Practice Limitations Of Automata - Nonregularity (2.8) - Deterministic Finite Automata (DFA) and Regular Languages
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Limitations of Automata - Nonregularity

Practice - Limitations of Automata - Nonregularity

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a DFA?

💡 Hint: Think about how a DFA processes input symbols sequentially.

Question 2 Easy

Name one limitation of DFAs.

💡 Hint: Consider what happens if a language requires matching counts.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 Hint: Consider how states affect memory capabilities.

Question 2

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

💡 Hint: Think about what DFAs can and cannot effectively recognize.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Focus on which part y belongs to when pumping.

Challenge 2 Hard

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

💡 Hint: Sketch a state transition diagram to help visualize the operations.

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Reference links

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