We determine what information about failures is necessary and sufficient to solve Consensus in asynchronous distributed systems subject to crash failures. In Chandra and Toueg [1996], it is shown that { , a failure detector that provides surprisingly little information about which processes have crashed, is sufficient to solve Consensus in asynchronous systems with a majority of correct processes. In this paper, we prove that to solve Consensus, any failure detector has to provide at least as much information as { . Thus, { is indeed the weakest failure detector for solving Consensus in asynchronous systems with a majority of correct processes. Categories and Subject Descriptors: C.2.4 [Computer-Communication Networks]: Distributed Systems--distributed applications; distributed databases; network operating systems; C.4 [Performance of