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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define decidable languages.
π‘ 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?
π‘ Hint: Consider the differences in TM behavior between both language classes.
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 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
π‘ Hint: Think about whether every input has a guaranteed outcome.
Question 2
Is the Halting Problem decidable?
- True
- False
π‘ Hint: Recall the implications of Turing's proof.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct an argument demonstrating why the Halting Problem is undecidable.
π‘ Hint: Follow Turing's original proof steps and analyze the implications of machine behavior when calling itself.
Question 2
Give an example of a language that is Turing-recognizable but not decidable and justify your choice.
π‘ Hint: Think of the properties and definitions we've discussed about recognition and decidability.
Challenge and get performance evaluation