(5) If L is context free, then L¬L must also be context free. True O False

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
**Question:**

(5) If \( L \) is context free, then \( L \cap \lnot L \) must also be context free.

- [ ] True
- [ ] False

**Explanation:**

This question tests the understanding of closure properties of context-free languages. Context-free languages are not closed under the complementation operation. Therefore, \( \lnot L \) may not be context-free, and the intersection of a context-free language \( L \) with a non-context-free language \(\lnot L\) is not guaranteed to be context-free. Consider carefully whether the statement is true or false based on these closure properties.
Transcribed Image Text:**Question:** (5) If \( L \) is context free, then \( L \cap \lnot L \) must also be context free. - [ ] True - [ ] False **Explanation:** This question tests the understanding of closure properties of context-free languages. Context-free languages are not closed under the complementation operation. Therefore, \( \lnot L \) may not be context-free, and the intersection of a context-free language \( L \) with a non-context-free language \(\lnot L\) is not guaranteed to be context-free. Consider carefully whether the statement is true or false based on these closure properties.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Software Development
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