Concepts of Programming Languages (11th Edition)
Concepts of Programming Languages (11th Edition)
11th Edition
ISBN: 9780133943023
Author: Robert W. Sebesta
Publisher: PEARSON
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Chapter 3, Problem 10PS

Explanation of Solution

Consider the following grammar:

<S> -> <A><B><C>

<A> -> a <A> | a

<B> -> b <B> | b

<C> -> c <C> | c

In the given case, <A><B><C> generates all sentences which consists one or more than one a's followed by one or more than one b's followed by one or more than one c's.

<A> generates one or more than one consecutive a's.

<B> generates one or more than one consecutive b's.

<C> generates one or more than one consecutive c's...

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1a. Fill out the following blanks to make it a context-free grammar for the given language over the alphabet {a, b}: 1b. Fill out the following blanks to make it a context-free grammar for the given language:
Backus Naur Form (BNF) is a standard notation for expressing syntax as a set of grammar rules. Figure 1 below shows a grammar for assignment with arithmetic operations, e.g. y = (2*x + 5)*x - 7; assignment => ID = expression ; expression => expression + term I expression - term I term term term * factor | term / factor | factor ( expression ) | ID | NUMBER factor => Figure 1. Grammar (a) Identify and list all the non-terminal symbols in the grammar (b) Identify and list all the terminal symbols in the grammar
Context free grammar
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