Practice Concatenation (L1 L2) - 2.6.3 | Module 2: Deterministic Finite Automata (DFA) and Regular Languages | Theory of Computation
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2.6.3 - Concatenation (L1 L2)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the result of concatenating L1 = {x} and L2 = {y}?

πŸ’‘ Hint: Think about how you combine the strings.

Question 2

Easy

If L1 contains '1' and L2 contains '0', what does L1 L2 equal?

πŸ’‘ Hint: Just join the strings together.

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 does the concatenation of two languages L1 and L2 represent?

  • The union of two languages
  • The combination of strings from both languages
  • An intersection

πŸ’‘ Hint: Think about how strings can be joined together.

Question 2

Is the concatenation of two regular languages always a regular language?

  • True
  • False

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

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a DFA that recognizes the concatenation of two languages L1 = {a, b} and L2 = {0} and explain each step in your construction.

πŸ’‘ Hint: Think of how transitions work individually for each part.

Question 2

Prove the concatenation closure property formally using an example language.

πŸ’‘ Hint: Narrow down your steps in constructing the related DFAs.

Challenge and get performance evaluation