S is a set of strings over the alphabet {a, b}* recursively defined as: Base case: a E S, bES Recursive rules: If x e S, then Rule 1: xaa e S Rule 2: bbx e S List all the strings in S of length 3. Ex: aaa, bbb

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 4E: 4. Let be the relation “congruence modulo 5” defined on as follows: is congruent to modulo if...
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S is a set of strings over the alphabet {a, b}* recursively defined as:
3
Base case: a E S, b e S
Recursive rules: If x e S, then
Rule 1: xaa eS
Rule 2: bbx eS
List all the strings in S of length 3.
Ex: aaa, bbb
Transcribed Image Text:S is a set of strings over the alphabet {a, b}* recursively defined as: 3 Base case: a E S, b e S Recursive rules: If x e S, then Rule 1: xaa eS Rule 2: bbx eS List all the strings in S of length 3. Ex: aaa, bbb
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