Practice Decidable Languages (Recursive Languages / R) - 6.2 | Module 7: Turing Machines and Computability | Theory of Computation
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6.2 - 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 Turing Machines that always halt.

Question 2

Easy

Give an example of a Turing-recognizable language.

πŸ’‘ Hint: Consider cases where TMs may loop.

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 it mean for a language to be decidable?

  • It means it can be recognized by a Turing Machine
  • It means a Turing Machine can provide a yes/no answer for all inputs
  • It means it can loop indefinitely

πŸ’‘ Hint: Consider the behavior of TMs on inputs.

Question 2

Is the Halting Problem decidable?

  • True
  • False

πŸ’‘ Hint: Think about the inability to determine halting behavior universally.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Outline a Turing Machine designed to recognize a specific decidable language and detail its components.

πŸ’‘ Hint: Focus on how a TM would process inputs step by step.

Question 2

Explain how one could prove that the complement of a known decidable language is also decidable.

πŸ’‘ Hint: Consider the properties of TMs and how states can be manipulated.

Challenge and get performance evaluation