Question

Are these system specifications consistent? “The system is in multiuser state if and only if it is operating normally. If the system is operating normally, the kernel is functioning. The kernel is not functioning or the system is in interrupt mode. If the system is not in multiuser state, then it is in interrupt mode. The system is not in interrupt mode.”

Short answer

From the given statements,the system is not consistent.

Step-by-step solution

Introduction to the Concept

When two propositions can both be true at the same time, they are said to be consistent. Do a joint truth test to ensure consistency.

Given statements

The given statements are,

Statement 1: The system is in multiuser state if and only if it is operating normally.

Statement 2: If the system is operating normally, the kernel is functioning.

Statement 3: The kernel is not functioning or the system is in interrupt mode.

Statement 4: If the system is not in multiuser state, then it is in interrupt mode.

Statement 5: The system is not in interrupt mode.

Solution Explanation

The System specs are not consistentwith the requirements. The last two assertionsimply that thesystem is in good functioning order.

When you look at the second statement, it indicates that the Kernel is working, which is in direct opposition to Statement 3.

Since the fifth statement stated that the system is not in interrupt mode, we can conclude that the system is not in interrupt mode.

As a result, the stated Statements, as well as other Statements, contradict each other. As a result, the system is not consistent.