[CSCI3170]L3sol.docx - CSCI3170 Classwork#L3 Name Student...

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abcd ab acd cd ac CSCI3170 Classwork (#L3) Name: Pass / Fail Student ID: 1. Consider the following relation and functional dependencies: R(a,b,c,d) F = {a b, c d} a) Give a BCNF decomposition of R. Please show your steps. Ans: Therefore, R(a,b,c,d) is decomposed into R 1 (a,b), R 2 (c,d) and R 3 (a,c) . b) Prove that your decomposition is a lossless-join decomposition. Ans: Consider the decomposition in two steps: Step 1: Decompose R(a,b,c,d) into R 1 (a,b) and R’(a,c,d) Since the common attribute between R 1 and R’ is a, and a is the key of R 1 , the decomposition is lossless-join. Step 2: Decompose R’(a,c,d) into R 2 (c,d) and R 3 (a,c) Since the common attribute between R
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  • Spring '19
  • Database normalization, Abe, cd

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