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Michael Sipser Edition 3 Exercise 5 Question 6 (Page No. 239)

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admin asked Oct 19, 2019
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Michael Sipser Edition 3 Exercise 5 Question 5 (Page No. 239)
Show that $A_{TM}$ is not mapping reducible to $E_{TM}$. In other words, show that no computable function reduces $A_{TM}$ to $E_{TM}$. (Hint: Use a proof by contradiction, and facts you already know about $A_{TM}$ and $E_{TM}$.)
Show that $A_{TM}$ is not mapping reducible to $E_{TM}$. In other words, show that no computable function reduces $A_{TM}$ to $E_{TM}$. (Hint: Use a proof by contradictio...
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admin asked Oct 19, 2019
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Michael Sipser Edition 3 Exercise 5 Question 25 (Page No. 240)
Give an example of an undecidable language $B$, where $B \leq_{m} \overline{B}$.
Give an example of an undecidable language $B$, where $B \leq_{m} \overline{B}$.
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Michael Sipser Edition 3 Exercise 5 Question 4 (Page No. 239)
If $A \leq_{m} B$ and $B$ is a regular language, does that imply that $A$ is a regular language? Why or why not?
If $A \leq_{m} B$ and $B$ is a regular language, does that imply that $A$ is a regular language? Why or why not?
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