Construct a deterministic two-tape Turing machine, which begins with a string of the form an on the first tape, and a string of the form a™ on the second tape. (n, m € N.) Both heads begin scanning the left-most character of each string. The Turing machine should accept if the number n is an integer multiple of the number m; i.e. there is some integer k such that n=k-m. First, describe the algorithm that your machine uses. Then draw a transition diagram for the machine. To answer properly, your machine should handle the cases when either n or m is zero correctly.

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
icon
Related questions
Question
Construct a deterministic two-tape Turing machine, which begins with a string of the form an on
the first tape, and a string of the form a" on the second tape. (n, m € N.) Both heads begin
scanning the left-most character of each string. The Turing machine should accept if the number
n is an integer multiple of the number m; i.e. there is some integer k such that n=k.m.
First, describe the algorithm that your machine uses. Then draw a transition diagram for the
machine. To answer properly, your machine should handle the cases when either n or m is zero
correctly.
Transcribed Image Text:Construct a deterministic two-tape Turing machine, which begins with a string of the form an on the first tape, and a string of the form a" on the second tape. (n, m € N.) Both heads begin scanning the left-most character of each string. The Turing machine should accept if the number n is an integer multiple of the number m; i.e. there is some integer k such that n=k.m. First, describe the algorithm that your machine uses. Then draw a transition diagram for the machine. To answer properly, your machine should handle the cases when either n or m is zero correctly.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Problems on Turing Machines
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education