Practice Reversal (lr) (2.6.6) - Deterministic Finite Automata (DFA) and Regular Languages
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Reversal (LR)

Practice - Reversal (LR)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does reversing a string mean?

💡 Hint: Think about the order of the characters.

Question 2 Easy

If L = { ab, a }, what is LR?

💡 Hint: Remember to reverse each string in L.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is LR if L = { ab, aba }?

{ ba
aba }
{ ba
aba
aab }
{ ab }

💡 Hint: Apply the reversal definition to all elements.

Question 2

True or False: The reversal of a language is always a regular language.

True
False

💡 Hint: Consider the properties of regular languages.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that if L is a regular language, then LR is also regular by constructing a DFA for LR from the DFA of L.

💡 Hint: Sketch the original DFA and visualize its reversed structure.

Challenge 2 Hard

Given L = { a^n b^n | n >= 0 }, discuss how the reversal LR would change the nature of the strings.

💡 Hint: Notice the balance of symbols while reversing.

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Reference links

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