8) Consider the unambiguous expression grammar G' of Example 11.19. a) Trace the derivation of the string id+id*id*id in G'. b) Add exponentiation (**) and unary minus (-) to G', assigning the highest precedence to unary minus, followed by exponentiation, multiplication, and addition, in that order.
8) Consider the unambiguous expression grammar G' of Example 11.19. a) Trace the derivation of the string id+id*id*id in G'. b) Add exponentiation (**) and unary minus (-) to G', assigning the highest precedence to unary minus, followed by exponentiation, multiplication, and addition, in that order.
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
Related questions
Question
![Example 11.19
An Unambiguous Expression Grammar
Consider again the language Expr, which we defined with the following context-free grammar G=({E, id, +, *, (, )},
{id, +, *, (, )}, R, E), where:
R={E→E+E
E EE
E→ (E)
Eid}.
G is ambiguous in two ways:
1.
2.
It fails to specify associativity. So, for example, there are two parses for the string id+id+ id, corresponding
to the bracketings (id+id) + id and id+(id+id).
It fails to define a precedence hierarchy for the operators + and *. So, for example, there are two parses for the
string id + id * id, corresponding to the bracketings (id+id) * id and id+(id * id).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36fd9238-414f-4e5e-b00a-4398e187562f%2F3ca94af1-e2f6-4741-b2f0-7a970d85ddae%2Fvvyyq68_processed.png&w=3840&q=75)
Transcribed Image Text:Example 11.19
An Unambiguous Expression Grammar
Consider again the language Expr, which we defined with the following context-free grammar G=({E, id, +, *, (, )},
{id, +, *, (, )}, R, E), where:
R={E→E+E
E EE
E→ (E)
Eid}.
G is ambiguous in two ways:
1.
2.
It fails to specify associativity. So, for example, there are two parses for the string id+id+ id, corresponding
to the bracketings (id+id) + id and id+(id+id).
It fails to define a precedence hierarchy for the operators + and *. So, for example, there are two parses for the
string id + id * id, corresponding to the bracketings (id+id) * id and id+(id * id).
![8) Consider the unambiguous expression grammar G' of Example 11.19.
a)
Trace the derivation of the string id+id*id*id in G'.
b) Add exponentiation (**) and unary minus (-) to Gʻ, assigning the highest precedence to unary minus, followed
by exponentiation, multiplication, and addition, in that order.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36fd9238-414f-4e5e-b00a-4398e187562f%2F3ca94af1-e2f6-4741-b2f0-7a970d85ddae%2Fs1ck7aa_processed.png&w=3840&q=75)
Transcribed Image Text:8) Consider the unambiguous expression grammar G' of Example 11.19.
a)
Trace the derivation of the string id+id*id*id in G'.
b) Add exponentiation (**) and unary minus (-) to Gʻ, assigning the highest precedence to unary minus, followed
by exponentiation, multiplication, and addition, in that order.
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