Here's a relation (R), its attributes and its functional dependencies (F): R(A, B, C, D, E)...
- Here's a relation (R), its attributes and its functional dependencies (F):
R(A, B, C, D, E)
C D → B
A → D
D → C
E → C
- What is the closure of AB ({AB}+)?
- What is the closure of F (F+)? [ set of closures for all LHS][each LHS on one line]
- What is the minimal set (cover) for F?
- Provide a key for relation R (a minimal set of attributes that can determine all attr.)
- Decompose the above relation using the Boyce-Codd Normal Form (BCNF) decomposition. Consider the key of the relation as you stated in part D, and Please provide your reason for each decomposition using the existing Functional dependencies.
Homework Answers
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Here's a relation (R), its attributes and its functional
dependencies (F):
R(A, B, C, D, E)...
Consider a relation R(A,B,C,D,E) with the following functional dependencies: 8. AB C BCD CDE DEA (a) Specify all candidate keys for R. (b) Which of the given functional dependencies are Boyce-Codd No...
Consider a relation R(A,B,C,D,E) with the following functional dependencies: 8. AB C BCD CDE DEA (a) Specify all candidate keys for R. (b) Which of the given functional dependencies are Boyce-Codd Normal Form (BCNF) violations'? (c) Give a decomposition of R into BCNF based on the given functional dependencies. (d) Give a different decomposition of R into BCNF based on the given functional dependencies. (e) Give a decomposition of R into 3NF based on the given functional dependencies.
Consider a...
Consider a relation R(A,B,C,D,E) with the following functional dependencies: 8. AB C BCD CDE DEA (a)...
Consider a relation R(A,B,C,D,E) with the following functional dependencies: 8. AB C BCD CDE DEA (a) Specify all candidate keys for R. (b) Which of the given functional dependencies are Boyce-Codd Normal Form (BCNF) violations'? (c) Give a decomposition of R into BCNF based on the given functional dependencies. (d) Give a different decomposition of R into BCNF based on the given functional dependencies. (e) Give a decomposition of R into 3NF based on the given functional dependencies.
Language: SQL - Normalization and Functional Dependencies Part 4 Normalization and Functional Dependencies Consider the following relation R(A, B, C, D)and functional dependencies F that hold o...
Language: SQL - Normalization and Functional
Dependencies
Part 4 Normalization and Functional Dependencies Consider the following relation R(A, B, C, D)and functional dependencies F that hold over this relation. F=D → C, A B,A-C Question 4.1 (3 Points) Determine all candidate keys of R Question 4.2 (4 Points) Compute the attribute cover of X-(C, B) according to F Question 43 (5 Points) Compute the canonical cover of F.Show each step of the generation according to the algorithm shown in class....
Consider relation R(A,B,C,D) with functional dependencies: B → C D→ A BA → D CD →...
Consider relation R(A,B,C,D) with functional dependencies: B → C D→ A BA → D CD → B Decompose R into Boyce-Codd Normal Form (BCNF). Clearly show all intermediary steps.
Consider a relation R with five attributes A, B, C, D, and E. You are given...
Consider a relation R with five attributes A, B, C, D, and E. You are given the following functional dependencies: A → B, BC→E, and ED→A. (a) Is R in BCNF? If it is not, decompose it into a collection of BCNF relations. 2: BCNF and 3NF (3 points) Consider the relation schema R with attributes A, B, C, and D and the following functional dependencies: AB→C, AC→B, B→D, BC→A. (a) Is R in BCNF? If it is not, decompose...
We have the attributes: {A, B, C, D, E, F, G}. Consider the following functional dependencies...
We have the attributes: {A, B, C, D, E, F, G}. Consider the following functional dependencies F → C, D E → B B, D, G → C G → B, D B, G → D, E F → E B, E → A, F F, G → C, D The minimal keys are: {G} Determine whether these functional dependencies are in the following normal form(s): Third Normal form or Boyce Codd normal form
Question 1: Functional Dependencies [7 marks Consider a relation R on attributes (A, B, C, D,...
Question 1: Functional Dependencies [7 marks Consider a relation R on attributes (A, B, C, D, E, F,G, H) and the following functional dependen- cies. B →G C →D DE →GC → EF DEF → H (a) What is the closure of [F, G, Hy? (b) List all of the candidate keys of R under the dependencies above. (c) List all of the FDs above that are 3NF violations (d) List all of the FDs above that are BCNF violations....
Consider a relation schema R with attributes ABCDEFGH with functional dependencies S: S={B→CD, BF→H, C→AG, CEH→F,...
Consider a relation schema R with attributes ABCDEFGH with functional dependencies S: S={B→CD, BF→H, C→AG, CEH→F, CH→B} Employ the BCNF decomposition algorithm to obtain a lossless decomposition of R into a collection of relations that are in BCNF. Make sure it is clear which relations are in the final decomposition and project the dependencies onto each relation in that final decomposition.
5c. Consider the relation R(ABCDE) with the set of functional dependencies F={BE→D, DE→A, AD→C, B→E}. Using...
5c. Consider the relation R(ABCDE) with the set of functional dependencies F={BE→D, DE→A, AD→C, B→E}. Using decomposition, find a lossless, dependency preserving, BCNF set of relations for R, if such exists. Be sure to identify the projections of the functional dependencies onto the resulting relations at each stage of the decomposition.
Consider a relational schema R(A, B, C, D) with a set of functional dependencies F =...
Consider a relational schema R(A, B, C, D) with a set of functional dependencies F = { D --> AB, C --> B, CD --> A, AD --> B, B --> A } a. Compute { B, C }+ b. Show that { C, D } is a candidate key of R. c. Is { R1(A, B, C), R2(C, D ) } a lossless-join decomposition? Why? d. Compute a minimal cover Fmin of F.
Consider a relation R(A,B,C,D,E) with the following functional dependencies: 8. AB C BCD CDE DEA (a) Specify all candidate keys for R. (b) Which of the given functional dependencies are Boyce-Codd Normal Form (BCNF) violations'? (c) Give a decomposition of R into BCNF based on the given functional dependencies. (d) Give a different decomposition of R into BCNF based on the given functional dependencies. (e) Give a decomposition of R into 3NF based on the given functional dependencies.
Consider a...
Consider a relation R(A,B,C,D,E) with the following functional dependencies: 8. AB C BCD CDE DEA (a) Specify all candidate keys for R. (b) Which of the given functional dependencies are Boyce-Codd Normal Form (BCNF) violations'? (c) Give a decomposition of R into BCNF based on the given functional dependencies. (d) Give a different decomposition of R into BCNF based on the given functional dependencies. (e) Give a decomposition of R into 3NF based on the given functional dependencies.
Language: SQL - Normalization and Functional
Dependencies
Part 4 Normalization and Functional Dependencies Consider the following relation R(A, B, C, D)and functional dependencies F that hold over this relation. F=D → C, A B,A-C Question 4.1 (3 Points) Determine all candidate keys of R Question 4.2 (4 Points) Compute the attribute cover of X-(C, B) according to F Question 43 (5 Points) Compute the canonical cover of F.Show each step of the generation according to the algorithm shown in class....
Question 1: Functional Dependencies [7 marks Consider a relation R on attributes (A, B, C, D, E, F,G, H) and the following functional dependen- cies. B →G C →D DE →GC → EF DEF → H (a) What is the closure of [F, G, Hy? (b) List all of the candidate keys of R under the dependencies above. (c) List all of the FDs above that are 3NF violations (d) List all of the FDs above that are BCNF violations....
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