Decompose the following relation R(A, B, C, D) with functional dependencies (FD's) C-B A- BD Compute closures for all subsets of R • List all nontrivial FD's and find possible keys. • Identify all BCNF violations. • Þecompose the relations as necessary into collections of relations that are in BCNF. Only first-level decomposition is required.

Q: Let R(ABCDEFG) be a relation and F={A -> C, A-> D, B->F, E->F, F->G} a. Show example of lossless…

A: According to the information given:- We have R(ABCDEFG) F={A -> C, A-> D, B->F, E->F,…

Q: Let X = {0, 1}. (a) List (as subsets of X X X) all possible relations on X. This answer has not been…

A:

Q: Which of the followings can possibly be a canonical cover Fc of a set F of functional dependencies?…

A: The answer to this question is option b) {A → D, AB → C, D → B} and d) {A → C, D → B, AB → C}

Q: Consider a relation with schema R(A,B,C,D,E,G) and functional dependencies (FDs) C→D; B→A; D→E; E→G…

A: Answer is given below .

Q: Let R(A,B,C,D) be a relation with the set of functional dependencies F={AB->C,C->D). Decompose the…

A: Answer is

Q: Consider the set of F of the following functional dependencies on relation R(A, B, C, D, E): AB C…

A:

Q: • Let A be the set A={a,b,c,d} and R is a relation on set A, where R= { (a,a), (a,b) ,(b,a),(b,b),…

A: A = {a,b,c,d} R= {(a,a),(b,a),(b,b),(c,d),(c,c),(d,d)}

Q: Consider the relation R(S, N, R, C, J, H, L) and its set of dependencies F = {S, N -> C ; J, H, C ->…

A: using Armstrong's axioms=> proved in figure figure 1:

Q: The relation R(A, B, C, D, E) has the following functional dependencies. А, В - С В, С -> D C, D→E…

A: Attached Solution for (a) and (b) part:

Q: Assume you apply a functional dependence in the BCNF decomposition technique to deconstruct a…

A: Intro Assume you apply a functional dependence in the BCNF decomposition technique to deconstruct a…

Q: Problem 3 Consider the relation R = {A, B, C, D, E, F,G, H, I, J} and the set of functional…

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Q: PQ → TY ii. P → QR iii. QST → R iv. STR → P   From the above functional dependencies, using…

A: Given:- i. PQ → TY ii. P → QR iii. QST → R iv. STR → P   From the above functional dependencies,…

Q: SIf a decomposition of a relation R into R¡ and R2 is lossless, then which of the followings are…

A: If a decomposition of a relation “R” into “R1”, and “R2” is lossless then it produces “R” by…

Q: Consider the schema R=ABCDEG and the set of functional dependencies F={BC→AG, BG→CD, C→AE, D→AG} 2a)…

A: To address each part of your question:2a) Determine the keys of the schema:To find the keys of the…

Q: Decompose R into a set of 3NF relations, that is lossless join and dependency preserving.

A: Here we decompose it in 3nf and check dependency preserving.…

Q: Comment say : True / False. whether the decomposition of R ( A, B, C,D , E , G) in (ABCE , BD , AEG…

A: Introduction : Given , Relational Schema R(A,B,C,D,E,G).And its functional dependencies are also…

Q: Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G) 5. Find a 3NF…

A: The given Functional depenency are :  F = {BC -> D, B -> E, CE -> D, E -> CA, BF ->…

Q: . Consider the following relation with set of functional dependencies R(ABCDEF) ABC->D, ABD->E,…

A:

Q: Consider the following set F of functional dependencies on the relation schema R = (A, B, C, D, E,…

A: a) Candidate Key : Minimal set of attributes used to differentiate every record of the table is…

Q: 7) Provide a step-by-step lossless decomposition of R into BCNF normal form.

A: Answer

Q: From the given set of functional dependencies,determine that there can be more than one canonical…

A: Functional dependency is a relationship that is shown between two or more attributes of a table.…

Q: Suppose a relation schema R = (A, B, C, D) is decomposed into following relations R1(A,B,C) and…

A: A relation schema R is decomposed into R1 and R2

Q: A decomposition of a relation R into Rị and R2 is dependency preserving, if - (a) R can be…

A: Answer: The correct option is “(d) All of them”

Q: Computer Science Given the relation R (A, B, C, D, E, F, G) and the set of functional dependencies:…

A:

Q: Let R(A, B, C, D) be a relation with FD's: A → B, C → D, AD → C, and BC → A. If we decompose R into…

A: Answer to the above question is in step2.

Q: Consider the functional dependency of relation R (A, B, C,D) F%3D {A—ВС, В-С, А —В, АВ—D; Compute…

A: Closure Sets Of F+ is all three sets and closure of B+ is second one( in bold) {A}+= {A,B,C,D} {B}+=…

Q: Let S = {1,2,3}. Let be the relation on Sx S defined by (a, b) ≤ (c,d) a ≤ c and b>d (a) Show that…

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Q: Decompose the relations, as necessary, into collections of relations that are in BCNF. R(A,B,C,D)…

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Q: Consider the Relation R4 = (A,C,B,D,E,F), with Functional Dependencies: A -> B, C -> D, E -> D. What…

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Q: 3. Suppose you are given a relation R(PQRSM)and the F, the set of functional dependencies that hold…

A: R(P, Q, R, S, M)  PQ -> R PQ -> S R -> P S->Q (PQ) + ={PQRS} (RS) + ={RSPQ} Therefore…

Q: Given: Relation R = {(a,a), (a.b), (b,a). (b,b). (c,c)} and Set S = {a, b, c} Complete Relation R…

A: Find the answer given as below :

Q: A decomposition is in 3NF if every decomposed relation is in 3NF. A decomposition is in BCNF if…

A: I have provided solution in step2

Q: 1) What are the canidate keys 2) waht is the canonical cover of this relation

A: I have given an answer in step 2.