Find an inductive definition for each set S. In this question, N is the set of Natural numbers and includes 0. 1. a. Provide an inductive definition for Integer numbers b. S= {A, aacc, aaaacccc, } d. S: , , 512, 64, 8,2> ...) e. set of even size palindromes over the set a, b S is a set of lists Note that palindrome is a string that is the same when written in reverse order Find an inductive definition for each set S. In this question, N is the set of Natural numbers and includes 0. 1. a. Provide an inductive definition for Integer numbers b. S= {A, aacc, aaaacccc, } d. S: , , 512, 64, 8,2> ...) e. set of even size palindromes over the set a, b S is a set of lists Note that palindrome is a string that is the same when written in reverse order