Theory of Functional Dependencies

10/20/97


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Table of Contents

Theory of Functional Dependencies

Notation

Example relations

Functional Dependencies

Armstrong’s Inference Axioms for FDs

Armstrong’s Axioms

Example derivation sequence

Another Example

Yet Another Example

Closure of a Set of FDs

Keys

Closure of a set of attributes under a set of FDs

Computing closures

Example closure

Testing Membership

Testing Equivalence of two FD sets

Covers of FD sets

Testing equivalence of sets of FDs (2)

Nonredundant covers

Nonredundant covers (2)

Nonredundant covers (3)

Nonredundant covers (4)

Author: Marek