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Research Aptitude
October 25, 2023
Pumping-lemma
October 25, 2023
Research Aptitude
October 25, 2023
Pumping-lemma
October 25, 2023

Pumping-Lemma

Question 1

A language L satisfies the Pumping Lemma for regular languages, and also the Pumping Lemma for context-free languages. Which of the following statements about L is TRUE?

A
L is necessarily a regular language
B
L is necessarily a context-free language, but not necessarily a regular language
C
L is necessarily a non-regular language
D
None of the above
Question 1 Explanation: 
As we know that pumping lemma is a negative test, which can be use to disprove the given language is not regular. But reverse is not True.
Correct Answer: D
Question 1 Explanation: 
As we know that pumping lemma is a negative test, which can be use to disprove the given language is not regular. But reverse is not True.
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