Can you support me in addressing this difficulty, specifically in section 1.10 part C? I'm encountering significant challenges, and I've attached both Exercise 1.6m and the necessary theorem for your reference. To address the queries in 1.10 part C, Exercise 1.6m plays a crucial role. The relevant theorem is also included for your convenience. If feasible, could you generate a visual representation, such as a state diagram, to enhance my understanding of the concept?I have incorporated Theorem 1.49 to aid in responding to the question.Question 1.10:Utilize the method outlined in the proof of Theorem 1.49 to produce state diagrams for NFAs recognizing the star of the languages described inc. Exercise 1.6m.Exercise 1.6m:Provide state diagrams of DFAs recognizing the following languages. The alphabet for all parts is {0,1}.m. The empty set THEOREM1.49The class of regular languages is closed under the star operation.PROOF IDEA We have a regular language A₁ and want to prove that A₁ alsois regular. We take an NFA N₁ for A₁ and modify it to recognize At, as shown inthe following figure. The resulting NFA N will accept its input whenever it canbe broken into several pieces and N₁ accepts each piece.We can construct N like N₁ with additional e arrows returning to the startstate from the accept states. This way, when processing gets to the end of a piecethat N₁ accepts, the machine N has the option of jumping back to the start stateto try to read another piece that N₁ accepts. In addition, we must modify Nso that it accepts e, which always is a member of A. One (slightly bad) idea issimply to add the start state to the set of accept states. This approach certainlyadds e to the recognized language, but it may also add other, undesired strings.Exercise 1.15 asks for an example of the failure of this idea. The way to fix it isto add a new start state, which also is an accept state, and which has an e arrowto the old start state. This solution has the desired effect of addinge to thelanguage without adding anything else.N₁OORANG OROWODDAPO UNA 5 000 EURO DOO ONASIN 300 000ON€O

In Exercise 1.6m, the task is to provide state diagrams of DFAs recognizing the language…

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Database System Concepts

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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Can you support me in addressing this difficulty, specifically in section 1.10 part C? I'm encountering significant challenges, and I've attached both Exercise 1.6m and the necessary theorem for your reference. To address the queries in 1.10 part C, Exercise 1.6m plays a crucial role. The relevant theorem is also included for your convenience. If feasible, could you generate a visual representation, such as a state diagram, to enhance my understanding of the concept?

I have incorporated Theorem 1.49 to aid in responding to the question.

Question 1.10:
Utilize the method outlined in the proof of Theorem 1.49 to produce state diagrams for NFAs recognizing the star of the languages described in

c. Exercise 1.6m.

Exercise 1.6m:
Provide state diagrams of DFAs recognizing the following languages. The alphabet for all parts is {0,1}.

m. The empty set

THEOREM
1.49
The class of regular languages is closed under the star operation.
PROOF IDEA We have a regular language A₁ and want to prove that A₁ also
is regular. We take an NFA N₁ for A₁ and modify it to recognize At, as shown in
the following figure. The resulting NFA N will accept its input whenever it can
be broken into several pieces and N₁ accepts each piece.
We can construct N like N₁ with additional e arrows returning to the start
state from the accept states. This way, when processing gets to the end of a piece
that N₁ accepts, the machine N has the option of jumping back to the start state
to try to read another piece that N₁ accepts. In addition, we must modify N
so that it accepts e, which always is a member of A. One (slightly bad) idea is
simply to add the start state to the set of accept states. This approach certainly
adds e to the recognized language, but it may also add other, undesired strings.
Exercise 1.15 asks for an example of the failure of this idea. The way to fix it is
to add a new start state, which also is an accept state, and which has an e arrow
to the old start state. This solution has the desired effect of addinge to the
language without adding anything else.
N₁
O
ORANG OROWODDAPO UNA 5 000 EURO DOO ONASIN 300 000
O
N
€
O

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