Q2: When the following FDs are defined in R(A, B, C, D), А — D, CD — В, А —— С (1) Identify the candidate key(s) in R. (2) Identify the best normal form that R satisfies (1NF, 2NF, 3NF, or BCNF) (3) If R is not in BCNF, decompose it into a set of BCNF relations that preserve the dependencies.

Q: Question 3. Suppose we have a relation R = (A, B,C, D, E , F) with a set of function ependencies F =…

A: A -> DE AC -> B B -> D Closure (AC) =(A, C, B, D, E)  Since AC determines all the attribute…

Q: Normalization Here is a set of FDs for a relation R {A, B, C, D, E, F, G}; AB BC>DE AEF>G AC>DE a.…

A: Given, Relation schema = ( A, B, C, D, E, F, G ) The set of functional dependencies are : A -> B…

Q: All parts of this question use the relation R = (ABCDEG) with the set of functional dependencies F…

A: 1) The given relation is : R = (ABCDEG) The given set of functional dependencies F is : A→BC AD→G…

Q: Suppose we have the following relation schema R and set of functional dependencies F: R = (A, B, C,…

A: Here in this question we have a relation R (A B C D E F G) and some FDs also given there.and we have…

Q: c) Consider the following relation R with the functional dependencies: AC B, AD E, AB C, E→F, BC A,…

A: Given functional dependencies, AC→BAD→EAB→CE→FBC→AB→D

Q: Problem 1 Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c,…

A: 2NF: A relation is in 2NF if it is already in 1NF and all functional dependencies should be full…

Q: You are given a binary relation R (defined below) on A. Each tuple (a, b) indicates that a is…

A: Hey there, I am writing the required solution based on the above given question. Please do find the…

Q: Problem 1 Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c,…

A: In this question, first, we find the 2NF. In 2NF, for relations where the primary key contains…

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. List the ordered pairs in the relation R from A = {o, 1, 2, 3, 4} to B = {o, 1, 2, 3}, where(a,…

A: Summary: In this question, we have been given two sets A and B, and we have to find those relations…

Q: Answer the following questions about the relation R(a, b, c, d, e, f), with functional dependencies:…

A: Answer : R(a,b,c,d,e,f) a->f ab->cd c->e de->b bf->ae It  not violate any normal…

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

A: 3NF Decomposition: Given: Relation R,  Set F of functional dependencies. Find: Decomposition of R…

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

A: Answer to the above question is in step2.

Q: Consider the relation schema R (A, B, C, D, E, F, G, H) with the set of functional dependencies K =…

A: Actually, given relation schema R (A, B, C, D, E, F, G, H)...  functional dependencies K = {A→B,…

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

A: Given FDs: -

Q: QUESTION 9 A relation R(M, N, O, P, Q) is in 2NF and has the following functional dependencies: • MN…

A: Dear Student, As MN derives O and O derives P and also Q thus MN derives M,N,O,P,Q. Thus MN is a…

Q: A known relationship mode of R (U, F), U= (A, B, C, E, F, G, H, I, J, G); F={AB->E, ABE->FG, B->FI,…

A:

Q: Show that the following decomposition of the schema R of Exercise 7.1 is not alossless…

A: Given: Show that the following decomposition of the schema R of Exercise 7.1 is not alossless…

Q: Show that the following decomposition of the schema R of Exercise 7.1 is not alossless…

A:

Q: Q4.Given A={1,2 , 3} and B={a, b} provide 1 possible relation from A to Bi.e., ARB. Q5. Given A={1,…

A: Given: As per our policy, "Since you have asked multiple questions, we will solve the first question…

Q: bu are given the following set of functional dependencies for a relation R= (A , B C,D,E,F), F=…

A: Key of relation,relation in BCNF and dependency preserving decomposition

Q: Suppose you are given a relation R-(A,B,C,D,E) with the following functional dependencies:…

A: Relation R which is defined functional dependencies

Q: Q1Greetings, thatnk you in advance for your response.    - Give a decomposition into 3NF of the…

