**Determine what the Turing machine in Example 9.7 does when presented with the inputs aba and aaabbbb.****Is there any input for which the Turing machine in Example 9.7 goes into an infinite loop?**No graphs or diagrams are present in the image. **Example 9.7**For Σ = {a, b}, design a Turing machine that accepts \( L = \{a^n b^n : n \geq 1\} \).Intuitively, we solve the problem in the following fashion. Starting at the leftmost \( a \), we check it off by replacing it with some symbol, say \( x \). We then let the read-write head travel right to find the leftmost \( b \), which in turn is checked off by replacing it with another symbol, say \( y \). After that, we go left again to the leftmost \( a \), replace it with an \( x \), then move to the leftmost \( b \) and replace it with \( y \), and so on. Traveling back and forth this way, we match each \( a \) with a corresponding \( b \). If after some time no \( a \)'s or \( b \)'s remain, then the string must be in \( L \).Working out the details, we arrive at a complete solution for which \( Q = \{q_0, q_1, q_2, q_3, q_4\}, F = \{q_4\}, \)Σ = {a, b}, Γ = {a, b, x, y, □}. The transitions can be broken into several parts. The set (Explanation of steps and transitions are not included, but this excerpt outlines the basic approach to constructing the Turing machine for the language \( L \).)

Solution :: Let's see first what is turing machine called :: Turing machine is mathematical model of computation that defines a abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, given any computer algorithm, a Turing machine capable of simulating that algorithm's logic can be constructed.. It is an abstract computational model that performs computations by reading and writing to an infinite tape. Turing machines provide powerful computational model for solving problems in computer science and testing the limits of computation are there problems that we simply cannot solve?Now let's see the solution for given question:: a) Determine what the Turing machine in Example 9.7 does when presented with the inputs aba and aaabbbb. Answer:: for input - aba the Tm rejects the stirng for input - aaabbbb the Tm rejects the stirng as its not in the form anbn b) Is there any input for which the Turing machine in Example 9.7 goes into an infinite loop Answer :: If input is abaabaaba................ like that then it goes into the infinite loop. So thats all this is the answer above for both questions. Thank you ... If you have any doubts please feel free to ask the doubts will solved it ....

Answered: Determine what the Turing machine in…

Engineering

Computer Science

Determine what the Turing machine in Example 9.7 does when presented with the inputs aba and aaabbbb. Is there any input for which the Turing machine in Example 9.7 goes into an infinite loop?

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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