EQUIVALENCE OF FUNCTIONAL DEPENDENCIES
You will be given a relation (R) with different functional dependency sets X,Y of that relation , you need to check whether one functional dependency is a subset of other (X⊇Y/ Y"⊇"X ) or both are equal (X=Y).
Consider X and Y are two FD sets for a relation R ,
1)If all FDs of X can be determined from FDs that are
present in Y, we can conclude that Y ⊇ X or X⊆ Y (Y covers X) .
2)If all FDs of Y can be determined from FDs that are present in X, we can conclude X ⊇ Y or Y⊆ X (X covers Y).
3)If 1 and 2 are satisfied then ,we can say X=Y or X and Y are equivalent .
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