Practice Pushdown Automata (PDA): Formal Definition and Recognition of CFLs - 6.1 | Module 6: Pushdown Automata (PDA) and Non-Context-Free Languages | Theory of Computation
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6.1 - Pushdown Automata (PDA): Formal Definition and Recognition of CFLs

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does a Pushdown Automaton use for memory?

πŸ’‘ Hint: Think about the structure of a PDA.

Question 2

Easy

Name one acceptance condition for PDAs.

πŸ’‘ Hint: Recall how PDAs can accept strings.

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 distinguishes a PDAs from DFAs?

  • Use of non-determinism
  • Use of a stack
  • Finite memory

πŸ’‘ Hint: Think about how memory structure changes the capabilities of these automata.

Question 2

True or False: PDAs can accept non-context-free languages.

  • True
  • False

πŸ’‘ Hint: Recall the definition of context-free languages.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a non-deterministic PDA for the language L={a^n b^n | n β‰₯ 0}. Explain your state transitions.

πŸ’‘ Hint: Remember the flow from pushing to popping based on the inputs.

Question 2

Prove that there exists a context-free grammar for the language {a^n b^n | n >= 0}. What are the production rules?

πŸ’‘ Hint: Construct derivations from the start symbol to involve balanced pairs.

Challenge and get performance evaluation