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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a language class to be closed under an operation?
💡 Hint: Think of combining languages.
Question 2
Easy
Is the union of two CFLs always a CFL?
💡 Hint: Consider how we can combine grammar rules.
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
Are Context-Free Languages closed under union?
- True
- False
💡 Hint: Think about combining grammar rules.
Question 2
What operation does not guarantee that the result remains a CFL?
- Union
- Intersection
- Concatenation
💡 Hint: Consider the examples discussed earlier.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given L1 = {a^n b^n | n ≥ 0} and L2 = {b^n c^n | n ≥ 0}, analyze their intersection. Is it a CFL? Justify your answer.
💡 Hint: Focus on counts and how a CFG might represent them.
Question 2
Discuss a scenario where the non-closure under complement may pose problems while designing a compiler.
💡 Hint: Think about how the compiler differentiates valid/invalid code.
Challenge and get performance evaluation