Question: Given a relation schema R = (A,B,C,D,E,F,G), and a set of functional dependencies FD = {A -> BCDEFG, CE -> A, BF -> EG }

Given a relation schema R = (A,B,C,D,E,F,G), and a set of functional dependencies FD = {A -> BCDEFG, CE -> A, BF -> EG } held on R.

  1. (3 points) {CE} a candidate key of relation R? Justify your answer.
  2. (3 points) Is R in BCNF? If not, decompose it into smaller relations such that these smaller relations are in BCNF?
  3. (2 points) Is the decomposition a lossless-join decomposition? Justify your answer.

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