Practice Closure Properties of Decidable Languages (Recursive Languages / R) - 8.1 | Module 7: Turing Machines and Computability | Theory of Computation
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8.1 - Closure Properties of Decidable Languages (Recursive Languages / R)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a decidable language?

πŸ’‘ Hint: Think about what a Turing Machine does.

Question 2

Easy

Which operation indicates two languages having a common set of strings?

πŸ’‘ Hint: Recall the part where both languages must agree.

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

Which operation on decidable languages results in a language that is also decidable?

  • Union
  • Intersection
  • Complement
  • All of the above

πŸ’‘ Hint: Remember the properties we've discussed.

Question 2

True or False: The intersection of two undecidable languages is always undecidable.

  • True
  • False

πŸ’‘ Hint: Consider examples of mixed language types.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that the class of decidable languages is closed under concatenation.

πŸ’‘ Hint: Think about how you could systematically check all pairings.

Question 2

Formulate a Turing Machine that can decide the complement of a given decidable language.

πŸ’‘ Hint: Work through the transitions of both machines.

Challenge and get performance evaluation