A: The Relation R( A,B,C,D,E ) can be decomposed as follows to 3nf: Functional dependencies, F : [ AB…

Q: 21o of 40 A decomposition is in 3NF if every decomposed relation is in 3NF. A decomposition is in…

A: We have a relation R(A,B,C,D,E,F,G) and functional dependencies. We have decompose R into 4…

Q: Let A = {0, 1, 2, 3} and define relations R, S, and T on A as follows: R = {(0, 0), (0, 1), (0, 3),…

A: Relations R,S and T are reflexive, symmetric and transitive

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: You are given the following set of functional dependencies for a relation R= (A, B,C,D,E,F), F= (AB…

A: A) The functional dependency are AB->C DC->AE E->F The key for the given relation is set of…

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

A: Super key is defined as a set of attributes within a table that can uniquely identify each record…

Q: Consider the following five relations on the set A = {1, 2, 3, 4}. Determine which of * .the…

A: Given:

Q: Consider the relation R(A,B,C,D,E,F,G) with the following functional dependencies: A-CDE, B F.…

A: Given Data : Relation :- A,B,C,D,E,F,G Dependency :- A->CDE , B->F

Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

A: Symmetric closure of the set A={a,b,c}

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

A: ANSWER IS C   R is not IN 3NF and not in BCNF

Q: Consider the relations r1(A, B, C), r2(C, D, E), and r3(E, F), with primary keysA, C, and E,…

A: Consider the relations r1(A, B, C), r2(C, D, E), and r3(E, F), with primary keysA, C, and E,…

Q: Suppose you are given a relation R=(A,B,C,D,E) with the following functional dependencies:…

A: Given Suppose you are given a relation R=(A,B,C,D,E) with the following functional dependencies:…

Q: Consider R(A,B,C,D) and Functional dependencies A -> B, B -> C, C-> D, D -> B. Following…

A: Given:

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

A: Answer for (A) and (B):

Q: Consider the relations r1(A, B, C), r2(C, D, E), and r3(E, F), with primary keysA, C, and E,…

A:

Q: (10) Discrete Structure: Please solve it on urgent basis: Question # 10 :                  For…

A: A = {1,2,3,4}  R = { (2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4) } The relation R is not…

Q: List the ordered pairs in the relation R from A = 0,1, 2, 3, 4, B = 1, 2, 3, 4, 5, where Ris defined…

A: answer to the question is in step2 where a=2b.

Q: 4. Decomposition- BCNF. Consider relation R=(ABCDEFG), F={AB>CD, CDE→AB, AG>BD, BDG>EF} (a) Is it in…

A: The candidate key is the set of attributes which is used to uniquely identify tuples in a table.…

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 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: 1. Suppose that you have the relation R with n tuples and the relation S with k tuples without…

A:

Q: Our discussion of lossless decomposition implicitly assumed that attributes on the left-hand side of…

A:

Q: Give a 3NF decomposition of the given schema based on cover. Give a BCNF decomposition of the given…

A: GIVEN: The set F of functional dependencies on the relation schema r(A, B, C, D, E, F): A → BCD…

Q: Exercise 2.7 Show that every instance of the schema Ø v (Y^2)] → [Ov y) ^ (Ø v x)] is PL-valid.

A: PL(propositional logic):It states whether the statement is true or false. valid means true.

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: 3. Decomposition – 3NF. Consider relation R=(ABCDEFG), F={AB→AC, BC→AE, AD→BCE}. (a) Is it in 3NF?…

A: F={AB→AC,BC→AE,AD→BCE} Closure of F (F+)={A,B,C,D,E} The candidate key is the set of attributes that…

Q: B = {1,2,3,4,5,6} Suppose R is relation on BxB with pair (a,b) such that a < b. R is represented as

A: Step 1:- Given:- B = {1,2,3,4,5,6) Suppose R is relation on BxB with pair (a,b) such that a &lt; b.

Q: Let A = {2,3, 4, 5, 6, 7, 8, 1} Let R be a relation on A defined by R = {{a, b) : b =3 , a e A be…

A: For any value of a is b=3