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How could I prove that the following language is decidable?

$\{\langle G\rangle \mid G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the ThoeryTheory of Computation" by Michael Sipser.

How could I prove that the following language is decidable?

$\{\langle G\rangle \mid G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the Thoery of Computation" by Michael Sipser.

How could I prove that the following language is decidable?

$\{\langle G\rangle \mid G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the Theory of Computation" by Michael Sipser.

Decidability of the $1^* \subseteq CFG$determining whether a context-free grammar generates all strings in 1*

How could be provedI prove that the following language is decidable?

$\{\langle G\rangle|G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$$\{\langle G\rangle \mid G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the Thoery of Computation" by Michael Sipser.

Decidability of the $1^* \subseteq CFG$

How could be proved that the following language is decidable?

$\{\langle G\rangle|G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the Thoery of Computation" by Michael Sipser.

Decidability of determining whether a context-free grammar generates all strings in 1*

How could I prove that the following language is decidable?

$\{\langle G\rangle \mid G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the Thoery of Computation" by Michael Sipser.

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Decidability of the $1^* \subseteq CFG$

How could be proved that the following language is decidable?

$\{\langle G\rangle|G\ \text{is a CFG over}\ \{0,1\}\ \text{and}\ 1^* \subseteq L(G)\}$

P.S. It's the problem 4.15 of the third edition of the "Introduction to the Thoery of Computation" by Michael Sipser.