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An Algebraic Framework for Schema Matching

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Advances in Web-Age Information Management (WAIM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3739))

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Abstract

It is well known that a formal framework for the schema matching problem (SMP) is important because it facilitates the building of algorithm model and the evaluation of algorithms. First, based on universal algebra, we propose a meta-meta structure for schema. This definition has a distinctive feature: it is able to describe any particular style of schemas, and transforms a schema and other matching information into a finite structure over specific signature. Then, we formulize SMP as a schema homomorphism problem, and prove that SMP is equivalent to finding a semantic homomorphism from one schema to another. These results lead to the main contribution of this paper: an algebraic framework for SMP. Thirdly, we show a classification of schema matching based on the algebraic framework.

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References

  1. Alagić, S., Bernstein, P.A.: A model theory for generic schema management. LNCS, vol. 2497, pp. 228–246. Springer, Heidelberg

    Google Scholar 

  2. Bunke, H.: Graph matching: Theoretical foundations, algorithms, and applications. In: Proc. Vision Interface, pp. 82–88 (2000)

    Google Scholar 

  3. Doan, A., Domingos, P., Halevy, A.: Learning to Match the Schemas of Data Sources: A Multistrategy Approach. Machine Learning (50), 279–301 (2003); Kluwer Academic Publishers Manufactured in The Netherlands

    Google Scholar 

  4. Dubhashi, D.P.: Complexity of Logical Theories. Department of Computer Science, University of Aarhus. BRICS LS-95-5, ISSN 1395-2048 (1995)

    Google Scholar 

  5. Federa, T., Madelaineb, F., Stewartc, I.A.: Dichotomies for classes of homomorphism problems involving unary functions. Theoretical Computer Science (314), 1–43 (2004)

    Google Scholar 

  6. Hell, P.: Algorithmic aspects of graph homomorphisms, Combinatorics. London Math. Society Lecture Note Series, vol. 307, pp. 239–276. Cambridge University Press, Cambridge (2003)

    Google Scholar 

  7. Hull, R.: Managing semantic heterogeneity in databases: A theoretical perspective. In: PODS 1997, pp. 51–61 (1997)

    Google Scholar 

  8. Madhavan, J., Bernstein, P.A., Rahm, E.: Generic schema matching with cupid. In: VLDB 2001 (2001)

    Google Scholar 

  9. Melnik, S.: Generic model management-concepts and algorithms. LNCS, vol. 2967. Springer, Heidelberg (2004)

    Google Scholar 

  10. Miller, R.J., Ioannidis, Y.E., Ramakrishnan, R.: Schema equivalence in heterogeneous systems: Bridging theory and practice. Information Systems 19(1), 3–31 (1994)

    Article  Google Scholar 

  11. Mugnier, M.L.: Knowledge representation and reasonings based on graph homomorphism. In: Ganter, B., Mineau, G.W. (eds.) ICCS 2000. LNCS (LNAI), vol. 1867, pp. 172–192. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  12. Paolini, P., Pelagatti, G.: Formal Definition of Mappings in a Data Base. In: Proc. ACM SIGMOD Intl. Conf. on Management of Data, pp. 40–46 (1977)

    Google Scholar 

  13. Rahm, E., Bernstein, P.A.: A survey of approaches to automatic schema matching. The VLDB Journal (10), 334–350 (2001)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhang, Z., Che, H., Shi, P., Sun, Y., Gu, J. (2005). An Algebraic Framework for Schema Matching. In: Fan, W., Wu, Z., Yang, J. (eds) Advances in Web-Age Information Management. WAIM 2005. Lecture Notes in Computer Science, vol 3739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11563952_66

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  • DOI: https://doi.org/10.1007/11563952_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29227-2

  • Online ISBN: 978-3-540-32087-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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