Given an alphabet Σ = {a, b}, construct a regular expression for strings that have even length (e.g., aa, abab, babaab, etc.). 2. Given an alphabet Σ = {a, b, c}, construct a regular expression for strings that have an even length and start with a (e.g., ac, aabc, acca, abcabc, etc.). 3. Given an alphabet Σ = {0, 1, 2}, construct a regular expression for string with length 3 and the middle symbol is not 2 ( e.g., 000, 111, 012, 201, etc.). 4. Given an alphabet Σ = {0, 1, 2}, construct a regular expression that matches strings where the count of 1’s is precisely twice the count of 0’s and where the count of 2’s is the same as the count of 0’s (e.g., 1012, 2011, 20211011, etc.). 5. Given an alphabet Σ = {0, 1}, construct a regular expression for strings with at most three 1’s (e.g., 0, 01, 1001, 11001, etc.).
Given an alphabet Σ = {a, b}, construct a regular expression for strings that have even length (e.g., aa, abab, babaab, etc.). 2. Given an alphabet Σ = {a, b, c}, construct a regular expression for strings that have an even length and start with a (e.g., ac, aabc, acca, abcabc, etc.). 3. Given an alphabet Σ = {0, 1, 2}, construct a regular expression for string with length 3 and the middle symbol is not 2 ( e.g., 000, 111, 012, 201, etc.). 4. Given an alphabet Σ = {0, 1, 2}, construct a regular expression that matches strings where the count of 1’s is precisely twice the count of 0’s and where the count of 2’s is the same as the count of 0’s (e.g., 1012, 2011, 20211011, etc.). 5. Given an alphabet Σ = {0, 1}, construct a regular expression for strings with at most three 1’s (e.g., 0, 01, 1001, 11001, etc.).
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
Problem 1PE
Related questions
Question
Construct regular expressions for the below ‘English’ statements. If you cannot construct one, explain why
that may be the case.
1. Given an alphabet Σ = {a, b}, construct a regular expression for strings that have even length (e.g.,
aa, abab, babaab, etc.).
2. Given an alphabet Σ = {a, b, c}, construct a regular expression for strings that have an even length
and start with a (e.g., ac, aabc, acca, abcabc, etc.).
3. Given an alphabet Σ = {0, 1, 2}, construct a regular expression for string with length 3 and the middle
symbol is not 2 ( e.g., 000, 111, 012, 201, etc.).
4. Given an alphabet Σ = {0, 1, 2}, construct a regular expression that matches strings where the count
of 1’s is precisely twice the count of 0’s and where the count of 2’s is the same as the count of 0’s
(e.g., 1012, 2011, 20211011, etc.).
5. Given an alphabet Σ = {0, 1}, construct a regular expression for strings with at most three 1’s (e.g.,
0, 01, 1001, 11001, etc.).
that may be the case.
1. Given an alphabet Σ = {a, b}, construct a regular expression for strings that have even length (e.g.,
aa, abab, babaab, etc.).
2. Given an alphabet Σ = {a, b, c}, construct a regular expression for strings that have an even length
and start with a (e.g., ac, aabc, acca, abcabc, etc.).
3. Given an alphabet Σ = {0, 1, 2}, construct a regular expression for string with length 3 and the middle
symbol is not 2 ( e.g., 000, 111, 012, 201, etc.).
4. Given an alphabet Σ = {0, 1, 2}, construct a regular expression that matches strings where the count
of 1’s is precisely twice the count of 0’s and where the count of 2’s is the same as the count of 0’s
(e.g., 1012, 2011, 20211011, etc.).
5. Given an alphabet Σ = {0, 1}, construct a regular expression for strings with at most three 1’s (e.g.,
0, 01, 1001, 11001, etc.).
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