#2. Let S be the set of all strings of O's and 1's of length 3. Define a relation R on S as follows: s R t == for all strings s and t in S, the two left-most characters of s are the same as the two left-most characters of t. Prove that R is an equivalence relation on S.
#2. Let S be the set of all strings of O's and 1's of length 3. Define a relation R on S as follows: s R t == for all strings s and t in S, the two left-most characters of s are the same as the two left-most characters of t. Prove that R is an equivalence relation on S.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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