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.
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
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:{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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