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When is a Join Dependency considered trivial?

Question

When is a Join Dependency considered trivial?

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Solution

A Join Dependency (JD) is considered trivial if it satisfies two conditions:

  1. The JD is between a relation schema R and all its subsets. In other words, if we have a relation schema R(A, B, C) then a JD {A, B} -> {C} is considered trivial.

  2. The union of all the subsets in the JD equals the original relation schema. Using the same example, the union of {A, B} and {C} equals the original relation schema R(A, B, C).

If these two conditions are met, then the JD is considered trivial. This is because it doesn't provide any new information about the relation schema that we didn't already know.

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