Loop(M,x) is the problem of trying to decide if algorithm M goes into an infinite loop when given x as its input. Loop(M,x) wants to output true (or "accept" if you want to be more formal) if M goes into an infinite loop when given x as input, and output false (or "reject") if M(x) does not infinite loop. Given that there is no Accept(M,x) algorithm that works for all M and x, show by giving a pseudocode reduction that there is no Loop(M,x) algorithm that works for all M and x. Hint: It will be similar to the Halt reduction.

Loop(M,x) is the problem of trying to decide if algorithm M goes into an infinite loop when given x as its input. Loop(M,x) wants to output true (or "accept" if you want to be more formal) if M goes into an infinite loop when given x as input, and output false (or "reject") if M(x) does not infinite loop. Given that there is no Accept(M,x) algorithm that works for all M and x, show by giving a pseudocode reduction that there is no Loop(M,x) algorithm that works for all M and x. Hint: It will be similar to the Halt reduction.

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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