Let L2 be the language defined as follows: 12 =( 0"1"0" | n, m20} Which of the following context-free grammars generates the language L2? (Here all uppercase letters are variables) A- OA0 B B - 1B|E O S-SIA A-A|B|E B -S

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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Let \( L_2 \) be the language defined as follows:

\[ L_2 = \{ 0^n1^m0^n \mid n, m \geq 0 \} \]

Which of the following context-free grammars generates the language \( L_2 \)?

(Here all uppercase letters are variables)

1. 
   - \( A \rightarrow 0A0 \mid B \)
   - \( B \rightarrow 1B \mid \epsilon \)

2. 
   - \( S \rightarrow S1 \mid A \)
   - \( A \rightarrow A1 \mid B \)
   - \( B \rightarrow S \)

3. 
   - \( A \rightarrow 0A0 \mid 1A \mid \epsilon \)

4. 
   - \( S \rightarrow 0S0 \mid A \)
   - \( A \rightarrow 1 \mid S \mid \epsilon \)
Transcribed Image Text:Let \( L_2 \) be the language defined as follows: \[ L_2 = \{ 0^n1^m0^n \mid n, m \geq 0 \} \] Which of the following context-free grammars generates the language \( L_2 \)? (Here all uppercase letters are variables) 1. - \( A \rightarrow 0A0 \mid B \) - \( B \rightarrow 1B \mid \epsilon \) 2. - \( S \rightarrow S1 \mid A \) - \( A \rightarrow A1 \mid B \) - \( B \rightarrow S \) 3. - \( A \rightarrow 0A0 \mid 1A \mid \epsilon \) 4. - \( S \rightarrow 0S0 \mid A \) - \( A \rightarrow 1 \mid S \mid \epsilon \)
Expert Solution
Step 1

Answer Option A= > 

A -> 0A0 | B

B -> 1B |  

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