If D = {R1, R2} is a decomposition of R, and F is the set of functional…

2017

If D = {R1, R2} is a decomposition of R, and F is the set of functional dependencies on R, then which of the following ensures that the decomposition D is lossless (nonadditive)?

  1. A.

    ((R1 ∩ R2) → (R1 − R2)) ∈ F⁺

  2. B.

    ((R1 ∩ R2) → (R1 − R2)) ∉ F⁺

  3. C.

    ((R1 ∪ R2) → (R1 − R2)) ∈ F⁺

  4. D.

    ((R1 ∩ R2) → R1) ∈ F⁺

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Correct answer: A

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