d. For each of the following strings, state whether it can be derived from the rules of the grammar of Figure 7.5. If it can, draw the corresponding syntax tree: a + ( a ) a * ( + a )

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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d. For each of the following strings, state whether it can be derived from the rules of the grammar of Figure 7.5. If it can, draw the corresponding syntax tree:

a + ( a )

a * ( + a )

FIGURE 7.5
A grammar for
expressions.
Nonterminal E
represents the
expression. T
represents a term
and Fa factor in the
expression.
N = {E,T,F}
T = { +, *, (, ) , a}
P = the productions
1. E → E + T
2. E → T
3. T T * F
4. T-F
5. F→ (E)
6. F→ a
S = E
Transcribed Image Text:FIGURE 7.5 A grammar for expressions. Nonterminal E represents the expression. T represents a term and Fa factor in the expression. N = {E,T,F} T = { +, *, (, ) , a} P = the productions 1. E → E + T 2. E → T 3. T T * F 4. T-F 5. F→ (E) 6. F→ a S = E
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