Consider the relation schema R=VWXYZ,with the set of functional dependencies F = {VW->XY, V>X, W->Z, YZ->Z, Z→V}A. Give three independent reasons why the following table cannot possibly be a legal instanceof R.VWXYv1w1х1ylz1v2w1x2y2z1v2w2x1y2z2B. Show the functional dependencies that hold on each of R1=VWX and R2=WYZ. You do notneed to show trivial functional dependencies, or those implied by others in the same set, butyou must show all others.C. Is the decomposition of R into R1=VWX and R2=WYZ lossless-join? Why or why not?

Consider the relation schema R=VWXYZ, with the set of functional dependencies F = {VW->XY, V->X, W>Z, YZ>Z, Z→V} A. Give three independent reasons why the following table cannot possibly be a legal instance of R. Z v| w x_] Y zl x1 | yl x2 y2 zl z2 w2 | x1 | y2 v1 w1 v2 v2 w1

Consider the relation schema R=VWXYZ, with the set of functional dependencies F = {VW->XY, V->X, W>Z, YZ>Z, Z→V} A. Give three independent reasons why the following table cannot possibly be a legal instance of R. Z v| w x_] Y zl x1 | yl x2 y2 zl z2 w2 | x1 | y2 v1 w1 v2 v2 w1

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Here's a relation (R), its attributes and its functional dependencies (F): R(A, B, C, D, E, F, G)…

A: Given functional dependencies: BC -> DG CD -> F FG -> A 1. Closure of {ACD}+ is: {ACD}+ =…

Q: Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:AB → CDB → DDE →…

A: Part(1) AB is basically not the superkey for R, and nor the AB -> CD trivial. Therefore, start…

Q: Given relation R(A, B, C, D, E, F, G, H, I, J) and the following set of function dependencies,…

A: I have given an answer in stpe 2.

Q: Relation R has eight attributes ABCDEFGH. Fields of R contain only atomic values. F = {CH -> G, A ->…

A: Actually, given information Relation R has eight attributes ABCDEFGH. Fields of R contain only…

Q: Consider a schema R, a set F of functional dependencies on R, and two candidate keys (k1, k2) as…

A: Given information: - R is schema in which F is a set of functional dependencies two candidate keys…

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

A: f ={ AB → C, A → D, B → F, F → GH, D → IJ } To find the key check the RHS of the…

Q: Suppose we have three relations r(A, B), s(B, C), and t(B, D), with all attributes declared as not…

A: Natural join:- 1. Natural join joins two data sets based on the same attributes names and datatypes.…

Q: Find a minimal cover in a standard form for the relation schema R(A, B,C, D, E, F, G, H) with the…

A: A minimal cover or canonical cover means a minimum set of functional dependencies. A canonical cover…

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

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: 1) Let F be a set of functional dependencies given as: F = {A'- BC, B → C, A - B, AB → C}; Find…

Q: 1. If we project the relation R(A,B,C,D,E) with dependencies A→→BC, B→D, and C→→E onto S(A,C,E),…

A: Answer is given below-

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: Consider a schema R, a set F of functional dependencies on R, and two candidate keys (k1, k2) as…

A: Given information: - A schema R, a set of FDs F and the two candidate keys (k1, k2) are shown below:…

Q: Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:AB → CDADE →…

A: Given schema R = (A,B,C,D,E,G) and set of FD's are, F = AB --> CD…

Q: Given the relation R (A, B, C, D, E) and the following set of functional dependencies: F = {ABC,…

Q: Consider the following Relation instance of R1(A, B, C, D): A D Null Null 1 Null Null 1 1 Null 1 2 4…

A: A relation stores data about entities using database languages. The structure of a relation is…

Q: 1. Consider a schema R = (A, B, C, D, E). Assume that the following set F of functional dependencies…

A: The closure of attribute A is a set of those attributes which can be functionally determined by A…

Q: Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:AB → CDADE →…

A: Candidate Key: A minimal super key is known as the Candidate key. Superkey refers to the attributes…

Q: Given R ={A, B, C, D}, and the set of Functional dependencies A→BC, B→D. (a) Is the decomposition…

A: The Functional dependency we have are A->B A->C B->D A->D A) If we decompose the…

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

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: Consider the relation R = {F, T, D, N, S} and the set of functional dependencies K = {F¬D, {D, T}…

Q: Given a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependency set FD = { PQ → R, P →…

