A grammar G is ambiguous if it produces several (more than 1) derivation trees for the same string in L(G). Consider the following grammar: 1. + ; 2. ; 3. → ( ); 4. → a; 5. → b; 6. → c; Show that G is ambiguous.

A grammar G is ambiguous if it produces several (more than 1) derivation trees for the same string in L(G). Consider the following grammar: 1. + ; 2. ; 3. → ( ); 4. → a; 5. → b; 6. → c; Show that G is ambiguous.

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

A grammar G is ambiguous if it produces several (more than 1) derivation trees for the same string in L(G). Consider
the following grammar:
<exp> + <exp>;
<exp> * <exp>;
(<exp> );
1. <exp>
2. <exp>
3. <exp>
4. <exp> → a;
5. <exp> → b;
6. <exp> → c;
Show that G is ambiguous.

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