Pumping lemma for regular language is generally used for proving :

This question was previously asked in
UGC NET Computer Science (Paper 3) Nov 2017 Official Paper
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  1. whether two given regular expressions are equivalent
  2. a given grammar is ambiguous
  3. a given grammar is regular
  4. a given grammar is not regular

Answer (Detailed Solution Below)

Option 4 : a given grammar is not regular
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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The correct answer is option 4.

Key Points

The pumping lemma is often used to prove that a particular language is non-regular. Pumping lemma for regular language is generally used for proving a given grammar is not regular.

Hence the correct answer is a given grammar is not regular.

Additional Information

Pumping Lemma is to be applied to show that certain languages are not regular. It should never be used to show a language is regular.

If L is regular, it satisfies Pumping Lemma.

If L does not satisfy Pumping Lemma, it is non-regular.

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