Practice Formal Statement (6.6.1) - Pushdown Automata (PDA) and Non-Context-Free Languages
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Formal Statement

Practice - Formal Statement

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a Pushdown Automaton.

💡 Hint: Think about the additional memory capability compared to a finite automaton.

Question 2 Easy

What does the transition function δ of a PDA do?

💡 Hint: Recall the input and output requirements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the main purpose of a Pushdown Automaton?

To recognize regular languages
To recognize context-free languages
To simulate finite automata

💡 Hint: Think about the strengths of PDAs over DFAs.

Question 2

True or False: PDAs can only accept strings by reaching a final state.

True
False

💡 Hint: Recall the two acceptance conditions discussed in class.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a PDA that accepts the language {a^n b^n | n ≥ 0} and describe its transitions.

💡 Hint: Diagramming the transitions might help clarify the operation.

Challenge 2 Hard

Prove that the language L = {a^n b^n c^n | n ≥ 0} is not context-free using the Pumping Lemma.

💡 Hint: Focus on what parts can be pumped and how their counts will change.

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