Practice Kleene Star (l∗) (2.6.4) - Deterministic Finite Automata (DFA) and Regular Languages
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Kleene Star (L∗)

Practice - Kleene Star (L∗)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define the Kleene Star operation.

💡 Hint: Think about how many times you can use strings from L.

Question 2 Easy

What does the Kleene Star include for a language L?

💡 Hint: Consider what happens when you concatenate nothing.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Kleene Star operation do?

Generates one string
Generates all concatenations of strings from a language including the empty string
Only combines two strings

💡 Hint: Think about what happens when you repeat a word multiple times.

Question 2

The empty string is included in L∗. True or False?

True
False

💡 Hint: Reflect on how many strings can be made with no elements from L.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that Kleene Star applied to a set {x, y, z} generates infinitely many strings.

💡 Hint: Consider how you might create combinations by choosing different elements.

Challenge 2 Hard

Create your own example of a language L and calculate L∗. Describe the strings formed.

💡 Hint: Start with the basic elements and multiply them step by step.

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Reference links

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