Practice Equivalence of PDAs and CFGs - 6.3 | Module 6: Pushdown Automata (PDA) and Non-Context-Free Languages | Theory of Computation
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6.3 - Equivalence of PDAs and CFGs

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a Pushdown Automaton in your own words.

πŸ’‘ Hint: Think about how it differs from a finite automaton.

Question 2

Easy

What does it mean for a language to be context-free?

πŸ’‘ Hint: Consider the type of rules used in CFGs.

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 does PDA stand for?

  • Personal Digital Assistant
  • Pushdown Automaton
  • Private Data Access

πŸ’‘ Hint: Consider the context of computational models.

Question 2

Can a PDA accept a language by empty stack acceptance?

  • True
  • False

πŸ’‘ Hint: Reflect on the different methods of acceptance discussed.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a PDA that can recognize the language of palindromes. Provide a detailed description of the stack operations and transitions.

πŸ’‘ Hint: Track the position of the midpoint carefully.

Question 2

Prove that the language L = {a^n | n >=0} is context-free using the PDA to CFG conversion method. Illustrate the PDA's transition diagram.

πŸ’‘ Hint: Focus on how the stack operations align with grammar rules.

Challenge and get performance evaluation