Given below are two statements: one is labelled as Assertion A and the other…

2026

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

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In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both A and R are correct and R is the correct explanation of A

  2. Both A and R are correct but R is NOT the correct explanation of A

  3. A is correct but R is not correct

  4. A is not correct but R is correct

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Attempted by 41 students.

Show answer & explanation

Correct answer: A

Step 1: Analyze Assertion A

The language L = {an bn cn : n >= 0} is a classic example of a Context-Sensitive Language (CSL). It is known that CSLs are accepted by Linear Bounded Automata (LBA). Therefore, Assertion A is correct.

Step 2: Analyze Reason R

It is a fundamental theorem in automata theory that Linear Bounded Automata recognize exactly the class of Context-Sensitive Languages. Therefore, Reason R is correct.

Step 3: Relationship between A and R

Since Assertion A relies on the fact that the language is a CSL and Reason R establishes the equivalence between LBAs and CSLs, Reason R is the correct explanation for Assertion A.

Conclusion: Both A and R are correct and R is the correct explanation of A.

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