Let A = {x, y} and let S be the set of all strings over A. Define a relation C from S to S as follows: For all strings s and t in S, (s, t) E C means that t= ys. Then C is a function because every string in S consists entirely of x's and y's and adding an ad- ditional y on the left creates a single new string that consists of x's and y's and is, therefore, also in S. Find C(x) and C(yyxyx).
Let A = {x, y} and let S be the set of all strings over A. Define a relation C from S to S as follows: For all strings s and t in S, (s, t) E C means that t= ys. Then C is a function because every string in S consists entirely of x's and y's and adding an ad- ditional y on the left creates a single new string that consists of x's and y's and is, therefore, also in S. Find C(x) and C(yyxyx).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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