**Question:**(1) If \( L_1 \) and \( L_2 \) are context free, then it is possible that \( L_1 \cap L_2 \) is not context free.- ○ True- ○ False**Explanation:**This question addresses the properties of context-free languages. While the union of two context-free languages is always context-free, their intersection is not necessarily context-free. This property distinguishes context-free languages from regular languages, where both union and intersection are closed operations. The answer is "True."

Answered: (1) If L₁ and L2 are context free, then…

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

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Step 1: Introduce context free grammar

In the realm of formal languages, the closure properties of language classes dictate what operations can be performed on languages within those classes while maintaining membership in the same class. One important class of languages is the context-free languages. In the next step, we will explore the closure property related to the intersection of two context-free languages shedding light on why the intersection of context-free languages may not always yield a context-free language.

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