Practice Properties of Regular Languages - Closure Properties - 2.6 | Module 2: Deterministic Finite Automata (DFA) and Regular Languages | Theory of Computation
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2.6 - Properties of Regular Languages - Closure Properties

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the union of two regular languages L1 = {0} and L2 = {1}?

πŸ’‘ Hint: Think of all possible strings from each language.

Question 2

Easy

If L = {a}, what is L*?

πŸ’‘ Hint: Consider how many times you can take 'a' including none at all.

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

Which of the following properties indicates that the result remains within the class of regular languages?

  • Closure Properties
  • Transformation Properties
  • Finite Properties

πŸ’‘ Hint: Think about what defines consistent characteristics in language classes.

Question 2

The intersection of two regular languages is regular. True or False?

  • True
  • False

πŸ’‘ Hint: Recall what we learned about combining regular languages.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Design a DFA that recognizes the intersection of languages L1 = {0, 1} that contain an even number of 0s and L2 = {0, 1} that contain an even number of 1s.

πŸ’‘ Hint: Remember to track two properties at once!

Question 2

Identify a non-regular language and use the pumping lemma to prove it's non-regular.

πŸ’‘ Hint: Ensure you illustrate how the structure of your chosen string violates the lemma.

Challenge and get performance evaluation