Problem 2 Let L be the language over the alphabet Σ = {a,b,c} that consists of exactly those strings over Σ that satisfy all of the following conditions. (a) the length of the string is equal to 6n +3 for some natural number n ≥ 0; (b) if the first (leftmost) symbol is a, then the second symbol is b; (c) if the first (leftmost) symbol is b, then the third symbol is c; (d) if the first (leftmost) symbol is c, then the second symbol is a and the third symbol is a. 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: Answer: See Figure 2.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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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. 

{a,b,c} that consists of exactly those strings over
Problem 2 Let L be the language over the alphabet Σ
=
Σ that satisfy all of the following conditions.
(a) the length of the string is equal to 6n +3 for some natural number n ≥ 0;
(b) if the first (leftmost) symbol is a, then the second symbol is b;
(c) if the first (leftmost) symbol is b, then the third symbol is c;
(d) if the first (leftmost) symbol is c, then the second symbol is a and the third symbol is a.
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:
Answer: See Figure 2.
Transcribed Image Text:{a,b,c} that consists of exactly those strings over Problem 2 Let L be the language over the alphabet Σ = Σ that satisfy all of the following conditions. (a) the length of the string is equal to 6n +3 for some natural number n ≥ 0; (b) if the first (leftmost) symbol is a, then the second symbol is b; (c) if the first (leftmost) symbol is b, then the third symbol is c; (d) if the first (leftmost) symbol is c, then the second symbol is a and the third symbol is a. 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: Answer: See Figure 2.
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