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Relation R is decomposed using a set of functional dependencies, F and relation S is decomposed using another set of functional dependencies G. One decomposition is definitely BCNF, the other is definitely 3NF, but it is not known which is which. To make a guaranteed identification, which one of the following tests should be used on the decompositions? (Assume that the closures of F and G are available).
  • a)
    Dependency-preservation
  • b)
    Lossless-join
  • c)
    BCNF definition
  • d)
    3NF definition
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Relation R is decomposed using a set of functional dependencies, F and...
Answer is (C) since to identify BCNF we need BCNF definition. One relation which satisfies will be in BCNF and other will be in 3NF. 1st is wrong because dependency may be preserved by both 3NF and BCNF. 2nd is wrong Because both 3NF and BCNF decomposition can be lossless. 4th is wrong because 3NF and BCNF both are in 3NF also.
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Relation R is decomposed using a set of functional dependencies, F and...
BCNF and 3NF Definitions:
- BCNF (Boyce-Codd Normal Form) is a normal form in database normalization. A relation is in BCNF if and only if every determinant in the relation is a candidate key.
- 3NF (Third Normal Form) is also a normal form in database normalization. A relation is in 3NF if and only if every non-prime attribute in the relation is non-transitively dependent on every candidate key.

Identifying the BCNF and 3NF Decompositions:
To determine which decomposition is BCNF and which is 3NF, we need to use the definitions of BCNF and 3NF.

Dependency-Preservation and Lossless-Join Tests:
The dependency-preservation and lossless-join tests are not sufficient to guarantee the identification of BCNF and 3NF decompositions. These tests can only determine if a particular decomposition preserves the functional dependencies and allows for lossless joins. They do not provide information about whether the decomposition satisfies the specific conditions of BCNF and 3NF.

Using the BCNF Definition:
By using the BCNF definition, we can check if the given decomposition satisfies the conditions of BCNF. According to the BCNF definition, a relation is in BCNF if every determinant is a candidate key. If one of the decompositions satisfies this condition, it can be identified as BCNF.

Using the 3NF Definition:
Similarly, by using the 3NF definition, we can check if the given decomposition satisfies the conditions of 3NF. According to the 3NF definition, a relation is in 3NF if every non-prime attribute is non-transitively dependent on every candidate key. If one of the decompositions satisfies this condition, it can be identified as 3NF.

Conclusion:
To guarantee the identification of BCNF and 3NF decompositions, we should use the BCNF and 3NF definitions. By checking if the decompositions satisfy the conditions of BCNF and 3NF, we can determine which decomposition is BCNF and which is 3NF.
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Relation R is decomposed using a set of functional dependencies, F and relation S is decomposed using another set of functional dependencies G. One decomposition is definitely BCNF, the other is definitely 3NF, but it is not known which is which. To make a guaranteed identification, which one of the following tests should be used on the decompositions? (Assume that the closures of F and G are available).a)Dependency-preservationb)Lossless-joinc)BCNF definitiond)3NF definitionCorrect answer is option 'C'. Can you explain this answer?
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Relation R is decomposed using a set of functional dependencies, F and relation S is decomposed using another set of functional dependencies G. One decomposition is definitely BCNF, the other is definitely 3NF, but it is not known which is which. To make a guaranteed identification, which one of the following tests should be used on the decompositions? (Assume that the closures of F and G are available).a)Dependency-preservationb)Lossless-joinc)BCNF definitiond)3NF definitionCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Relation R is decomposed using a set of functional dependencies, F and relation S is decomposed using another set of functional dependencies G. One decomposition is definitely BCNF, the other is definitely 3NF, but it is not known which is which. To make a guaranteed identification, which one of the following tests should be used on the decompositions? (Assume that the closures of F and G are available).a)Dependency-preservationb)Lossless-joinc)BCNF definitiond)3NF definitionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Relation R is decomposed using a set of functional dependencies, F and relation S is decomposed using another set of functional dependencies G. One decomposition is definitely BCNF, the other is definitely 3NF, but it is not known which is which. To make a guaranteed identification, which one of the following tests should be used on the decompositions? (Assume that the closures of F and G are available).a)Dependency-preservationb)Lossless-joinc)BCNF definitiond)3NF definitionCorrect answer is option 'C'. Can you explain this answer?.
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