Practice Decidability And Turing Recognizability (6) - Turing Machines and Computability
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Decidability and Turing Recognizability

Practice - Decidability and Turing Recognizability

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define decidable languages.

💡 Hint: Think about whether TM guarantees a yes or no outcome.

Question 2 Easy

What does it mean for a language to be Turing-recognizable?

💡 Hint: Consider the differences in TM behavior between both language classes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a decidable language?

A language that may loop indefinitely
A language that always halts with a yes or no answer
A language that only accepts certain inputs

💡 Hint: Think about whether every input has a guaranteed outcome.

Question 2

Is the Halting Problem decidable?

True
False

💡 Hint: Recall the implications of Turing's proof.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct an argument demonstrating why the Halting Problem is undecidable.

💡 Hint: Follow Turing's original proof steps and analyze the implications of machine behavior when calling itself.

Challenge 2 Hard

Give an example of a language that is Turing-recognizable but not decidable and justify your choice.

💡 Hint: Think of the properties and definitions we've discussed about recognition and decidability.

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Reference links

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