Write a grammar for Boolean expressions , assuming that we already have rules in our grammar for arithmetic expressions . Arithmetic expressions might be simple literals like 3 or 97 or may be more complex syntactic units like (3+x)/4. They evaluate to a number. You needn't concern yourself with their structure; just that they can be used as below. Boolean expressions include the literals TRUE and FALSE; they can be combined with the unary operator ! (meaning NOT) and binary operators && and || (meaning AND and OR). Also, arithmetic expressions can be combined with the following binary operators to form new Boolean expressions: <, >, <=, >=, !=. When your grammar is complete, you should be able to derive parse trees for expressions like the following: TRUE || FALSE FALSE && !TRUE 27<32 || x != 15 To get you started, here's a preliminary rule: = TRUE | FALSE

Write a grammar for Boolean expressions , assuming that we already have rules in our grammar for arithmetic expressions . Arithmetic expressions might be simple literals like 3 or 97 or may be more complex syntactic units like (3+x)/4. They evaluate to a number. You needn't concern yourself with their structure; just that they can be used as below. Boolean expressions include the literals TRUE and FALSE; they can be combined with the unary operator ! (meaning NOT) and binary operators && and || (meaning AND and OR). Also, arithmetic expressions can be combined with the following binary operators to form new Boolean expressions: <, >, <=, >=, !=. When your grammar is complete, you should be able to derive parse trees for expressions like the following: TRUE || FALSE FALSE && !TRUE 27<32 || x != 15 To get you started, here's a preliminary rule: = TRUE | FALSE

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

Write a grammar for Boolean expressions <bool>, assuming that we already have rules in our
grammar for arithmetic expressions <expr>. Arithmetic expressions <expr> might be simple
literals like 3 or 97 or may be more complex syntactic units like (3+x)/4. They evaluate to a
number. You needn't concern yourself with their structure; just that they can be used as below.
Boolean expressions include the literals TRUE and FALSE; they can be combined with the unary
operator ! (meaning NOT) and binary operators && and || (meaning AND and OR). Also,
arithmetic expressions can be combined with the following binary operators to form new
Boolean expressions: <, >, <=, >=, !=.
When your grammar is complete, you should be able to derive parse trees for expressions like
the following:
TRUE || FALSE
FALSE && !TRUE
27<32 || x != 15
To get you started, here's a preliminary rule:
<bool> = TRUE | FALSE

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