It is widely recognized that distributed systems would greatly benefit from the availability of a generic failure detection service. There are however several issues that must be addressed before such a service can actually be implemented.

Traditionally, failure detectors or failure detection services provide a list of processes that are currently suspected by them. Mechanisms for propagating such information are implemented mostly for such traditional failure detectors. Recently, a family of failure detectors that provide the degree of confidence that a given process has actually crashed, called suspicion level. It is called the failure detector which is an implementation of the notion of accrual failure detectors.

In this paper, we highlight the issue on the propagation mechanism of information on crashed/suspected processes with the failure detector. Since the suspicion level is represented as a continuous value, existing mechanisms are not appropriate for this type of failure detectors. Therefore, we propose a notification system that can efficiently propagate suspicion levels. It can provide such information to proper receivers and processes in distributed applications do not need to implement a function for failure detection by using the proposed system and the failure detector.