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Suppose L = {w/w # 0^n 1^n for any ne N} is a language over the alphabet {0, 1}. Prove that L is context free by giving a PDA that accepts it. Examples: • E&L, 0000 € L, . 0011 L, • 111100 € L, • 01111 € L, • 1001€ L

Suppose L = {w/w # 0^n 1^n for any ne N} is a language over the alphabet {0, 1}. Prove that L is context free by giving a PDA that accepts it. Examples: • E&L, 0000 € L, . 0011 L, • 111100 € L, • 01111 € L, • 1001€ L

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
Problem 1PE
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**Proving Language Context-Freeness** Consider the language \( L = \{w | w \neq 0^n 1^n \text{ for any } n \in \mathbb{N}\} \) over the alphabet \(\{0, 1\}\). The task is to demonstrate that \( L \) is context-free by providing a Pushdown Automaton (PDA) that accepts it. Here are some examples: - \( \varepsilon \notin L \) - \( 0000 \in L \) - \( 0011 \notin L \) - \( 111100 \in L \) - \( 01111 \in L \) - \( 1001 \in L \)
Transcribed Image Text:**Proving Language Context-Freeness** Consider the language \( L = \{w | w \neq 0^n 1^n \text{ for any } n \in \mathbb{N}\} \) over the alphabet \(\{0, 1\}\). The task is to demonstrate that \( L \) is context-free by providing a Pushdown Automaton (PDA) that accepts it. Here are some examples: - \( \varepsilon \notin L \) - \( 0000 \in L \) - \( 0011 \notin L \) - \( 111100 \in L \) - \( 01111 \in L \) - \( 1001 \in L \)
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