A new normal form for nested relations

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Authors: Li-Yan Yuan, Z. Meral Özsoyoğlu

Tags: 1987, conceptual modeling

We consider nested relations whose schemes are structured as trees, called scheme trees, and introduce a normal form for such relations, called the nested normal form. Given a set of attributes U, and a set of multivalued dependencies (MVDs) M over these attributes, we present an algorithm to obtain a nested normal form decomposition of U with respect to M. Such a decomposition has several desirable properties, such as explicitly representing a set of full and embedded MVDs implied by M, and being a faithful and nonredundant representation of U. Moreover, if the given set of MVDs is conflict-free, then the nested normal form decomposition is also dependency-preserving. Finally, we show that if M is conflict-free, then the set of root-to-leaf paths of scheme trees in nested normal form decomposition is precisely the unique 4NF decomposition [9, 16] of U with respect to M.

Read the full paper here: https://dl.acm.org/doi/10.1145/320434.320436