Practice - Context-Free Grammars (CFG) and Languages
Practice Questions
Test your understanding with targeted questions
What is a Context-Free Grammar (CFG)?
💡 Hint: Think about how CFGs differ from regular grammars.
Name the components of a CFG.
💡 Hint: Remember the mnemonic VSPS to recall components.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a Context-Free Grammar?
💡 Hint: Think about how CFGs are structured.
True or False: CFLs are closed under intersection.
💡 Hint: Recall examples of languages that challenge closure properties.
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Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Focus on the inequalities that arise when applying the lemma.
Convert the following CFG into Chomsky Normal Form: S -> AB | a and A -> a | ε.
💡 Hint: Remember to create auxiliary non-terminals when you mix terminals and non-terminals.
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Reference links
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