Exercise 7.3.2: Consider the following two languages: L₁ = {an2ncm | n, m≥ 0} L₂ = {anbmc²m|n, m≥ 0} 1 a) Show that each of these languages is context-free by giving grammars for each. ! b) Is L₁ L2 a CFL? Justify your answer.

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

The questions are not graded. I need a and b. The topic is automata theory 

Exercise 7.3.2: Consider the following two languages:
L₁ = {ab²ncm | n,m>0}
L2
L₂ = {abc2m|n, m≥ 0}
a) Show that each of these languages is context-free by giving grammars for
each.
! b) Is L₁ L2 a CFL? Justify your answer.
Transcribed Image Text:Exercise 7.3.2: Consider the following two languages: L₁ = {ab²ncm | n,m>0} L2 L₂ = {abc2m|n, m≥ 0} a) Show that each of these languages is context-free by giving grammars for each. ! b) Is L₁ L2 a CFL? Justify your answer.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Intelligent Machines
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
  • 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