Question

Consider a set of ? strings over alphabet ? = {?, ?}, defined recursively as follows....

  1. Consider a set of ? strings over alphabet ? = {?, ?}, defined recursively as follows. ?∈?

    ? ∈ ? ⟹ ??? ∈ ?
    Furthermore, ? has no elements other than those obtained by finitely many applications of the

    recurrence rule given in its definition. For example, the first four elements of ? are
    ?, ???, ?????, ???????
    Use mathematical induction to prove that there are no strings in ? that end in ?. {3 points.

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