Gate2017 cs Q31

0. The following functional dependencies hold true for the relational schema R{V, W, X, Y, Z}:
V → W
VW → X
Y → VX
Y → Z
Which of the following is irreducible equivalent for this set of functional dependencies?

  • Option : A
  • Explanation :
    V → W,VW → X,Y → V,Y → X,Y → Z (W is extraneous)
    V → W,V → X,Y → V,Y → X,Y → Z
    ∴ Y → X is redundant
    ∴ {V → W,V → X,Y → V,Y → Z}
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