The reverse wR of a string w can be defined in two different ways: First: Let n=w. Then n=wR and i1..n, symbol i of w is the same as symbol (ni+1) of wR Second: 1. is is own reverse. 2. If a is any symbol, then the string a is its own reverse. 3. If a is any symbol and x is a string, then \(ax\) is the reverse of \(x Ral). 4. No string is a reverse of another unless it follows from (1) through (3) Prove by induction that the two definitions are equivalent