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A Grammar for a Simple Assignment Statements GIVEN: → = → A | B | C → + | * | () | QUESTIONS: Write the statement A = (A + B) * C using the grammar above. → = → A = → A = * → A = C * → A = C * () → A = C * ( + ) → A = C * (A + ) → A = C * (A + ) → A = C * (A + B) //not sure if this is ok (same here)   Write the statement A = A + (B * C) using the grammar above. -> =                            ->  A =                            ->  A = +   ->  A = A +                            -> A = A + ()                            -> A = A + ( * )                            -> A = A + (B * )     -> A = A + (B * )                            -> A = A + (B * C) Is the given grammar ambiguous?  If YES → modified version that will make it unambiguous. If NO → identify at least 3 reasons why the grammar is NOT ambiguous.

A Grammar for a Simple Assignment Statements GIVEN: → = → A | B | C → + | * | () | QUESTIONS: Write the statement A = (A + B) * C using the grammar above. → = → A = → A = * → A = C * → A = C * () → A = C * ( + ) → A = C * (A + ) → A = C * (A + ) → A = C * (A + B) //not sure if this is ok (same here)   Write the statement A = A + (B * C) using the grammar above. -> =                            ->  A =                            ->  A = +   ->  A = A +                            -> A = A + ()                            -> A = A + ( * )                            -> A = A + (B * )     -> A = A + (B * )                            -> A = A + (B * C) Is the given grammar ambiguous?  If YES → modified version that will make it unambiguous. If NO → identify at least 3 reasons why the grammar is NOT ambiguous.

Database System Concepts
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 for a Simple Assignment Statements

GIVEN:

<assign> → <id> = <expr>

<id> → A | B | C

<expr> → <id > + <expr>

| <id > * <expr>

| (<expr>)

| <id>

QUESTIONS:

  1. Write the statement A = (A + B) * C using the grammar above.

<assign> → <id> = <expr>

→ A = <expr>

→ A = <id > * <expr>

→ A = C * <expr>

→ A = C * (<expr>)

→ A = C * (<id> + <expr>)

→ A = C * (A + <expr>)

→ A = C * (A + <id>)

→ A = C * (A + B) //not sure if this is ok (same here)

 

  1. Write the statement A = A + (B * C) using the grammar above.

<assign> -> <id> = <expr>

                           ->  A = <expr>

                           ->  A = <id> + <expr>

  ->  A = A + <expr>

                           -> A = A + (<expr>)

                           -> A = A + (<id> * <expr>)

                           -> A = A + (B * <expr>)

    -> A = A + (B * <id>)

                           -> A = A + (B * C)

  1. Is the given grammar ambiguous? 
  2. If YES → modified version that will make it unambiguous.
  3. If NO → identify at least 3 reasons why the grammar is NOT ambiguous. 
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