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}*.
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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Transcribed Image Text: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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F704b827e-deaa-44d8-a770-4a53587ae624%2Fc2e296b0-db05-4b6e-afc3-76c2c2d94ce7%2Fql112he_processed.png&w=3840&q=75)
Transcribed Image Text:**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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