Practice Decidable Languages (recursive Languages / R) (6.2) - Turing Machines and Computability
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Decidable Languages (Recursive Languages / R)

Practice - Decidable Languages (Recursive Languages / R)

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a decidable language?

💡 Hint: Think about Turing Machines that always halt.

Question 2 Easy

Give an example of a Turing-recognizable language.

💡 Hint: Consider cases where TMs may loop.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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

💡 Hint: Consider the behavior of TMs on inputs.

Question 2

Is the Halting Problem decidable?

True
False

💡 Hint: Think about the inability to determine halting behavior universally.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Focus on how a TM would process inputs step by step.

Challenge 2 Hard

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

💡 Hint: Consider the properties of TMs and how states can be manipulated.

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Reference links

Supplementary resources to enhance your learning experience.