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Consider a relation R(A, B, C, D) with the functional dependencies {AB → C, C →...

Consider a relation R(A, B, C, D) with the functional dependencies {AB → C, C → D, D → A}. Does BC → A hold on R? Explain.   

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Answer #1

BC-->A holds in relation R

we have C-->D and D-->A functional dependencies

By transitive dependency

we can write C-->A

By augmentaion rule we can add additinal element on right hand and left hand

hence BC-> A hold in R

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