This paper proposes a membership protocol for fault-tolerant distributed systems and describes the usage of formal verification methods to ascertain its correctness. The protocol allows nodes in a synchronous system to maintain consensus on the set of operational nodes, i.e., the membership, in the presence of omission failures and node restarts. It relies on nodes observing the transmissions of other nodes to detect failures. Consensus is maintained by exchanging a configurable number of acknowledgements for each node\u27s message. