Question: consider the grammar G = (V, T, E, P), where V = {E, I} and T= {a, b, c, +, -, x, +, (} with productions E->I| E+E | E-E | EXE |E÷E| (E), I-> a | b |c. Show G is ambiguous (i) (ii) Rewrite G to an equivalent unambiguous grammar.

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
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Question: Consider the grammar \( G = (V, T, E, P) \), where \( V = \{ E, I \} \) and \( T = \{ a, b, c, +, -, \times, +, (, ) \} \) with productions:

\[ 
E \rightarrow I \mid E + E \mid E - E \mid E \times E \mid (E)
\]

\[ 
I \rightarrow a \mid b \mid c
\]

(i) Show \( G \) is ambiguous.

(ii) Rewrite \( G \) to an equivalent unambiguous grammar.
Transcribed Image Text:Question: Consider the grammar \( G = (V, T, E, P) \), where \( V = \{ E, I \} \) and \( T = \{ a, b, c, +, -, \times, +, (, ) \} \) with productions: \[ E \rightarrow I \mid E + E \mid E - E \mid E \times E \mid (E) \] \[ I \rightarrow a \mid b \mid c \] (i) Show \( G \) is ambiguous. (ii) Rewrite \( G \) to an equivalent unambiguous grammar.
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