
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
A palindrome is a string that reads the same backward as it does forward. For example, abaaaba is a palindrome. Suppose that we need to define a language that generates palindromes.
(a) Define a phase structure grammar that generates the set of all palindromes over the alphabet {a, b}
clearly describing the recursive rules that generates palindromes. Use the notation Symbol → rule. The
empty set is denoted by λ. Clearly identify the terminal and non-terminal symbols in your grammar.
(b) Show that the palindrome abaaaba can be recognized by your grammar. To show this, show all steps
of parsing the expression abaaaba using the rules you defined above.
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