600. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02463-4_2
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DOI: https://doi.org/10.1007/978-3-642-02463-4_2
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