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(6) If L is context free, then LU¬L must be regular. O True O False

(6) If L is context free, then LU¬L must be regular. O True O False

Database System Concepts
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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**Question:** (6) If L is context free, then \( L \cup \neg L \) must be regular. **Options:** - ○ True - ○ False **Explanation:** The question presents a statement regarding formal languages. It asks if the union of a context-free language \( L \) with its complement \( \neg L \) results in a regular language. You must choose whether this statement is true or false based on your understanding of formal language theory.
Transcribed Image Text:**Question:** (6) If L is context free, then \( L \cup \neg L \) must be regular. **Options:** - ○ True - ○ False **Explanation:** The question presents a statement regarding formal languages. It asks if the union of a context-free language \( L \) with its complement \( \neg L \) results in a regular language. You must choose whether this statement is true or false based on your understanding of formal language theory.
Expert Solution
Step 1: What are context-free languages?

In the fields of automata theory and formal language theory, context-free languages (CFLs) are a class of formal languages.

They are identified by pushdown automata, a kind of automaton, and are specified using context-free grammars.

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