Practice Limitations of Automata - Nonregularity - 2.8 | Module 2: Deterministic Finite Automata (DFA) and Regular Languages | Theory of Computation
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2.8 - Limitations of Automata - Nonregularity

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a DFA?

πŸ’‘ Hint: Think about how a DFA processes input symbols sequentially.

Question 2

Easy

Name one limitation of DFAs.

πŸ’‘ Hint: Consider what happens if a language requires matching counts.

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 is a key limitation of DFAs?

  • They can process infinite strings
  • They have a finite number of states
  • They can remember entire input strings

πŸ’‘ Hint: Consider how states affect memory capabilities.

Question 2

True or False: The language L={a^n b^n} is regular.

πŸ’‘ Hint: Think about what DFAs can and cannot effectively recognize.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the language L={a^n b^n c^n | n β‰₯ 0} is nonregular using the Pumping Lemma.

πŸ’‘ Hint: Focus on which part y belongs to when pumping.

Question 2

Consider the language L={w ∈ {0,1}* | w has an odd number of 0's}. Prove this language is regular or not.

πŸ’‘ Hint: Sketch a state transition diagram to help visualize the operations.

Challenge and get performance evaluation