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Question

Consider relation schema R(A, B, C, D) and the two sets of fucntional dependencies :

H={AB, BA, ABC, ACD, BC}
G={CAB, BAD, BD, DBC}

Which of the following is true ?

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Solution

Check G covers H:
1. A B cannot be derived from G which is present in H,So G not covers H

Check H covers G
1. CAB can be derived from H i.e.AB then CACB.

2. BAD can be derived from H i.eAB, BAC. ACD then B D and AB

3 BD can be derived from H i.e. AB, BAC, ACD then BD.
4. DBC can be derived from H i.e. BC then DBDC.
Hence H covers G

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