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Abstract: Mutual exclusion is not solvable in an asynchronous message-passing system where processes are subject to crash failures. Delporte-Gallet et. al. determined the weakest failure detector to solve this problem when a majority of processes are correct. Here we identify the weakest failure detector to solve mutual exclusion in any environment, i.e., regardless of the number of faulty processes.

We also show a relation between mutual exclusion and consensus, arguably the two most fundamental problems in distributed computing. Specifically, we show that a failure detector that solves mutual exclusion is sufficient to solve non-uniform consensus but not necessarily uniform consensus.

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   Vibhor Bhatt, Nicholas Christman, and Prasad Jayanti, "The Weakest Failure Detector to Solve Mutual Exclusion." Dartmouth Computer Science Technical Report TR2008-618, April 2008.

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