Given a relational schema, R(A, B, C), and set of functional dependencies over R, F = {A → B, AB → C}. prove or disprove the following statements. (a) A is a superkey for R. (b) A is a minimal key for R. (c) Let K be a minimal key for R. Then KU{A} is a superkey for R.

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
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Given a relational schema, R(A, B, C), and set of functional dependencies over R,
F = {A → B, AB → C}. prove or disprove the following statements.
%3D
(a) A is a superkey for R.
(b) A is a minimal key for R.
(c) Let K be a minimal key for R. Then KU{A} is a superkey for R.
(d) BC is a superkey for R.
(e) If B satisfies the UNIQUE constraint, then so does A.
(f) If A safisfies the UNIQUE constraint, then so does B.
Transcribed Image Text:Given a relational schema, R(A, B, C), and set of functional dependencies over R, F = {A → B, AB → C}. prove or disprove the following statements. %3D (a) A is a superkey for R. (b) A is a minimal key for R. (c) Let K be a minimal key for R. Then KU{A} is a superkey for R. (d) BC is a superkey for R. (e) If B satisfies the UNIQUE constraint, then so does A. (f) If A safisfies the UNIQUE constraint, then so does B.
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