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.