Abstract
This paper considers the fault-tolerant mutual exclusion problem in a message-passing asynchronous system and determines the weakest failure detector to solve the problem, given a majority of correct processes. This failure detector, which we call the trusting failure detector, and which we denote by T , is strictly weaker than the perfect failure detector P but strictly stronger than the eventually perfect failure detector ⋄ P . The paper shows that a majority of correct processes is necessary to solve the problem with T . Moreover, T is also the weakest failure detector to solve the fault-tolerant group mutual exclusion problem, given a majority of correct processes.
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