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Show the following rule for MVD's. The attributes

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Answer #1
  • For the relation R whose schema is the set of attributes {A, B, C, D} with functional dependencies A → B and B → C, the result obtained by decomposing R according to A → B and the result obtained by expanding the BCNF violation to A → BC is same.
  • It is same because both A → B and A → BC has A on the left side and part of the decomposition process involves finding {A}+ to form one decomposed relation and A plus the rest of attributes not in {A}+ as the second relation.
  • The decomposed relations in both the cases are same.
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