I hope this message finds you well. I am seeking your assistance with a challenging problem, specifically 1.9A. I've attached a photo of my work, which unfortunately was marked as incorrect. Could you please review my approach and guide me on where I may have gone wrong? Additionally, a visual representation of the correct solution would be immensely helpful for better understanding. I've also included Theorem 1.47 in my attachments, and I was wondering if you could provide some insights to help me comprehend its implications.It's worth noting that question 1.6 and the theorem are prerequisites for problem 1.9, so any guidance on those would be greatly appreciated as well.question for 1.9:1.9 Use the construction in the proof of Theorem 1.47 to give the state diagrams of NFAs recognizing the concatenation of the languages described ina. Exercises 1.6g and 1.6iquestion for exercises 1.61.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}.g. {w| the length of w is at most 5}i. {w| every odd position of w is a 1} THEOREM 1.47The class of regular languages is closed under the concatenation operation.PROOF IDEA We have regular languages A₁ and A2 and want to prove thatA₁ A2 is regular. The idea is to take two NFAs, N₁ and N₂ for A₁ and A2, andcombine them into a new NFA N as we did for the case of union, but this timein a different way, as shown in Figure 1.48.Assign N's start state to be the start state of N₁. The accept states of №₁ haveadditional e arrows that nondeterministically allow branching to N₂ wheneverN₁ is in an accept state, signifying that it has found an initial piece of the inputthat constitutes a string in A₁. The accept states of N are the accept states of N₂only. Therefore, it accepts when the input can be split into yo parts, the firstaccepted by N₁ and the second by N2. We can think of N as nondeterministicallyguessing where to make the split.yright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to clectronic rights, some third party content may be suppressed fromk and/or cChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additicontent at any time if subsequent rights restrictions require itNN₁TO BRODONanean D DOO ODNONG TO DO NORDnd go andOOO Oо оN₂3331.2E8 itoNONDETERMINISMO Oоо61 qTsbq400VgbED0zbU01O0b

We need to rectify the error for the given NFA, which is a concatenation of 2 languages.

Answered: Use the construction in the proof of…

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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I hope this message finds you well. I am seeking your assistance with a challenging problem, specifically 1.9A. I've attached a photo of my work, which unfortunately was marked as incorrect. Could you please review my approach and guide me on where I may have gone wrong? Additionally, a visual representation of the correct solution would be immensely helpful for better understanding. I've also included Theorem 1.47 in my attachments, and I was wondering if you could provide some insights to help me comprehend its implications.

It's worth noting that question 1.6 and the theorem are prerequisites for problem 1.9, so any guidance on those would be greatly appreciated as well.

question for 1.9:
1.9 Use the construction in the proof of Theorem 1.47 to give the state diagrams of NFAs recognizing the concatenation of the languages described in

a. Exercises 1.6g and 1.6i

question for exercises 1.6

1.6 Give state diagrams of DFAs recognizing the following languages. In all parts, the alphabet is {0,1}.

g. {w| the length of w is at most 5}

i. {w| every odd position of w is a 1}

THEOREM 1.47
The class of regular languages is closed under the concatenation operation.
PROOF IDEA We have regular languages A₁ and A2 and want to prove that
A₁ A2 is regular. The idea is to take two NFAs, N₁ and N₂ for A₁ and A2, and
combine them into a new NFA N as we did for the case of union, but this time
in a different way, as shown in Figure 1.48.
Assign N's start state to be the start state of N₁. The accept states of №₁ have
additional e arrows that nondeterministically allow branching to N₂ whenever
N₁ is in an accept state, signifying that it has found an initial piece of the input
that constitutes a string in A₁. The accept states of N are the accept states of N₂
only. Therefore, it accepts when the input can be split into yo parts, the first
accepted by N₁ and the second by N2. We can think of N as nondeterministically
guessing where to make the split.
yright 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to clectronic rights, some third party content may be suppressed from
k and/or cChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additi
content at any time if subsequent rights restrictions require it
N
N₁
TO BRODONanean D DOO ODNONG TO DO NORDnd go and
O
O
O O
о о
N₂
333
1.2
E
8 ito
NONDETERMINISM
O O
оо
61

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