MIS41270 Data Management and Mining Individual Assignment Section 2 </b

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1. Consider a relation R with attributes ABCDEF GHI with functional dependencies S: S = { AEG → F, B → AD, AG → HI, BG → D } (a) State which of the given FDs violate BCNF. (b) Employ the BCNF decomposition algorithm to obtain a lossless and redundancy-preventing decomposition of relation R into a collection of relations that are in BCNF. Make sure it is clear which relations are in the final decomposition, and don’t forget to project the dependencies onto each relation in that final decomposition. Because there are choice points in the algorithm, there may be more than one correct answer. List the final relations in alphabetical order (order the attributes alphabetically within a relation, and order the relations alphabetically). (c) Does your schema preserve dependencies? Explain how you know that it does or does not. (d) Use the Chase Test to show that your schema is a lossless-join decomposition. (This us guaranteed by the BCNF algorithm, but it’s a good exercise.)