Practice Proving PDAs recognize CFLs (CFG to PDA Construction) - 6.3.1 | Module 6: Pushdown Automata (PDA) and Non-Context-Free Languages | Theory of Computation
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6.3.1 - Proving PDAs recognize CFLs (CFG to PDA Construction)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a Pushdown Automaton (PDA)?

πŸ’‘ Hint: Think about how a finite automaton works but consider additional memory.

Question 2

Easy

What does it mean to accept by an empty stack?

πŸ’‘ Hint: Consider what happens to the stack during processing.

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 a PDA use to recognize context-free languages?

  • A Queue
  • A Stack
  • A Register

πŸ’‘ Hint: Consider how memory structures differ in automata.

Question 2

True or False: A PDA can use final state acceptance as its only method of accepting strings.

  • True
  • False

πŸ’‘ Hint: Reflect on both acceptance criteria described.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a PDA for a CFG that generates a language like L = { a^n b^n c^n | n >= 0 }. Explain whether this PDA can be constructed and why.

πŸ’‘ Hint: Consider the stacking limitations and how it handles multiple transitions.

Question 2

Given the CFG S β†’ AB, A β†’ aA | Ξ΅, and B β†’ bB | Ξ΅, describe how a PDA could accept strings generated by this CFG.

πŸ’‘ Hint: Use your understanding of how terminals and variables interact in the PDA.

Challenge and get performance evaluation