Practice - Closure Properties of CFLs
Practice Questions
Test your understanding with targeted questions
What does it mean for a language class to be closed under an operation?
💡 Hint: Think of combining languages.
Is the union of two CFLs always a CFL?
💡 Hint: Consider how we can combine grammar rules.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Are Context-Free Languages closed under union?
💡 Hint: Think about combining grammar rules.
What operation does not guarantee that the result remains a CFL?
💡 Hint: Consider the examples discussed earlier.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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