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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Pumping Lemma?
π‘ Hint: Think of it as a tool used in language theory.
Question 2
Easy
Define a regular language.
π‘ Hint: It's a type of language in formal theory.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the Pumping Lemma state about a regular language?
- It cannot be empty.
- It can be pumped.
- It cannot be represented by a DFA.
π‘ Hint: Think about the criteria established by the lemma.
Question 2
True or False: The Pumping Lemma can only apply to infinite languages.
- True
- False
π‘ Hint: Recall that finite automata can recognize certain finite languages too.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show that the language L={a^n | n is a prime number} is not regular using the Pumping Lemma.
π‘ Hint: Focus on how p being prime affects division.
Question 2
Construct a proof using the Pumping Lemma that language L={ww | w in {0,1}*} is non-regular.
π‘ Hint: Revisit how the symmetry in 'w' would be disrupted.
Challenge and get performance evaluation