### Perform the test for the non-additive join property

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SQL Transactions Exercises

Perform the test for the non-additive join property (lossless join) for the relation R(A1, A2, A3, A4, A5), and the decompositions Da, Db, Dc, Dd and set of functional dependencies F given below. Ignore attributes that are not mentioned in each subsection (e.g., you can ignore absence of A4 in Dd, test the join between R1 and R2):

Da = { R1(A1, A2) , R2(A3, A4, A5) }

Db = { R1(A3, A4) , R2(A4, A5) }

Dc = { R1(A1, A5) , R2(A4, A5) }

Dd = { R1(A1, A2, A3) , R2(A1, A2, A5) }

F = { A1 ->A4 , A4->A5   , A3->A4 }

Does the decomposition Da have the non-additive join property? Explain why or why not.

Does the decomposition Db have the non-additive join property? Explain why or why not.

Does the decomposition Dc have the non-additive join property? Explain why or why not.

Does the decomposition Dd have the non-additive join property? Explain why or why not

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