Give a recursive definition for the set of all strings of a’s and b’s where all the strings contain exactly one a. (Assume, S is set of all strings of a’s and b’s. Then S = {a, ab, ba, abb, bba, bab, bbba, babb, ... ).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 14E: Assume that is a binary operation on a non empty set A, and suppose that is both commutative and...
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Give a recursive definition for the set of all strings of a’s and b’s where all the strings contain exactly one a. (Assume, S is set of all strings of a’s and b’s. Then S = {a, ab, ba, abb, bba, bab, bbba, babb, ... ).

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