Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let F be a set of functional dependencies giv...
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Let F be a set of functional dependencies given as
F = {A->BC, B->C, A->B, AB->C}
Find minimum cover for F
F = {A->BC, B->C, A->B, AB->C}
Find minimum cover for F
- a){A->C, B->C}
- b){AB->B, B->C}
- c){A->B, B->C}
- d){A->BC, AB->C}
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let F be a set of functional dependencies given asF = {A->BC, B->...
Initialization: {A->B, A->C,B->C,AB->C}
Consider A->B
G={A->C, B->C, AB->C}=G’ SINCE A->B ∉ G’, A->B STAYS
CONSIDER A->C
G={A->B, B->C, AB->C}=G’ SINCE A->B ∈ G’, A->C REMOVED
CONSIDER B->C
G={A->B, AB->C}=G’ SINCE B->C ∉ G’, B->C STAYS
CONSIDER AB->C
G={A->B, B->C}=G’ SINCE AB->C ∈ G’, AB->C REMOVED
THUS
G={A->B, B->C}
Consider A->B
G={A->C, B->C, AB->C}=G’ SINCE A->B ∉ G’, A->B STAYS
CONSIDER A->C
G={A->B, B->C, AB->C}=G’ SINCE A->B ∈ G’, A->C REMOVED
CONSIDER B->C
G={A->B, AB->C}=G’ SINCE B->C ∉ G’, B->C STAYS
CONSIDER AB->C
G={A->B, B->C}=G’ SINCE AB->C ∈ G’, AB->C REMOVED
THUS
G={A->B, B->C}
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