Given a grammar of the form: -> | | | + > 0 1 | 2 |...19 where ! means negation (i.e., !3 means -3, 7 means -7 and so on). 1. Derive the string !!9+4-12 and evaluate it arithmetically (assume standard arithmetic mean- ings for all terminals while evaluating). 2. State whether it is ambiguous or unambiguous. If it is ambiguous give an equivalent unam- biguous grammar. If it is unambiguous, states all the precedences and associativities enforced by the grammar.

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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Given a grammar of the form:
<S> -> <D> | <S>
<D> > 0 | 1 | 2 1...19
where ! means negation (i.e., !3 means -3, !7 means -7 and so on).
<S> - <S> | <S> + <S>
1. Derive the string !!9+4-12 and evaluate it arithmetically (assume standard arithmetic mean-
ings for all terminals while evaluating).
2. State whether it is ambiguous or unambiguous. If it is ambiguous give an equivalent unam-
biguous grammar. If it is unambiguous, states all the precedences and associativities enforced
by the grammar.
Transcribed Image Text:Given a grammar of the form: <S> -> <D> | <S> <D> > 0 | 1 | 2 1...19 where ! means negation (i.e., !3 means -3, !7 means -7 and so on). <S> - <S> | <S> + <S> 1. Derive the string !!9+4-12 and evaluate it arithmetically (assume standard arithmetic mean- ings for all terminals while evaluating). 2. State whether it is ambiguous or unambiguous. If it is ambiguous give an equivalent unam- biguous grammar. If it is unambiguous, states all the precedences and associativities enforced by the grammar.
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