Practice Turing Recognizable Languages (Recursively Enumerable Languages / RE) - 6.1 | Module 7: Turing Machines and Computability | Theory of Computation
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6.1 - Turing Recognizable Languages (Recursively Enumerable Languages / RE)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define Turing recognizable languages.

πŸ’‘ Hint: Think about what happens when we input a string to the machine.

Question 2

Easy

Is every decidable language also Turing recognizable? Why?

πŸ’‘ Hint: Consider the definitions.

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 a Turing recognizable language?

  • A language that a Turing machine can always decide.
  • A language where a Turing machine halts for every input.
  • A language a Turing machine accepts and may loop indefinitely.

πŸ’‘ Hint: Think about the behavior of Turing machines.

Question 2

Is the Halting Problem decidable?

  • True
  • False

πŸ’‘ Hint: Recall the implications behind the Halting Problem.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Construct a Turing machine that recognizes a Turing recognizable language but explain why it is not decidable.

πŸ’‘ Hint: Consider how a simple machine would operate and checks for even and odd.

Question 2

Consider the implications if a language formerly known as Turing recognizable was shown to be decidable. Discuss how this would impact computational theory.

πŸ’‘ Hint: Reflect on relationships between different language classes.

Challenge and get performance evaluation