GATE CS 2015 Set 3 — Question 13
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Databases → Normalization → Functional Dependencies
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Question
Consider the relation
F = {,}
Which of the following is the trivial functional dependency in , where is closure of ?
X(P, Q, R, S, T, U) with the following set of functional dependenciesF = {,}
Which of the following is the trivial functional dependency in , where is closure of ?
Correct answer
(C) \P, S\ → \S\
Solution
A functional dependency
(A) (Non-trivial)
(B) (Non-trivial)
(C) (Trivial)
(D) (Non-trivial)Since trivial dependencies are always valid and included in the closure , option (C) is the correct answer.
X → Y is called trivial if .Checking the options:(A) (Non-trivial)
(B) (Non-trivial)
(C) (Trivial)
(D) (Non-trivial)Since trivial dependencies are always valid and included in the closure , option (C) is the correct answer.
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