A: Given: a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependency set FD = { PQ → R, P →…

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

Q: Consider thne universal relation R (AB. E F, G, H, I. JJ and the set of functional dependencies F =…

A: A functional dependency x->y is said to be partial functional dependency if X is part of key or…

Q: Consider the relation R with the following functional dependencies: R(P,Q, R, D, E, F) FD = {P >…

A: Answer: Option (d) PEF, QFR

Q: Consider a relational scheme R(A,B,C,D,E,H)R(A,B,C,D,E,H) and functional dependencies…

A: Given relational schema is R(A,B,C,D,E,H) Functional dependencies A→B,BC→D,E→C,D→A Candidate key…

Q: Consider a schema R = (A, B, C, D, E). Assume that the following set F of functional dependencies…

A: (CD)+ is CD closure which gives the set of all regular Functional Dependencies that can be derived…

Q: Consider the relation scheme R = {A, B, C, D, E, G} and the set of functional dependencies for the…

A: Below is the answer to above both parts. I hope this will meet your requirements...

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: c. For a schema R (A, B, C, D) bearing FDs F={A B, B + C, C + D, D + A}, find if the decomposition…

A: for dependency preserving, F1 U F2 = F where F1 is the functional dependency of R1 F2 is the…

Q: Q2. Given a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependency set FD = { PQ → R, P…

A: the answer is with full explaination is given below

Q: Consider a schema R = {A,B,C,D,E}and the following set of functional dependencies: {AB → C,C → D,D →…

A: To find: To find whether the given function is Boyce-Codd normal form or not.

Q: Implement in Python / Java

A: Lossless JOIN property allows to create a table of relations and insert values in the form of bij…

Q: Given 5 dimensional parameters A, B, C, D, E, F and the following set S of functional dependencies S…

A: Given: we have set of functional dependacies -> Relation -> S ( A,B,C,D,E,F ) S = { B ->…

Q: Consider the relation R = {F, T, D, N, S} and the set of functional dependencies K = {F¬D, {D, T}…

A: Answer : { T , N } is a key of Relation R .

Q: Consider a schema R, a set F of functional dependencies on R, and two candidate keys (k1, k2) as…

A: Given information: - A schema R, a set of functional dependencies F and two candidate keys (k1, k2)…

Q: Consider a relational scheme R(A,B,C,D,E,H) and functional dependencies A→B,BC→D,E→C,D→A. Find all…

A: In the functional dependencies above E, H are not present at the right hand side hence a candidate…

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

A: In given question, we have asked the key for given Relation R and closue of A and closure of AC. Key…

Q: Consider the relation schema R=VWXYZ, with the set of functional dependencies F = {VW->XY, V->X,…

Q: Consider the relation R(A,B,C) with the functional dependencies: B A, CA, and AB C. a) Show the…

A: Below i have answered 1 st question only:

Q: Consider the following sets of functional dependencies over a relation R(A,B,C). F1 = {A → B, B C}…

A: functional dependency (FD) is a relationship between two attributes, typically between the PK and…

Q: Consider a relational scheme R(A,B,C,D,E,H)R(A,B,C,D,E,H) and functional dependencies…

A: The Answer is

Q: Consider the relation R(A, B, C, D, E), where it is known that the only keys are KA, C, D} and {D,…

A: Functional Dependency: This is a connection between two attributes, wherein the attribute on the…

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

Q: Consider the relation R with the following functional dependencies: R(P,Q,R, D,E,F) FD = {P →Q, QR →…

A: The set of attributes PEF, QFR is the candidate keys for the given relation R. Therefore, the right…

Q: Consider replacing F by an alternative set of functional dependencies G: AP-> IT I -> ATP Is the…

A: The Answer is in step-2.

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

A: For this problem, we must get all the keys. For this, we must check all the attributes which are…

Q: Given R ={A, B, C}, and the set of Functional dependencies A→B, B→C. (a) Is the decomposition of…

A: Explanation:

Concept explainers

Intermediate SQL Concepts

A query is a request for data or information from one or more database tables. This information could be presented in the form of pictorials, graphs, or complicated findings which helps in easy interpretation. Structured Query Language (SQL) is the most widely used programming language for retrieving and organizing data from relational databases. Collection of tables with rows and columns is referred to as a database. SQL is the language of databases. It makes it easier to extract specific data from databases, which can then be used for analysis.

