What happens in Example 9.10 if the string \( w \) contains any symbol other than 1? **Example 9.10**Design a Turing machine that copies strings of 1’s. More precisely, find a machine that performs the computation\[q_0w \vdash^* q_f ww,\]for any \( w \in \{1\}^+ \).To solve the problem, we implement the following intuitive process:1. Replace every 1 by an \( x \).2. Find the rightmost \( x \) and replace it with 1.3. Travel to the right end of the current nonblank region and create a 1 there.4. Repeat Steps 2 and 3 until there are no more \( x \)'s.The solution is shown in the transition graph in **Figure 9.7**. It may be a little hard to see at first that the solution is correct, so let us trace the program with the simple string 11. The computation performed in this case is

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Answered: Design a Turing machine that copies…

Design a Turing machine that copies strings of 1's. More precisely, find a machine that performs the computation gow Fafww, for any w e{1}*.

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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Question

What happens in Example 9.10 if the string \( w \) contains any symbol other than 1?

**Example 9.10**

Design a Turing machine that copies strings of 1’s. More precisely, find a machine that performs the computation

\[
q_0w \vdash^* q_f ww,
\]

for any \( w \in \{1\}^+ \).

To solve the problem, we implement the following intuitive process:

1. Replace every 1 by an \( x \).

2. Find the rightmost \( x \) and replace it with 1.

3. Travel to the right end of the current nonblank region and create a 1 there.

4. Repeat Steps 2 and 3 until there are no more \( x \)'s.

The solution is shown in the transition graph in **Figure 9.7**. It may be a little hard to see at first that the solution is correct, so let us trace the program with the simple string 11. The computation performed in this case is

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