Functional Dependencies and Normalization Exercise 1: Consider the following relation: Stock(#prod, #dep, pname, quantity) Determine the functional dependencies on Stock. For each of them, explain what they mean in plain English. Is Stock 3NF? Is Stock BCNF? Exercise 2: Consider the following relation: Plane(#plane, type, constructor, capacity, owner) Determine the functional dependencies on Plane. For each of them, explain what they mean in plain English. Is Plane 3NF? Is Plane BCNF? Exercise 3: Compute the attribute closure of XZA with respect to the following set of dependencies: F = {XZ => ZYB, YA -> GC, C -> W, B -> G, XZ -> G} Is the dependency XZA -> YB implied by F? Hint: Use the Armstrong axioms. Exercise 4: What are the properties of the BCNF decomposition algorithm? Explain lossless and dependency preservation with your own words. Apply the decomposition algorithm on Stock.

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Author:James Kurose, Keith Ross
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Functional Dependencies and Normalization

Exercise 1:

Consider the following relation:

Stock(#prod, #dep, pname, quantity)

Determine the functional dependencies on Stock. For each of them, explain what they mean in plain English.

Is Stock 3NF?

Is Stock BCNF?

Exercise 2:

Consider the following relation:

Plane(#plane, type, constructor, capacity, owner)

Determine the functional dependencies on Plane. For each of them, explain what they mean in plain English.

Is Plane 3NF?

Is Plane BCNF?

Exercise 3:

Compute the attribute closure of XZA with respect to the following set of dependencies:

F = {XZ => ZYB, YA -> GC, C -> W, B -> G, XZ -> G}

Is the dependency XZA -> YB implied by F?

Hint: Use the Armstrong axioms.

Exercise 4:

What are the properties of the BCNF decomposition algorithm? Explain lossless and dependency preservation with your own words.

Apply the decomposition algorithm on Stock.

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