Practice - Proving PDAs recognize CFLs (CFG to PDA Construction)
Practice Questions
Test your understanding with targeted questions
What is a Pushdown Automaton (PDA)?
💡 Hint: Think about how a finite automaton works but consider additional memory.
What does it mean to accept by an empty stack?
💡 Hint: Consider what happens to the stack during processing.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a PDA use to recognize context-free languages?
💡 Hint: Consider how memory structures differ in automata.
True or False: A PDA can use final state acceptance as its only method of accepting strings.
💡 Hint: Reflect on both acceptance criteria described.
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Challenge Problems
Push your limits with advanced challenges
Construct a PDA for a CFG that generates a language like L = { a^n b^n c^n | n >= 0 }. Explain whether this PDA can be constructed and why.
💡 Hint: Consider the stacking limitations and how it handles multiple transitions.
Given the CFG S → AB, A → aA | ε, and B → bB | ε, describe how a PDA could accept strings generated by this CFG.
💡 Hint: Use your understanding of how terminals and variables interact in the PDA.
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Reference links
Supplementary resources to enhance your learning experience.