Question: Let = {0,1}. Show that the problem of determining whether a CFG generates some string in 1 is decidable. In other words, show that

Let Σ = {0,1}. Show that the problem of determining whether a CFG generates some string in 1

is decidable. In other words, show that

{〈G〉| G is a CFG over {0,1} and 1^* ∩ L(G) ≠ ⌀} is a decidable language.

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