Question

if a minimal cover has 10 functional dependencies, any set of 12 functional dependencies cannot be...

if a minimal cover has 10 functional dependencies, any set of 12 functional dependencies cannot be a minimal cover.

Is this true or false? Why?

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Answer #1

if a minimal cover has 10 functional dependencies, any set of 12 functional dependencies cannot be a minimal cover.

False

Reason:

  • If a minimal cover has 10 functional dependencies, any set of 12 functional dependencies may be a minimal cover.
  • Minimal cover has 10 functional dependencies but the actual FDs are more than Minimal cover of 10 FDs is possible.
  • So all possible FD's are not minimal FD, So do remove of redundendy(Remove extraneous attributes) to get minimal functional dependencies.
  • So after remove extraneous attributes it may be a minimal cover.
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