Let L1, L2 * be regular languages. Prove (or disprove) that the following languages obtained from L₁ and L2 are regular. 1. Complement: L₁ = {w|w & L₁}. 2. Intersection: L₁ L₂ = {w/w € L₁, w€ L₂}. 3. Difference: L₁ - L₂ = {w/w € L₁, w # L₂}. 4. Exclusive-or: L₁ L₂ L2 = = {w\w € L₁ U L2, w & L₁ NL₂}.

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
Let L1, L2 * be regular languages. Prove (or disprove) that the following languages obtained from L₁
and L2 are regular.
1. Complement: L₁ = {w|w & L₁}.
2. Intersection: L₁ L₂ = {w/w € L₁, w€ L₂}.
3. Difference: L₁ - L₂ = {w/w € L₁, w & L₂}.
4. Exclusive-or: L₁
L₂
L2
= {w\w € L₁ U L2, w & L₁ NL2}.
Transcribed Image Text:Let L1, L2 * be regular languages. Prove (or disprove) that the following languages obtained from L₁ and L2 are regular. 1. Complement: L₁ = {w|w & L₁}. 2. Intersection: L₁ L₂ = {w/w € L₁, w€ L₂}. 3. Difference: L₁ - L₂ = {w/w € L₁, w & L₂}. 4. Exclusive-or: L₁ L₂ L2 = {w\w € L₁ U L2, w & L₁ NL2}.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Introduction to classical planning
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar 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