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.
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
Section: Chapter Questions
Problem 1PE
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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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