Given
Key Attribute : A , I
Non Key Attribute: B ,C ,D, E ,F ,G ,H ,J, K
Answer(1) NO, Relation R is not in BCNF.
Reason :
Partial Dependency is exist in the FD's.
Given below 3 FD's violate 2NF condition. so They are NOT in 2NF , 3NF and BCNF
? → ? ? ? ?,
? → ? ? ?,
? → ?,
Answer(2). Because of partial depency in FD's , Relaion R is not in BCNF.
Decomposition: ? = {?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?}
R1(A I K J) R2 ( AE BCDFGH)
? → J ? ? → ? ? → ? ? ? ?, ? → ? ? ?,
R1(A I K ) R11(I J) R2 ( A BCDE) R22 ( E FGH)
? ? → ? ? → J ? → ? ? ? ?, ? → ? ? ?
Answer(3). Yes the decomposition in step 2 is dependency preserving.
R1(A I K ) | R11(I J) | R2 ( A BCDE) | R22 ( E FGH) |
? ? → ? | ? → J | ? → ? ? ? ?, | ? → ? ? ? |
all dependency are preserved
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