Practice Formal Statement - 6.6.1 | Module 6: Pushdown Automata (PDA) and Non-Context-Free Languages | Theory of Computation
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6.6.1 - Formal Statement

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a Pushdown Automaton.

πŸ’‘ Hint: Think about the additional memory capability compared to a finite automaton.

Question 2

Easy

What does the transition function Ξ΄ of a PDA do?

πŸ’‘ Hint: Recall the input and output requirements.

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 is the main purpose of a Pushdown Automaton?

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

πŸ’‘ 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

πŸ’‘ Hint: Recall the two acceptance conditions discussed in class.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Diagramming the transitions might help clarify the operation.

Question 2

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

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

Challenge and get performance evaluation