Using the grammars, draw trees for the expressions given, then answer the questions. There are tools available for drawing trees, but you may simply draw them by hand, as long as they are neat. Then scan them into a single document and upload in Canvas. Grammar 1 Grammar 2 Grammar 3 → - | → / | → ()| →A | B | C → - | → / | → ()| → A | B | C → / | → - | → ()| → A |B | C 1. Derive parse trees for the expression A-B/C a. using Grammar 1 b. using Grammar 2 C. using Grammar 3 Are any of these parse trees 'better' than any of the others for this expression? Why? 2. Derive parse trees for the expression A-B-C a. using Grammar 1 b. using Grammar 2 c. using Grammar 3 Are any of these parse trees 'better' than any of the others for this expression? Why? 3. Derive parse trees for the expression (A-B)/C a. using Grammar 1 b. using Grammar 2 c. using Grammar 3 Are any of these parse trees 'better' than any of the others for this expression? Why?

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
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Using the grammars, draw trees for the expressions given, then answer the questions. There are tools
available for drawing trees, but you may simply draw them by hand, as long as they are neat. Then
scan them into a single document and upload in Canvas.
Grammar 1
Grammar 2
Grammar 3
<expr> → <term> - <expr>|<term>
<term> → <fact> / <term>|<fact>
<fact> → (<expr>)|<id>
<id> → A | B | C
<expr> → <expr> - <term>|<term>
<term> → <term> / <fact> | <fact>
<expr> → <expr> / <term>| <term>
<term> → <term> - <fact>|<fact>
<fact> → (<expr>)|<id>
<id> → A | B | C
<fact> → (<expr>)|<id>
<id> → A |B | C
1. Derive parse trees for the expression A-B/C
a. using Grammar 1
b. using Grammar 2
C. using Grammar 3
Are any of these parse trees 'better' than any of the others for this expression? Why?
2. Derive parse trees for the expression A-B-C
a. using Grammar 1
b. using Grammar 2
c. using Grammar 3
Are any of these parse trees better' than any of the others for this expression? Why?
3. Derive parse trees for the expression (A-B)/C
a. using Grammar 1
b. using Grammar 2
c. using Grammar 3
Are any of these parse trees 'better' than any of the others for this expression? Why?
Transcribed Image Text:Using the grammars, draw trees for the expressions given, then answer the questions. There are tools available for drawing trees, but you may simply draw them by hand, as long as they are neat. Then scan them into a single document and upload in Canvas. Grammar 1 Grammar 2 Grammar 3 <expr> → <term> - <expr>|<term> <term> → <fact> / <term>|<fact> <fact> → (<expr>)|<id> <id> → A | B | C <expr> → <expr> - <term>|<term> <term> → <term> / <fact> | <fact> <expr> → <expr> / <term>| <term> <term> → <term> - <fact>|<fact> <fact> → (<expr>)|<id> <id> → A | B | C <fact> → (<expr>)|<id> <id> → A |B | C 1. Derive parse trees for the expression A-B/C a. using Grammar 1 b. using Grammar 2 C. using Grammar 3 Are any of these parse trees 'better' than any of the others for this expression? Why? 2. Derive parse trees for the expression A-B-C a. using Grammar 1 b. using Grammar 2 c. using Grammar 3 Are any of these parse trees better' than any of the others for this expression? Why? 3. Derive parse trees for the expression (A-B)/C a. using Grammar 1 b. using Grammar 2 c. using Grammar 3 Are any of these parse trees 'better' than any of the others for this expression? Why?
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