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.

i) E is starting state using production (2) E->E+E using production (3) E->E+E÷E using…

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.

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

Section: Chapter Questions

Problem 1PE

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Question

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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