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Building inheritance graphs in object database design

  • Object-Oriented Databases 1
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Database and Expert Systems Applications (DEXA 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1134))

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Abstract

In this paper, object database schema design is addressed through the problem of designing the inheritance graph. We propose a method, called iO2, for building the inheritance graph of an O2 database schema. The iO2 method is based on the Galois lattice data structure. It encompasses three steps: a (first) construction step, a (second) optimization step, and a (final) generation step. This paper focuses on the two latter steps. The optimization step builds the Galois inheritance graph from the Galois graph (delivered by the construction step) of the finite binary relation associating properties to entity and relationship types. We define a new optimization algorithm which eliminates redundancies from the Galois graph. The generation step yields the O2 inheritance graph from the Galois inheritance graph.

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References

  1. M. Adiba, and C. Collet, “Objets et bases de données: le SGBD O2”. Ed. Hermes, 1993.

    Google Scholar 

  2. E. Amiel, M. J. Bellosta, E. Dujardin, and E. Simon, “Supporting exceptions to behavioral schema consistency to ease schema evolution in OODMS”. In Proceedings of the 20th International Conference on Very Large Databases-VLDB94., Chile 1994, pp. 108–119.

    Google Scholar 

  3. P. Baptiste, and J. Favrel, “Résolution de problèmes d'ordonnancement par les treillis de Galois et les graphes d'intervalle”. RAIRO-Automatique/Systems Analysis and Control, 1984, Vol. 18, N∘ 4, pp. 405–416.

    Google Scholar 

  4. S. Bergamashi, and C. Sartori, “On taxonomic reasoning in conceptual design”. ACM Transactions on Database Systems, Vol. 17, N∘ 3, September 1992, pp. 385–422.

    Article  Google Scholar 

  5. G. Booch, “Object-oriented design with applications”. Benjamin/Cumming Company, 1991.

    Google Scholar 

  6. J. P. Bordat, “Calcul pratique du treillis de Galois d'une correspondance”. Mathématiques et Sciences Humaines, N∘ 96, 1986, pp. 31–47.

    Google Scholar 

  7. J.P. Bordat, “L'algorithmique combinatoire d'ordres finis”. Phd Thesis, Université de Montpellier II, 1992.

    Google Scholar 

  8. R. J. Brachman, “What ISA is and isn't”. Analysis of Taxonomic Links in semantic Network, Computer N∘10, 1983.

    Google Scholar 

  9. L. Cardelli, “A semantics of multiple inheritance”. Readings in Object-Oriented Database Systems, S. B. Zdonik and D. Maier (Eds.), 1990. pp. 51–67.

    Google Scholar 

  10. C. Carpineto, and G. Romano, “GALOIS: An order-theoretic approach to conceptual clustering”. Proceedings of the Machine Learning Conference, 1993, pp. 33–40.

    Google Scholar 

  11. P. Coad, and E. Yourdon, “Object-oriented analysis”. Yourdon Press Computing Series, 1990.

    Google Scholar 

  12. W. R. Cook, and J. Palsberg, “A denotational semantics of inheritance and its correctness”. In proceedings of the International Conference On Object-Oriented Programming Languages and Applications-OOPSLA89, 1989, pp. 433–443.

    Google Scholar 

  13. W. R. Cook, “Interfaces and specifications for the smaltalk-80 collection class”. In proceedings of the International Conference On Object-Oriented Programming Languages and Applications-OOPSLA92, 1992, pp. 1–15.

    Google Scholar 

  14. C. Delcourt, and R. Zicari, “The design of an integrity consistency checker (ICC) for an object oriented database system”. European Conference on Object Oriented Programming-ECOOP 91. LNCS N∘ 512, Geneva, Switzerland, July 1991. pp. 97–117.

    Google Scholar 

  15. R. Ducournau, M. Habib, M. Huchard, and M. L. Mugnier, “Monotonic conflict resolution mechanisms for inheritance”. In proceedings of the International Conference On Object-Oriented Programming Languages and Applications-OOPSLA92, 1992, pp. 16–24.

    Google Scholar 

  16. A. Formica, and M. Missikoff, “Correctness of ISA hierarchies in object-oriented database schemas”. In proceedings of the 4th International Conference on Extending DatabaseTechnology-EDBT 94, LNCS N∘ 779, Cambridge, United Kingdom, March 1994, pp. 231–244.

