A complete axiomatization for a large class of dependencies in Relational datatbases

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Abstract

Relational database theory has discovered complete axiomatizations for functional and multivalued dependencies. However, a database design system that makes use of dependencies declared by the user must deal with some more general kinds of dependencies than these - at least with embedded multivalued dependencies. Yet no axiomatization for embedded multivalued dependencies is known. In this paper, we define a more general class of dependencies, called "template dependencies" and give a complete axiomatization for these. We then discuss the interaction between functional dependencies and template dependencies.

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Sadri, F., & Ullman, J. D. (1980). A complete axiomatization for a large class of dependencies in Relational datatbases. In Proceedings of the Annual ACM Symposium on Theory of Computing (Vol. 1980-April, pp. 117–122). Association for Computing Machinery. https://doi.org/10.1145/800141.804659

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