Let S = {w in {0,1}* | the length of w is a perfect square}.(A number x is said to be a perfect square if it can be written as x = y 2 , for some nonnegative integer y.) Design a Turing Machine to show that the language S is decidable. The only operations allowed to use are the addition (+) and multiplication (x) of integers, but you are not allowed to use square-root operations. Do not provide a DFA, NFA or PDA, only a Turing Machine (either diagram or described)

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
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Let S = {w in {0,1}* | the length of w is a perfect square}.(A number x is said to be a perfect square if it can be written as x = y 2 , for some nonnegative integer y.)

Design a Turing Machine to show that the language S is decidable. The only operations allowed to use are the addition (+) and multiplication (x) of integers, but you are not allowed to use square-root operations.

Do not provide a DFA, NFA or PDA, only a Turing Machine (either diagram or described)

 

 
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