5. Show that the following language is not regular. L = {a^b* : n>k}U {a¹bk : n ‡ k − 1} Hint: simplify how L is defined first. Then prove by contradiction that it is not regular. If it is regular, then Ln L(a*b*) should be regular as well (why?). However, you can show that it is not regular using the pumping lemma.

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
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5.
Show that the following language is not regular.
L = {a²bk : n > k} U {a¹bk : n‡k − 1}
Hint: simplify how L is defined first. Then prove by contradiction that it is not regular. If it
is regular, then In L(a*b*) should be regular as well (why?). However, you can show that it is
not regular using the pumping lemma.
Transcribed Image Text:5. Show that the following language is not regular. L = {a²bk : n > k} U {a¹bk : n‡k − 1} Hint: simplify how L is defined first. Then prove by contradiction that it is not regular. If it is regular, then In L(a*b*) should be regular as well (why?). However, you can show that it is not regular using the pumping lemma.
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