SQL Transactions Exercises Perform the test for the non additive join property (lossless join) for the relation R(A 1 , A 2 , A 3 , A 4 , A 5 ), and the decompositions D a , D b , D c , D d and set of functional dependencies F given below Ignore attributes that are not mentioned in each subsection (e g , you can ignore absence of A 4 in D d , test the join between R 1 and R 2 ) D a R 1 (A 1 , A 2 ) , R 2 (A 3 , A 4 , A 5 ) D b R 1 (A 3 , A 4 ) , R 2 (A 4 , A 5 ) D c R 1 (A 1 , A 5 ) , R 2 (A 4 , A 5 ) D d R 1 (A 1 , A 2 , A 3 ) , R 2 (A 1 , A 2 , A 5 ) F A 1 A 4 , A 4 A 5 , A 3 A 4 Does the decomposition D a have the non additive join property Explain why or why not Does the decomposition D b have the non additive join property Explain why or why not Does the decomposition D c have the non additive join property Explain why or why not Does the decomposition D d have the non additive join property Explain why or why not

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Question: SQL Transactions Exercises Perform the test for the non-additive join property (lossless join) for the relation R(A 1 , A 2 , A 3 ,

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 D_a, D_b, D_c, D_d 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 D_d, test the join between R₁ and R₂):

D_a = { R₁(A₁, A₂) , R₂(A₃, A₄, A₅) }

D_b = { R₁(A₃, A₄) , R₂(A₄, A₅) }

D_c = { R₁(A₁, A₅) , R₂(A₄, A₅) }

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

F = { A₁->A₄ , A₄->A₅ , A₃->A₄ }

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

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

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

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

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