    Google Scholar 

  17. R. Godin, and H. Mili, “Building and maintaining analysis-level class hierarchies using Galois lattices”. In Proceedings of the International Conference On Object-Oriented Programming Languages and Applications-OOPSLA 93, 1993, pp. 394–410.

    Google Scholar 

  18. R. Godin, G. Mineau, R. Missaoui, and H. Mili, “Conceptual clustering methods based on Galois lattices and applications”. French Review on Artificial intelligence, Vol. 9, N∘ 2, 1995, pp. 105–137.

    Google Scholar 

  19. R. Godin, G. W. Mineau, and R. Missaoui, “Incremental structuring of knowledge bases”. In proceedings of the International KRUSE Symposium, Callifornia, 1995, pp. 179–193.

    Google Scholar 

  20. R. Godin, R. Missaoui, and H. Alaoui, “Incremental concept formation algorithms based on Galois (concept) lattices”. In Computational Intelligence, Vol. 11, N∘2, 1995, pp. 246–265.

    Google Scholar 

  21. A. Guénoche, “Construction du treillis de Galois d'une relation binaire”. Mathématiques et Sciences Humaines, N∘ 109, 1990, pp. 41–53.

    Google Scholar 

  22. R. Johnson, and B. Foote, “Designing reusable classes”. Journal of Object-Oriented Programming, June/July, 1988, pp-22–35.

    Google Scholar 

  23. T. Korson, and J. D. McGregor, “Technical criteria for the specification and evaluation of object-oriented Libraries”. Software Engineering Journal, March 1992, pp. 85–94.

    Google Scholar 

  24. C. Lécluse, P. Richard, and F. Velez “O2, an object-oriented data model”. In proceedings of the ACM SIGMOD International Conference On Management of Data. June 1988, pp. 424–433.

    Google Scholar 

  25. K.J. Lieberherr, P.Bergstein, and I.Silvalep, “From objects to classes: algorithms for optional object-oriented design”. Journal of Software Engineering. July 1991, pp. 205–228.

    Google Scholar 

  26. M. Missikoff, and M. Scholl, “An algorithm for insertion into a lattice: application to type classification”. Foundations of Data Organization and Algorithms, 3rd International Conference-FODO89, Paris, France, June 1989, LNCS N∘ 367, pp. 64–82.

    Google Scholar 

  27. P. Poncelet, M. Teisseire, R. Cicchetti, and L. Lakhal, “Towards a formal approach for object-oriented database design”. In Proceedings of the 19th International Conference on Very Large Databases-VLDB 93, Dublin, Ireland. August 1993, pp. 278–289.

    Google Scholar 

  28. J. Rumbaugh, M. Blaha, W. Premerlani, F. Eddy, and W. Lorensen, “Object oriented modeling and design”. Prentice Hall, 1991.

    Google Scholar 

  29. R. Taouil, L. Lakhal, and J.P. Bordat, “Evolutive building of Galois lattices”. Technical Report of LIMOS, Clermont-Ferrand University, Avril 1996.

    Google Scholar 

  30. R. Wille, “Restructuring lattice theory: An Approach Based on Hierarchies of Concepts”. In Ordered Sets, I. Rival (Eds.), 1982, pp. 445–470.

    Google Scholar 

  31. R. Wille, “Concept lattices and conceptual knowledge systems”. Computers Math. Applic. Vol. 23, No. 6–9, 1992, pp. 493–515.

    Article  Google Scholar 

  32. A. Yahia, “The Galois inheritance graph and its properties“. Technical Report of LIMOS, Clermont-Ferrand University, March 1995.

    Google Scholar 

  33. A. Yahia, “Restructuring the Galois inheritance graph“. Technical Report of LIMOS, Clermont-Ferrand University, September 1995.

    Google Scholar 

  34. A. Yahia, L. lakhal, R. Cicchetti, and J. P. Bordat, “iO2, an algorithmic method for building inheritance graphs in object database design”. To appear in ER '96, 15th International Conference on conceptual modelling, Cottbus, Germany Oct. 7–10, 1996.

    Google Scholar 

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Roland R. Wagner Helmut Thoma

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© 1996 Springer-Verlag Berlin Heidelberg

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Yahia, A., Lakhal, L., Cicchetti, R. (1996). Building inheritance graphs in object database design. In: Wagner, R.R., Thoma, H. (eds) Database and Expert Systems Applications. DEXA 1996. Lecture Notes in Computer Science, vol 1134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0034666

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  • DOI: https://doi.org/10.1007/BFb0034666

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  • Online ISBN: 978-3-540-70651-9

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