Practice Reversal (LR) - 2.6.6 | Module 2: Deterministic Finite Automata (DFA) and Regular Languages | Theory of Computation
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2.6.6 - Reversal (LR)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does reversing a string mean?

πŸ’‘ Hint: Think about the order of the characters.

Question 2

Easy

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

πŸ’‘ Hint: Remember to reverse each string in L.

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 LR if L = { ab, aba }?

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

πŸ’‘ 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

πŸ’‘ Hint: Consider the properties of regular languages.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Sketch the original DFA and visualize its reversed structure.

Question 2

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

πŸ’‘ Hint: Notice the balance of symbols while reversing.

Challenge and get performance evaluation