A = {a, ab, aab}, A set of strings over the alphabet (a, b). For strings, we have an interesting notation to define the universal set U in this context. We take U defined by the Kleene closure (*) of the alphabet: U = {a,b}* = {a,b)}¹ = {a,b}° U {a,b}¹ U {a,b}² U... (20 Answer the following questions. a) What is the shortest string in the universe for A? b) How many strings are contained in A? c) Write the contents of {a, b}° U {a,b}¹ U {a, b}² in roster notation.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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A = {a, ab, aab},
A set of strings over the alphabet (a, b). For strings, we have an interesting notation to define the universal
set U in this context. We take U defined by the Kleene closure (*) of the alphabet:
U = {a,b}* = {a,b}¹ = {a,b}° U {a,b}¹ U {a,b}² U...
izo
Answer the following questions.
a) What is the shortest string in the universe for A?
b) How many strings are contained in A?
c) Write the contents of {a,b}⁰ U {a,b}¹ U {a,b}² in roster notation.
d) Write the contents of A x A in roster notation. Note that when pairing up the strings, you are
concatenating the strings. Your final answer should not contain any pairs, only strings, and should
not contain any duplicates. To compute this, you can first compute the Cartesian product as usual,
followed by removing the parentheses and commas.
Transcribed Image Text:A = {a, ab, aab}, A set of strings over the alphabet (a, b). For strings, we have an interesting notation to define the universal set U in this context. We take U defined by the Kleene closure (*) of the alphabet: U = {a,b}* = {a,b}¹ = {a,b}° U {a,b}¹ U {a,b}² U... izo Answer the following questions. a) What is the shortest string in the universe for A? b) How many strings are contained in A? c) Write the contents of {a,b}⁰ U {a,b}¹ U {a,b}² in roster notation. d) Write the contents of A x A in roster notation. Note that when pairing up the strings, you are concatenating the strings. Your final answer should not contain any pairs, only strings, and should not contain any duplicates. To compute this, you can first compute the Cartesian product as usual, followed by removing the parentheses and commas.
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