Practice Kleene Star (closure) (5.3.1.3) - Context-Free Grammars (CFG) and Languages
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Kleene Star (Closure)

Practice - Kleene Star (Closure)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Kleene Star operation signify in formal languages?

💡 Hint: Think of how many ways you can combine strings from a language.

Question 2 Easy

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

💡 Hint: Consider both the empty string and varying lengths of strings.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Kleene Star operator represent?

Concatenation of two strings
Zero or more repetitions of a language
The complexity of a grammar

💡 Hint: Think about repetition and what it means for a language.

Question 2

True or False: The Kleene Star can generate the empty string.

True
False

💡 Hint: How does zero repetitions factor in?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the language L = {0, 1}, generate the first six strings of the language L*.

💡 Hint: Start with the empty string and add repetitions step by step.

Challenge 2 Hard

Construct a CFG for a language L that generates the strings a^n b^n where n ≥ 0, and use it to derive the first three elements of L*.

💡 Hint: Consider how the CFG allows for variable numbers of repetitions.

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Reference links

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