Show that the language {www | w e {a,b}*} is not context-free.
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
Problem 1PE
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Transcribed Image Text:Show that the language {www | w e {a,b}*} is not context-free.
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Step 1
We can show a language is not context-free using Pumping lemma for context free languages
Pumping lemma for context free languages:
if a Language L is CFL, there exists an integer p, such that for any string Z belongs to L, Z can be written as Z=abcde, where b,d are not empty and |bcd|<=p, then for all i>=0, ab^icd^ie belongs to L
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