The correct statements are: The intersection of a regular language and a non-regular language must be regular. If L₁ and L2 are regular languages and L₁ CLC L2, then L must be regular. If L = L₁ L₂ and L is regular, then L₁ and L₂ must be regular. None of other statements are correct.

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
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The correct statements are:

- [ ] The intersection of a regular language and a non-regular language must be regular.
- [ ] If \( L_1 \) and \( L_2 \) are regular languages and \( L_1 \subseteq L \subseteq L_2 \), then \( L \) must be regular.
- [ ] If \( L = L_1 \cap L_2 \) and \( L \) is regular, then \( L_1 \) and \( L_2 \) must be regular.
- [ ] None of other statements are correct.
Transcribed Image Text:The correct statements are: - [ ] The intersection of a regular language and a non-regular language must be regular. - [ ] If \( L_1 \) and \( L_2 \) are regular languages and \( L_1 \subseteq L \subseteq L_2 \), then \( L \) must be regular. - [ ] If \( L = L_1 \cap L_2 \) and \( L \) is regular, then \( L_1 \) and \( L_2 \) must be regular. - [ ] None of other statements are correct.
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