Example 3.5 For E = {0,1}, give a regular expression r such that L (r) = {w E £* : w has at least one pair of consecutive zeros}. %3D One can arrive at an answer by reasoning something like this: Every string in L (r) must contain 00 somewhere, but what comes before and what goes after is completely arbitrary. An arbitrary string on {0,1} can be denoted by (0+ 1)*. Putting these observations together, we arrive at the solution r = (0+1)* 00 (0+1)* .

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
icon
Related questions
Question

Does the expression ((0 + 1) (0 + 1)∗)∗00 (0 + 1)∗ denote the language in Example 3.5?

Example 3.5
For E = {0,1}, give a regular expression r such that
L (r) = {w E £* : w has at least one pair of consecutive zeros}.
%3D
One can arrive at an answer by reasoning something like this: Every string
in L (r) must contain 00 somewhere, but what comes before and what goes
after is completely arbitrary. An arbitrary string on {0,1} can be denoted
by (0+ 1)*. Putting these observations together, we arrive at the solution
r = (0+1)* 00 (0+1)* .
Transcribed Image Text:Example 3.5 For E = {0,1}, give a regular expression r such that L (r) = {w E £* : w has at least one pair of consecutive zeros}. %3D One can arrive at an answer by reasoning something like this: Every string in L (r) must contain 00 somewhere, but what comes before and what goes after is completely arbitrary. An arbitrary string on {0,1} can be denoted by (0+ 1)*. Putting these observations together, we arrive at the solution r = (0+1)* 00 (0+1)* .
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education