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 = 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 = TRUE FALSE