Question

Are these system specifications consistent? “The router can send packets to the edge system only if it supports the new address space. For the router to support the new address space it is necessary that the latest software release be installed. The router can send packets to the edge system if the latest software release is installed, The router does not support the new address space.”

Short answer

From the given statements, the systems are 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 considered as,

p: The router can send packets to the edge system

q: The router supports the new address system

r: Latest software release is installed

Solution Explanation

The system specifications are translated as given below,

1) p→q

2) r→q

3) r→p

4) ~q

All assertions are true when the values of p, q, and r are set to false. When both p and q are incorrect, the first proposition is correct. As a result, the second and third statements are also correct. When q is false, the fourth statement is true.

As a result, these requirements are consistent.