Consider the following set F of functional dependencies on the relation schema (A, B, C, D, E, G): A → BCD BC → DE B → D D → A a. Compute B+. b. Prove (using Armstrong’s axioms) that AG is a superkey. c. Compute a canonical cover for this set of functional dependencies F; give each step of your derivation with an explanation. d. Give a 3NF decomposition of the given schema based on a canonical cover. e. Give a BCNF decomposition of the given schema using the original set F of functional dependencies.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider the following set F of functional dependencies on the relation schema (A, B, C, D, E, G):

  • A → BCD
  • BC → DE
  • B → D
  • D → A

a. Compute B+.

b. Prove (using Armstrong’s axioms) that AG is a superkey.

c. Compute a canonical cover for this set of functional dependencies F; give each step of your derivation with an explanation.

d. Give a 3NF decomposition of the given schema based on a canonical cover.

e. Give a BCNF decomposition of the given schema using the original set F of functional dependencies.

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