Theory of Computation homeworkPlease help me understand how to do this with as much information as possible please. I have finals coming up and I need to understand how to properly do these questions and I really don't understand it. Thanks in advance. I will upvote if the answer returned is correct and got enough information for me to understand. Problem 1 Let L be the language over the alphabet Σ = {a, b, c, g} that consists of exactly those stringsover that satisfy all of the following conditions.(a) the string is a concatenation of zero or more component substrings;(b) the length of each component substring is equal to 3;(c) the three letters in a component substring are different from each other;(d) within a component substring, the three letters are ordered alphabetically (smallest to the left).If L is regular, then use part (a) of the answer space below to draw a state-transition graph of a finite automatonthat accepts L, and do not write anything in part (b).If L is not regular, then do not write anything in part (a) of the answer space, but complete the missing partsof the text given in part (b) so as to obtain a proof that L is not regular.(a) finite automaton for L:

L is the language over {a,b,c,g} with following conditions a)the string is a concatenation of zero…

Answered: Problem 1 Let L be the language over…

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Theory of Computation homework

Please help me understand how to do this with as much information as possible please. I have finals coming up and I need to understand how to properly do these questions and I really don't understand it. Thanks in advance. I will upvote if the answer returned is correct and got enough information for me to understand.

Problem 1 Let L be the language over the alphabet Σ = {a, b, c, g} that consists of exactly those strings
over that satisfy all of the following conditions.
(a) the string is a concatenation of zero or more component substrings;
(b) the length of each component substring is equal to 3;
(c) the three letters in a component substring are different from each other;
(d) within a component substring, the three letters are ordered alphabetically (smallest to the left).
If L is regular, then use part (a) of the answer space below to draw a state-transition graph of a finite automaton
that accepts L, and do not write anything in part (b).
If L is not regular, then do not write anything in part (a) of the answer space, but complete the missing parts
of the text given in part (b) so as to obtain a proof that L is not regular.
(a) finite automaton for L:

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