Exercise 4 For each of the grammars in Exercise 3 except the last, give an unam- biguous grammar for the same language. (The last grammar in that exercise is a classic example of an inherently ambiguous grammar-it cannot be fixed!) c. The following grammar for strings of balanced parentheses. (A language of any number of different kinds of balanced parentheses is called a Dyck lan- guage. This type of language plays an interesting role in the theory of formal languages.) ::= | ( ) | () You need to work on part(c) following the examples in part(a) and (b) to give an unambiguous 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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Exercise 4 For each of the grammars in Exercise 3 except the last, give an unam-
biguous grammar for the same language. (The last grammar in that exercise is a
classic example of an inherently ambiguous grammar-it cannot be fixed!)
c. The following grammar for strings of balanced parentheses. (A language of
any number of different kinds of balanced parentheses is called a Dyck lan-
guage. This type of language plays an interesting role in the theory of formal
languages.)
<S> <S> |
| ( <s> ) | ()
You need to work on part(c) following the examples in part(a) and (b) to give an unambiguous
grammar.
Transcribed Image Text:Exercise 4 For each of the grammars in Exercise 3 except the last, give an unam- biguous grammar for the same language. (The last grammar in that exercise is a classic example of an inherently ambiguous grammar-it cannot be fixed!) c. The following grammar for strings of balanced parentheses. (A language of any number of different kinds of balanced parentheses is called a Dyck lan- guage. This type of language plays an interesting role in the theory of formal languages.) <S> <S> | | ( <s> ) | () You need to work on part(c) following the examples in part(a) and (b) to give an unambiguous grammar.
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