Practice Algorithms for Regular Languages: Decision Properties - 4.1 | Module 4: Algorithms for Regular Languages and Minimization | Theory of Computation
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the emptiness problem investigate in a DFA?

πŸ’‘ Hint: Think about what the language contains.

Question 2

Easy

In the membership problem, what do we check with respect to a DFA?

πŸ’‘ Hint: Consider what it means for a string to be accepted.

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 is the primary question of the emptiness problem?

  • Is L empty?
  • Does L contain strings?
  • Both of the above

πŸ’‘ Hint: Consider the definition of emptiness.

Question 2

True or False: The membership problem can confirm if a string belongs to a language.

πŸ’‘ Hint: Think about how DFAs process inputs.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Consider a DFA defined with various states but lacking transitions to final states. Analyze and determine if it recognizes any strings.

πŸ’‘ Hint: Evaluate the nature of the transitions and final states directly.

Question 2

Create a DFA that recognizes the language of strings over {0,1} that contain an even number of '1's and examine string '101' against it.

πŸ’‘ Hint: Check the final state of the DFA after reading '101'.

Challenge and get performance evaluation