Practice Intersection (l1 ∩l2) (2.6.2) - Deterministic Finite Automata (DFA) and Regular Languages
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Intersection (L1 ∩L2)

Practice - Intersection (L1 ∩L2)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define intersection in the context of regular languages.

💡 Hint: Think about what it means for strings to belong to both languages.

Question 2 Easy

What does a Product Construction achieve?

💡 Hint: Consider how DFAs can simulate each other.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the result of the intersection of two regular languages L1 and L2?

It's always empty.
It's always non-regular.
It remains a regular language.

💡 Hint: Recall the closure properties discussed earlier.

Question 2

True or False: The intersection of L1 = {a, ab} and L2 = {ab, ac} is {ab}.

True
False

💡 Hint: Consider which strings are present in both sets.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design a DFA to recognize the intersection of L1 = {a, aa} and L2 = {a, ab, aa}. Discuss its states and transitions.

💡 Hint: Combine the possible transitions from both DFAs.

Challenge 2 Hard

Provide an example of two regular languages that result in an intersection that is non-empty but does not include all elements.

💡 Hint: Look for overlapping elements that define conditions on each side.

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Reference links

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