Given the following Schema S = (R, FD) where R = (A, B, C, D, E, F) and FD contains the following dependencies:
A -> BC
B ->C
C -> D
D ->E
C -> E
E -> F
DE -> F
C -> F
1. Find a minimal cover of F
2. Find a key for the schema
3. Find a 3N decomposition of the schema that satisfies the lossless join decomposition and dependency preservation properties
4. Find a BCNF decomposition of the schema




Given the following Schema S = (R, FD) where R = (A, B, C, D, E, F) and FD contains the following...
my choices for these are wrong.
10 points QUESTION 3 Given R=(A, B, C) is a schema and F = {2C-A AB) is a set of FDs that hold on R. Which of the following statements is not true? d=(AB. AC) is a decomposition of that is in BCNF. O Ris in 3NF O BC is a candidate key for R Ris in BCN 10 points QUESTION 4 Given R= (A. 3. CD. E) is a schema and F= (A...
Given the schema S= < { A,B,C,D,E,G,H }, F>, where F represents the following dependencies: AB→D A→D E→B E→C G→C E→A EB→GH H → A Find a minimal cover for this schema. Find a key for this schema. Find a third normal form decomposition for this schema. Find a BCN form decomposition for this schema.
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 the schema R=(A, B, C, D, E) and let the following set F of functional dependencies hold for R: F= {A → BC, CD → E, B D } Problem 3 Suppose that the schema R=(A, B, C, D, E) is decomposed into R/ - (A, B, C) and R=(A, D, E). Show if this decomposition is a lossless decomposition with respect to the given set of functional dependencies F.
Consider the following relation R = {A,B,C,D,E} and the following set of functional dependencies F = { A → BC CD → E B → D E → A} F = { A → BC CD → E B → D E → A} Give a lossless, dependency-preserving decomposition into 3NF of schema R
1. Given the schema R(A,B,C,D,E) with the functional
dependencies
F = { A → C,D D B, E B, C + D, E E → B,C } Is this schema in BCNF? If it is, prove it. If not, find a BCNF decomposition and then prove that the decomposition is in BCNF. You must prove each step carefully.
Consider the relation schema R(T, E, C, D, Y) and the following set of F of functional dependencies: CY à E E à Y DY à T CT à D The relation R decomposes into R1(C, Y, E), R2(C, T, D). 1. Is this decomposition lossless-join? _________________Blank 1 True False 2. Is this decomposition dependency preserving? ? _____________Blank 2 True False
Consider the following relation R= {A, B, C, D, E} and the following set of functional dependencies F={ A → BC CD → E B + D E + A} Give a lossless, dependency-preserving decomposition into 3NF of schema R
Given the following relation schemas and the sets of FD's: a- R(A,B,C,D) F={ABẠC,C7D, D´A, BC+C} b- R(A,B,C,D) F={BẠC, BD, AD>B} C- R(A,B,C,D) F={AB-C, DC+D, CD+A, AD+B} d- R(A,B,C,D) F={AB=C, C+D, D™B, DE} e- R(A, B, C, D, E) F= {AB+C, DB+E, AE>B, CD+A, ECD} In each case, (i) Give all candidate keys (ii) Indicate the BCNF violation Give the minimal cover and decompose R into a collection of relations that are BCNF. Is it lossless? Does it preserve the dependencies?...
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.