For each of the languages below, determine whether the language is regular or not. If the language is regular, build a DFA or an NFA that accepts it. If it is not, prove this using the Pumping Lemma or the Fooling Set method. (5.a) A language of strings over Σ = {a, b} which contain twice as many symbols b as symbols a. (5.b) L = {uwu |u, w ∈{a, b}∗, |u|= 2}. (5.c) L = {ai#aj #ak |at least two of the numbers i, j, k are equal}.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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For each of the languages below, determine whether the language is regular or not. If
the language is regular, build a DFA or an NFA that accepts it. If it is not, prove this using the Pumping
Lemma or the Fooling Set method.
(5.a) A language of strings over Σ = {a, b} which contain twice as many symbols b as symbols a.
(5.b) L = {uwu |u, w ∈{a, b}∗, |u|= 2}.
(5.c) L = {ai#aj #ak |at least two of the numbers i, j, k are equal}.
This is the end of the assignment. Good luck!

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