Computational problems related to the design of normal form relational schemas

Author:

Beeri Catriel1,Bernstein Philip A.2

Affiliation:

1. Hebrew Univ., Jerusalem, Israel

2. Harvard Univ., Cambridge, MA

Abstract

Problems related to functional dependencies and the algorithmic design of relational schemas are examined. Specifically, the following results are presented: (1) a tree model of derivations of functional dependencies from other functional dependencies; (2) a linear-time algorithm to test if a functional dependency is in the closure of a set of functional dependencies; (3) a quadratic-time implementation of Bernstein's third normal form schema synthesis algorithm. Furthermore, it is shown that most interesting algorithmic questions about Boyce-Codd normal form and keys are NP -complete and are therefore probably not amenable to fast algorithmic solutions.

Publisher

Association for Computing Machinery (ACM)

Subject

Information Systems

Reference25 articles.

1. AHo A.V. HOPCROFT J.E. AND ULLMAN J.D. The Design and Analysis of Computer Algorithms. Addison-Wesley Reading Mass. I974. AHo A.V. HOPCROFT J.E. AND ULLMAN J.D. The Design and Analysis of Computer Algorithms. Addison-Wesley Reading Mass. I974.

2. On the membership problem for multivalued dependencies in relational databases. TR- 229, Dept. EE and Comptr. Sci., Princeton U., Princeton;BEERI C;N.J.,1977

3. A complete axiomatization for functional and multivalued dependencies in database relations

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