1. Consider the grammar G=(V,T,E,P) with V={E,I}, T={a,b,c,+,+,(.) }. and productions E → I, E → E+ E, E → E + E, E → (E), I = a |b|c. ) Show that G is ambiguous by giving two different derivation trees for string b+c + a (11) Change the above grammar into the one without ambiguity.

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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1. Consider the grammar G=(V,T,E,P) with V={E,I}, T={a,b,c,+,÷,(,)}, and productions

\[ E \to I, \]
\[ E \to E + E, \]
\[ E \to E ÷ E, \]
\[ E \to (E), \]
\[ I \to a \mid b \mid c. \]

(i) Show that G is ambiguous by giving two different derivation trees for string \( b + c ÷ a \).

(ii) Change the above grammar into one without ambiguity.
Transcribed Image Text:1. Consider the grammar G=(V,T,E,P) with V={E,I}, T={a,b,c,+,÷,(,)}, and productions \[ E \to I, \] \[ E \to E + E, \] \[ E \to E ÷ E, \] \[ E \to (E), \] \[ I \to a \mid b \mid c. \] (i) Show that G is ambiguous by giving two different derivation trees for string \( b + c ÷ a \). (ii) Change the above grammar into one without ambiguity.
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