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Michael Sipser Edition 3 Exercise 4 Question 11 (Page No. 211)
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Let $INFINITE_{PDA} = \{\langle{ M \rangle} \mid \text{M is a PDA and L(M) is an infinite language}\}$. Show that $INFINITE_{PDA}$ is decidable.
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Michael Sipser Edition 3 Exercise 4 Question 10 (Page No. 211)
Let $INFINITE_{DFA} = \{\langle{ A \rangle} \mid \text{ A is a DFA and L(A) is an infinite language}\}$. Show that $INFINITE_{DFA}$ is decidable.
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Michael Sipser Edition 3 Exercise 4 Question 7 (Page No. 211)
Let $B$ be the set of all infinite sequences over $\{0,1\}$. Show that $B$ is uncountable using a proof by diagonalization.
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Oct 15, 2019
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Michael Sipser Edition 3 Exercise 4 Question 4 (Page No. 211)
Let $A\varepsilon_{CFG} = \{ \langle{ G }\rangle \mid G\: \text{is a CFG that generates}\: \epsilon \}.$Show that $A\varepsilon_{CFG}$ is decidable.
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Michael Sipser Edition 3 Exercise 4 Question 3 (Page No. 211)
Let $ALL_{DFA} = \{ \langle{ A }\rangle \mid A \text{ is a DFA and}\: L(A) = \Sigma^{\ast}\}.$ Show that $ALL_{DFA}$ is decidable.
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