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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Pumping Lemma used for?
💡 Hint: Think about its relationship with language classification.
Question 2
Easy
What does |vxy| ≤ p signify?
💡 Hint: Consider how far apart the segments can be in the string.
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 context-free languages?
- They cannot be pumped.
- They can be divided into parts that can be repeated.
- They have no specific structure.
💡 Hint: Remember the purpose of the lemma.
Question 2
Is the language L={'a^n b^n c^n | n≥0} context-free?
- True
- False
💡 Hint: Can all three counts be maintained equally?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the Pumping Lemma, show that the language L={a^n b^m | n, m ≥ 0, n ≠ m} is not context-free.
💡 Hint: Think about what happens when n and m need to stay unequal after pumping.
Question 2
Prove that the language L={ww | w∈{a,b}^*} is not context-free using the Pumping Lemma.
💡 Hint: Carefully consider what would need to be balanced across the repeated segments.
Challenge and get performance evaluation