08 Jun Compute the closure sets of R
Question
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Problem I:
Consider the following schema of R (A, B, C, D) with functional dependencies:
A -> B, B-> C, and B->D
1- Compute the closure sets of R.
2- Find all non-trivial dependencies.
3- What are the candidate keys of R?
4- What is the highest normal form of R?
Problem II:
Suppose you have a relation schema about teaching classes that has the following attributes: Class, Instructor, Time and Room
Based on your understanding of this scenario, what functional dependencies can you identify that hold on this relation?
Problem III:
Research the definition of a “minimal cover”. Explain it in your own words and give an example.
Problem IV:
Consider the following relation R with sample data where names are unique:
| MOTHER | CHILD | GIFT | DATE | OCCASION |
| Linda | Jim | Bike | 1-20-2009 | Birthday |
| Linda | Jim | Sweater | 12-25-2008 | Christmas |
| Linda | Jim | CD | 3-8-2007 | Grade Report |
| Linda | Mary | Game | 12-25-2008 | Christmas |
| Linda | Mary | Book | 2-20-2006 | Birthday |
| Susan | David | CD | 7-20-2009 | Birthday |
| Susan | David | Shoes | 8-30-2009 | Back to School |
1- What functional dependencies can you conclude from the data above?
2- What is the highest normal form R is in?
3- If R is not in BCNF, then decompose R to become in BCNF and show that all functional dependencies still hold.
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