Practice Formal Definition - 6.1.1 | Module 6: Pushdown Automata (PDA) and Non-Context-Free Languages | Theory of Computation
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6.1.1 - Formal Definition

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does PDA stand for?

πŸ’‘ Hint: What is the first part of the term describing this automaton?

Question 2

Easy

How many components are in the 7-tuple that defines a PDA?

πŸ’‘ Hint: Count the elements in the defined tuple.

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 the acronym PDA stand for?

  • Perfectly Deterministic Automaton
  • Pushdown Automaton
  • Partial Deterministic Automaton

πŸ’‘ Hint: Focus on the purpose of the automaton.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Consider the two methods of acceptance for a PDA.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a PDA that accepts the language of strings of the form a^n b^n for n >= 0 and define its components.

πŸ’‘ Hint: Think about how you balance counts of 'a's and 'b's.

Question 2

Show that the language L = { a^n b^m c^n | n,m >= 0 } is beyond the capabilities of a PDA.

πŸ’‘ Hint: Consider how a PDA’s stack would behave with different symbols.

Challenge and get performance evaluation