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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term 'Union' in the context of formal languages.
💡 Hint: Think of how you would combine sets of items.
Question 2
Easy
Do CFLs stay within their class when united? Explain.
💡 Hint: Recall the definition of closure properties.
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
The union of two CFLs is a CFL. Is this statement True or False?
- True
- False
💡 Hint: Reflect on the definition of closure.
Question 2
What operation would you use to combine L1 and L2?
- Concatenation
- Union
- Intersection
💡 Hint: Think about how you would describe both languages' coverage.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Propose two context-free languages with different characteristics. Show how their union is context-free by constructing the respective grammar.
💡 Hint: Remember to keep the non-terminal sets disjoint.
Question 2
Consider the languages L1 = { x ∈ {a,b}* | x is a palindrome } and L2 = { x | x contains the substring 'ab' }. Examine their union and discuss why it may or may not remain a CFL.
💡 Hint: Analyze the complexity of palindromic structure.
Challenge and get performance evaluation