(9) If L₁ and L2 are not regular languages, then L₁ L₂ is not regular. True O False

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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For each of the following statements, state whether it is True or False. 

The image contains a question about the properties of formal languages. The question reads: 

"(9) If L₁ and L₂ are not regular languages, then L₁ ∩ L₂ is not regular."

Below the question, there are two options:

- ( ) True
- ( ) False

This question tests the understanding of the closure properties of regular languages, particularly focusing on whether the intersection of two non-regular languages results in a non-regular language.
Transcribed Image Text:The image contains a question about the properties of formal languages. The question reads: "(9) If L₁ and L₂ are not regular languages, then L₁ ∩ L₂ is not regular." Below the question, there are two options: - ( ) True - ( ) False This question tests the understanding of the closure properties of regular languages, particularly focusing on whether the intersection of two non-regular languages results in a non-regular language.
Expert Solution
Step 1: Definition of Regular Language:

A finite automaton, which is a hypothetical machine with a finite number of states, is able to recognise and produce a certain kind of formal language known as a regular language. According to formal language theory, regular languages are the most basic category of languages and can be described using a number of equivalent techniques.


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