Match the Armstrong's Axioms: List-1 List-2 I) Decomposition rule P) If α →…

2018

Match the Armstrong's Axioms:

List-1

List-2

I) Decomposition rule

P) If α → βγ,
Then α → β and α → γ.

II) Union rule

Q) If α → β, and γβ → δ,
Then αγ → δ.

III) Pseudotransitivity rule

R) If α → β and α → γ,
Then α → βγ.

IV) Augmentation rule

S) If α → β,
Then γα → γβ.

  1. A.

    I-Q, II-P, III-R, IV-S

  2. B.

    I-P, II-R, III-Q, IV-S

  3. C.

    I-P, II-Q, III-R, IV-S

  4. D.

    I-Q, II-P, III-S, IV-R

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Correct answer: B

Armstrong's Axioms define functional dependencies in database normalization. Decomposition (I) matches P, splitting βγ into separate dependencies.

Union (II) matches R, combining α → β and α → γ into a single dependency. Pseudotransitivity (III) matches Q, chaining dependencies via intermediate attributes.

Augmentation (IV) matches S, adding attributes to both sides of a dependency. The correct sequence is I-P, II-R, III-Q, IV-S.

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