Computer Science · Database Management Systems
An analytical evaluation applies Heath's Theorem to the relation R(A, B, C) governed by the functional dependency A → B. The relation is decomposed into two separate models: Model I: Decomposed into R1(A, B) and R2(A, C) Model II: Decomposed into R1(A, B) and R2(B, C) Determine the exact number of LOSSLESS decompositions among these models, and identify the specific intersection attribute that satisfies the super key condition for the lossless model(s).
- 1Exactly 2 models are lossless; the satisfying intersection attributes are {A} and {B}.
- 2Exactly 1 model is lossless; the satisfying intersection attribute is {B}.
- 3Exactly 1 model is lossless; the satisfying intersection attribute is {A}.✓
- 4Exactly 0 models are lossless; no intersection attribute satisfies the condition.
Correct answer
Exactly 1 model is lossless; the satisfying intersection attribute is {A}.
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