Practice Pushdown Automata (PDA) - 1.3.2 | Module 1: Foundations of Automata Theory | Theory of Computation
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What additional memory structure does a PDA use compared to a finite automaton?

πŸ’‘ Hint: Think about how a stack works in daily life, like a stack of plates.

Question 2

Easy

What type of languages can PDAs recognize?

πŸ’‘ Hint: Consider what might be needed to understand nested structures.

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 principle does a stack operate on in a PDA?

  • First-In
  • First-Out
  • Last-In
  • First-Out
  • Random Access

πŸ’‘ Hint: Think about how you would access items in a stack of plates.

Question 2

True or False: Pushdown Automata can only recognize regular languages.

  • True
  • False

πŸ’‘ Hint: Recall the distinction between regular and context-free languages in the automata hierarchy.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a PDA that recognizes the language L = { a^n b^n | n >= 1 }. Outline the states and stack operations required.

πŸ’‘ Hint: Sketch states and transitions on a diagram for clarity.

Question 2

Analyze the limitations of PDAs. What types of languages cannot be recognized by PDAs?

πŸ’‘ Hint: Think about languages that require more complex dependencies between symbols.

Challenge and get performance evaluation