Abstract
This paper introduces tree multivalued dependencies (TMVDs) for XML documents by extending multivalued dependencies in relational databases and recent research about tree functional dependencies (TFDs). We show the existence of the TMVDs in XML documents that produce redundancies and update anomalies. Secondly, the precise definition of TMVDs is proposed, which is based on the tree structure and deep equality. Moreover, we introduce the concept of recomposition that is a reconstruction of an XML database by moving or adding nodes. The right side of TMVDs is characterized by single attribute and multiple attributes, for which there are different recompositions. In addition, the relationship between TFDs and TMVDs is investigated, and we demonstrate that a TMVD is a generalized TFD. Furthermore, we present a theorem showing the recomposition by TMVDs saves space. Finally, we exhibit a recomposition that is not equivalent to any relational data.
This research was made possible through funding from the Natural Sciences and Engineering Research Council of Canada.
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References
Arenas, M., Libkin, L.: A Normal Form for XML Documents. In: Proceedings of the 21st ACM SIGACT-SIGMOD-SIGART, Madison, USA, pp. 85–96 (2002)
Arenas, M., Libkin, L.: An Information-Theoretic Approach to Normal Forms for Relational and XML Data. In: Proceedings of the 22nd ACM SIGACT-SIGMODSIGART, San Diego, USA, pp. 15–26 (2003)
Armstrong, W.W., Delobel, C.: Decompositions and Functional Dependencies in Relations. ACM TODS 5(4), 404–430 (1980)
Beeri, C., Bernstein, P.A.: Computational Problems Related to the Design of Normal Form Relational Schemas. ACM TODS 4(1), 30–59 (1979)
Beeri, C.: On the Membership Problem for Functional and Multivalued Dependencies in Relational Databases. ACM TODS 5(3), 241–259 (1980)
Berge, C.: Graphs and Hypergraphs. North-holland publishing company, Amsterdam (1973)
Date, C.J.: An Introduction to Database Systems, 7th edn. Addison Wesley, Reading (2000)
Fagin, R.: Multivalued Dependencies and a New Normal Form for Relational Databases. ACM TODS 2(3), 262–278 (1977)
Fayyad, U., Uthurusamy, R.: Data Mining and Knowledge Discovery in Databases. Communication of the ACM 39(9), 24–25 (1996)
Fernandez, M., Atsuyuki, M., Suciu, D., Wang-Chiew, T.: Publishing Relational Data in XML: the SilkRoute Approach. IEEE Data Engineering Bulletin 24(2) (2001)
Goebel, M., Gruenwald, L.: A Survey of Data Mining and Knowledge Discovery Software Tools. SIGKDD Explorations 1(1), 20–33 (1999)
Goodrich, M.T., Tamassia, R.: Data Structures and Algorithms in Java. John Wiley and Sons Inc., Chichester (2001)
Harary, F.: Graph Theory, pp. 32–42. Addison-Wesley, Reading
Maier, D.: The Theory of Relational Databases. Computer Science Press, Rockville (1983)
Leanne, M.S., Saxton, L.V.: Measuring Changes in Streaming XML Documents. In: Sixth Joint Conference on Information Sciences, March 2002, pp. 232–234 (2002)
Suciu, D.: The XML Typechecking Problem. SIGMOD Record 31(1), 89–96 (2002)
Wong, L.: Normal Forms and Conservative Properties for Query Languages over Collection Types. In: Proceedings of the 12th ACM Symposium on Principles of Database Systems, May 1993, pp. 26–36 (1993)
Zaniolo, C., Melkanoff, M.A.: On the Design of Relational Database Schemata. ACM TODS 6(1), 1–47 (1981)
W3C and XML, http://www.w3c.org/xml
Extensible Markup Language, http://www.w3.org/TR/REC-xml
XML Query, http://www.w3.org/XML/Query
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Saxton, L.V., Tang, X. (2004). Tree Multivalued Dependencies for XML Datasets. In: Li, Q., Wang, G., Feng, L. (eds) Advances in Web-Age Information Management. WAIM 2004. Lecture Notes in Computer Science, vol 3129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27772-9_36
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DOI: https://doi.org/10.1007/978-3-540-27772-9_36
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