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(a) Given R(ABCDEF) and the set F={AB,CDF,ACE,DF}. Check if the decomposition R1(ACE), R2(CD), R3(DF) and R4(AB) satisfy the decomposition rules. [2] (b) State Armstrong axioms.

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(a) Given R(ABCDEF) and the set F={AB,CDF,ACE,DF}. Check if the decomposition R1(ACE), R2(CD), R3(DF) and R4(AB) satisfy the decomposition rules. [2] (b) State Armstrong axioms. Derive other axioms using Armstrong axioms. Comment on Completeness and Soundness properties of these axioms. [2]

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