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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a Context-Free Grammar (CFG)?
π‘ Hint: Think about how CFGs differ from regular grammars.
Question 2
Easy
Name the components of a CFG.
π‘ Hint: Remember the mnemonic VSPS to recall components.
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 defines a Context-Free Grammar?
- A set of recursive functions
- Production rules with non-terminals
- Only uses terminal symbols
π‘ Hint: Think about how CFGs are structured.
Question 2
True or False: CFLs are closed under intersection.
- True
- False
π‘ Hint: Recall examples of languages that challenge closure properties.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the language L consisting of all strings of the form a^n b^n c^m for n, m >= 0 is not a context-free language.
π‘ Hint: Focus on the inequalities that arise when applying the lemma.
Question 2
Convert the following CFG into Chomsky Normal Form: S -> AB | a and A -> a | Ξ΅.
π‘ Hint: Remember to create auxiliary non-terminals when you mix terminals and non-terminals.
Challenge and get performance evaluation