Question

Consider the relation schema R=VWXYZ,
with the set of functional dependencies F = {VW->XY, V>X, W->Z, YZ->Z, Z→V}
A. Give three independent reasons why the following table cannot possibly be a legal instance
of R.
V
W
X
Y
v1
w1
х1
yl
z1
v2
w1
x2
y2
z1
v2
w2
x1
y2
z2
B. Show the functional dependencies that hold on each of R1=VWX and R2=WYZ. You do not
need to show trivial functional dependencies, or those implied by others in the same set, but
you must show all others.
C. Is the decomposition of R into R1=VWX and R2=WYZ lossless-join? Why or why not?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Consider a schema R, a set F of functional dependencies on R, and two candidate keys (k1, k2) as follows:R = (X,Y,Z).F = {Y → Z,XZ → Y}.k1 = XZ.k2 =XY Is R in BCNF? Is R in 3NF?(a) R is in both BCNF and 3NF(b) R is in BCNF but not in 3NF(c) R is not in BCNF but in 3NF(d) R is in neither BCNF not 3NF
Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:AB → CDADE → GDEB → GCG → DEUse the 3NF decomposition algorithm to generate a 3NF decomposition of R,and show your work. This means: A canonical cover for F, along with an explanation of the steps you tookto generate it.
Consider a relation with schema R(A,B,C,D,E,G) and functional dependencies (FDs) C→D; B→A; D→E; E→G ) What is the closure of {B,C}? Show steps of your solution. Find 2 nontrivial FDs that can be inferred from the given FDs set. Explain how you found them. Propose one key for a given schema and FDs. Explain how you found it.
Consider the relation schema R(A, B, C, D, E, F) and the set S = {AB->C, BC->AD, D->E, C->B) of functional dependencies. Assuming that R is decomposed into the relation schemas R1(A,B), R2(B,C), R3(A,B,D,E) and R4(E,F). Use the Chase test to show if this is a lossless decomposition.
Consider the schema R=ABCDEG and the set of functional dependenciesF={BC→AG, BG→CD, C→AE, D→AG}2a) Determine the keys of the schema2b) Decide whether the schema is 3NF and motivate your answer 2c) Find a decomposition of the schema such that:- every subschema is 3NF- preserves the dependencies- has a lossless join.
Computer Science Given the relation R (A, B, C, D, E, F, G) and the set of functional dependencies: F= {BCD → A, BC → E, A → F, F→G, C→D, A→G}, a) Decompose R into 3NF. Show the different steps. b) Is this decomposition also in BCNF? Why or why not?
Show that the following decomposition of the schema R of Exercise 7.1 is not alossless decomposition:(A, B, C)(C, D, E).Hint: Give an example of a relation r(R) such that ΠA, B, C (r) ⋈ ΠC, D, E (r) ≠ r
Consider a relation schema R = {A, B, C, D, E} and its functional dependency set F = {A → BC,CD → E,B →D,E → A}. Let R be decomposed into R1 and R2, where R1 = (A,B,C) and R2 = (A,D,E). Is the decompositionlossless? Is the decomposition dependency preserving? (a) The decomposition is lossless and dependency preserving.(b) The decomposition is neither lossless nor dependency preserving.(c) The decomposition is not lossless but dependency preserving.(d) The decomposition is lossless but not dependency preserving.
Let's suppose, a relation R=(A, B, C, D, E. H) with a set of functional dependencies F: (AE->BC, B ->AD, CD->E, E→CD, A->E) is given. Relation R (A, B, C, D, E, H) is decomposed into R1 (A, B, C, D) and R2 (A, B, E, H). Find out whether the decomposition is lossless or not, and whether it is dependency preserving or not.
Suppose that we have the following four tuples in a relation S with three attributes ABC: (1,2,3), (4,2,3), (5,3,3), (5,3,4). Which of the following functional (-->) and multivalued (-->>) dependencies can you infer does not hold over relation S? a) A-->Bb) A-->>Bc) BC-->Ad) BC-->>Ae) B->Cf) B-->>C
Consider the relation r(A,B ) with the following instance of r. Which of the functional dependencies do NOThold on this instance?(a) C → A(b) B → A(c) AB → C(d) A → C(e) B → C Instance of r is attached
Consider a relation R(A,B,C,D,E) with functional dependencies AB→C, A→D, and D→E. (a) What are the keys for R?(b)What is the closure A, that is A+ ? What is the closure AB, that is (AC)+ ?