Exercise 2.5.3: Suppose R and S are two relations. Let C be the referen- tial integrity constraint that says: whenever R has a tuple with some values V1, V2, ... , Vn in particular attributes A1, A2, ... , An, there must be a tuple of S that has the same values v1, v2, ... , Vn in particular attributes B1, B2,... , Bn. Show how to express constraint C in relational algebra.

Q: Let a prime attribute be one that appears in at least one candidate key. Let α and β be sets of…

A: Given: According to the definition of the textbook R is in 3NF. It is necessary to show that the…

Q: Let R be a relation on A = {0, 2, 3, 7} and R = {(7,7), (3, 3), (0, 2), (2, 0), (2, 2), (0, 0)}. Are…

A: SOLUTION- Given, A ={0,2,37} and R={(7,7),(3,3),(0,2),(2,0),(2,2),(0,0)} 1)True  A  relation R…

Q: 3. Disprove the following rule: {B > CD, AB → E, E → C} |= {AE → CD} To disprove a rule, construct a…

A:

Q: Let R be a relation on A = {0, 2, 7, 8} and R = {(7, 2), (8, 8), (8,0), (2, 7), (2, 2), (7,0)}. Are…

A: The given relation R is defined on the set A = {0, 2, 7, 8}, and R = {(7, 2), (8, 8), (8, 0), (2,…

Q: Exercise 3.2.1: Consider a relation with schema R(A, B, C, D) and FD’s AB → C, C → D, and D → A. a)…

A: Answer : For the single attributes we have {A}+= A, {B}+= B, {C}+= ACD, and {D}+=AD. Thus, the only…

Q: Consider the representation of the ternary relationship of Figure 6.29a usingthe binary…

A: The following given is the simple instance of E, A, B, C, RA, RB, and RC that cannot correspond to…

Q: 3. Meaning of FD Consider R= (ABCDE), F = {A>BC, CD→E, B→ D, E → A}. Assume the domains of all…

A: Given,  R = (ABCDE) A→BC CD→E B→D E→A The domain of all attributes are integers

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: Consider a relation R(A,B,C,D,E) with functional dependencies AB→C, A→D, and D→E. (a) What are…

A: (A ) keys for relation R) is AB   Reason : -- because key is column or set of columns using that you…

Q: 3. R is a binary relation over N, the set of natural integers. (x, y) € R iff x mod 7 = y mod 7. R…

A: Binary Relation:A binary relation is a mathematical concept that defines a relationship between two…

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: 5.37 Consider the following relation that holds data about employee assignments: ASSIGNMENT…

A: the solution is an given below :

Q: ,3,4). Which of the following functional (-->) and multivalued  (-->>) dependencies can you infer…

A: In database systems, functional dependencies (FD) and multivalued dependencies (MVD) are important…

Q: 1. Given a relation model R, where U = {A, B, C, D, E}, F = {A->BC, C->D, BC->E, E->A}. The…

A: Note:- Please send the question once again if you wish to answer another question, as set out in the…

Q: We studied different properties of relations like reflexive, symmetric, antisymmetric, transitive.…

A: Lets see the solution in the next steps

Q: Suppose that R is the following relation on the set A = {1,2,3,4}: R = A × A – {(1, 1), (2, 2), (3,…

A: The Cartesian product is a mathematical operation that takes two sets and creates a new set…

Q: Consider the following relation: R (A, B, C, D, E, F) You are given the following list of functional…

A:

Q: Assume we have two relations R(A,B) and S(B,C). All three attributes (A, B, and C) are integer…

A: Given:

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: Question 6. Consider the relation R(ABCDE) and its functional dependencies set {AB->C, C->E, B-> D,…

A: Answer of the given question: choice (d) is the correct answer.  Lossless Decomposition:  Lossless…

Q: Assume we have two relations R(a,b) and S(b,c). All three attributes (a, b, and c) are integer…

A: Lets see the solution in the next steps

Q: Consider a relation consisting of the attributes A, B, C, with the following set of functional…

A:

Q: Let W(A, B) and Q(C,D) be two relation schemas. Let r₁ and r2 be the corresponding relation…

A: In the Referential integrity constraints, if a foreign key in table 1 refers to the primary key of…

Q: DB_Design:GA7.5. 3NF Decomposition 2 Consider the functional dependencies on R(A,B,C,D,E,F):…

A: Database normalization is a crucial concept in the design and organization of relational databases.…

Q: a prime attribute be one that appears in at least one candidate key. Let α and β be sets of…

A: To reduce the duplication of data, referential integrity andanomalies the normal forms are used like…

Q: 2. Let R be the binary relation on A= {a, b, c} with the graphical representation shown below: a…

A: To check reflexive, symmetric and transitive nature of graph.

Q: id name supervisor A John Joyce Jim Jennifer Peter D null E C E Write an SQL statement to list any…

A: We can achieve the desired result by doing self join of the Employee table

Q: Consider the universal relation R (A, B, C, D, E, F, G} and the set %3! of functional dependencies F…

A: The Relation given is : R = { A, B, C,D ,E, F, G} And the functional dependencies are: B,C --> A…

Q: Consider the recursive query in Figure 5.16 that outputs this transitive closure. Write a that finds…

A: Recursion: Recursive views make it possible to write queries , such as transitive closure queries,…

Q: For these questions, there exists 4 relations: R(A,B,C), S(C,D), T(D,E,F), and U(B,G). The size of…

A: Solution :   As per given data :    4 Relations are given below : R(A,B,C), S(C,D), T(D,E,F), and…

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: 2.Consider relation R=(A,B,C,D) with the following FDs: B → C, C → D, and D → A a. List all…

A: 2. Given, Relation is R = (A, B, C, D) The set of functional dependencies given is :  B -> C C…

Q: Suppose there are two relationsr and s, such that the foreign key B of r references the primary key…

A: Consider the given two relations r and s and their on delete cascade constraint as the primary key…

Q: Let a prime attribute be one that appears in at least one candidate key. Let α andβ be sets of…

A: Given: Let a prime attribute be one that appears in at least one candidate key. Let α andβ be sets…

Q: martin emma jenny tony olivia william john christopher steve david michael dorothy sophia…

A: PARENT(olivia, william). PARENT(olivia, emma). PARENT (tony, martin). PARENT (tony,olivia). PARENT…

Q: Let R be a relation on A = {0, 1, 6, 8} and R = {(0, 0), (8, 6), (6, 6), (8, 8), (1, 1), (1, 0), (0,…

A: 1. R is symmetric Answer: False Explanation:  because of (8,6) ∈ R, but (6,8) ∉ R.   2. R is…

Q: Let R(A, B, C) be arelational schema with the following functional dependencies : {A— >B,B—>C,C— >A}…

A: To determine whether the decomposition of R into (A, B) and (B, C) satisfies the properties of…

Q: Consider the following functional dependencies that hold on R(ABCDEF): AB-> CD, E -> C, B -> EF Is…

A: Dear Student, The answer to your question is given below -

Q: Consider the universal relation: R = (A, B, C, D, E, F, G, H, I, J) and the set of functional…

A: A crucial step in relational database architecture is database normalization, which entails breaking…