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Consider the following set of functional dependencies on the scheme (A, B, C).

A —> BC, B —> C, A —> B ,A B —> C

The canonical cover for this set is

  • a)
    A → B and B → C

  • b)
    A → BC and AB → C

  • c)
    A → BC and A → B

  • d)
    A → BC and B → C

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following set offunctional dependencies on the scheme (A,...
 


In the given FDs,



1) Convert elements on LHS as singleton



           Thus, A -> BC can be written as A-> B and A->C



2) Remove composite attributes from LHS



           Here, AB -> C can be written as A -> C, because we have an FD {A -> B}.



3) Remove redundant attributes



        We have FD = {A -> B, A -> C , B -> C}



       this is a transitive depenency A -> B -> C. After remove redundancy, we get A->B, B->C.



Option A is the required answer
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Most Upvoted Answer
Consider the following set offunctional dependencies on the scheme (A,...
→ B

B → C

This set of functional dependencies implies that A uniquely determines B and B uniquely determines C. Therefore, A indirectly determines C through B. This can be represented as:

A → B → C

In other words, if we know the value of A, we can determine the value of B, and if we know the value of B, we can determine the value of C. However, if we only know the value of A, we cannot directly determine the value of C.
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Consider the following set offunctional dependencies on the scheme (A, B, C).A —> BC, B —> C, A —> B ,A B —> CThe canonical cover for this set isa)A → B and B →Cb)A → BC and AB → Cc)A → BC and A → Bd)A → BC and B → CCorrect answer is option 'A'. Can you explain this answer?
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Consider the following set offunctional dependencies on the scheme (A, B, C).A —> BC, B —> C, A —> B ,A B —> CThe canonical cover for this set isa)A → B and B →Cb)A → BC and AB → Cc)A → BC and A → Bd)A → BC and B → CCorrect answer is option 'A'. 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 Consider the following set offunctional dependencies on the scheme (A, B, C).A —> BC, B —> C, A —> B ,A B —> CThe canonical cover for this set isa)A → B and B →Cb)A → BC and AB → Cc)A → BC and A → Bd)A → BC and B → CCorrect answer is option 'A'. 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 Consider the following set offunctional dependencies on the scheme (A, B, C).A —> BC, B —> C, A —> B ,A B —> CThe canonical cover for this set isa)A → B and B →Cb)A → BC and AB → Cc)A → BC and A → Bd)A → BC and B → CCorrect answer is option 'A'. Can you explain this answer?.
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