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Q66E

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Discrete Mathematics and its Applications
Found in: Page 204
Discrete Mathematics and its Applications

Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

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Short Answer

Show that the problem of deciding whether a specific program with a specific input halts is solvable.

We can decide whether a program with a specific input halts is solvable by running the two programs and the one which halts is solvable.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1:

A = A program

I = Input of the program

Step 2:

We now write a program A' such that A(I) halts if and only if A' does not halt.

Now we will run both the programs.

Any one of the two, A(I) or A'(I) will halt.

Thus the given program with a specific input halts is solvable.

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