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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Turing recognizable language.
π‘ Hint: Think about what the Turing machine does with strings not in the language.
Question 2
Easy
What is a decidable language?
π‘ Hint: Consider the behavior of Turing machines in terms of halting.
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 TM can accept and halts for all inputs.
- A language that a TM may loop for non-members.
- A language that always rejects all inputs.
π‘ Hint: Consider how Turing machines behave with valid vs. invalid inputs.
Question 2
Is the complement of a Turing recognizable language also Turing recognizable?
- True
- False
π‘ Hint: Recall the implications of decidability and recognizability.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a Turing recognizable language L, provide an example of a string not in L and discuss its possible outcomes.
π‘ Hint: Reflect on why incorrect syntax affects recognition.
Question 2
Prove that if a language is Turing recognizable, its complement is not necessarily recognizable by constructing an example.
π‘ Hint: Utilize properties of the Halting Problem to illustrate non-closure.
Challenge and get performance evaluation