QUESTION 8. rules: = ({S, A}, {0, 1, 2}, P, S) be a CFG, where P IT: Let G= S→SSS|0A0|1A1|2A2 A →0A1A2|e Construct a CFG to generate the language L(G)° UL(G)¹ UL(G)². ntains The gimplest way is to add a new start variable and a few new rules.

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
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## Question 8.

Let \( G = (\{S, A\}, \{0, 1, 2\}, P, S) \) be a CFG, where \( P \) contains the following rules:
\[ 
S \rightarrow S S \ | \ 0A0 \ | \ 1A1 \ | \ 2A2 
\]
\[ 
A \rightarrow 0A1 \ | \ 2 \epsilon 
\]

Construct a CFG to generate the language \( L(G)^0 \cup L(G)^1 \cup L(G)^2 \).

**Hint**: The simplest way is to add a new start variable and a few new rules.

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Transcribed Image Text:--- ## Question 8. Let \( G = (\{S, A\}, \{0, 1, 2\}, P, S) \) be a CFG, where \( P \) contains the following rules: \[ S \rightarrow S S \ | \ 0A0 \ | \ 1A1 \ | \ 2A2 \] \[ A \rightarrow 0A1 \ | \ 2 \epsilon \] Construct a CFG to generate the language \( L(G)^0 \cup L(G)^1 \cup L(G)^2 \). **Hint**: The simplest way is to add a new start variable and a few new rules. ---
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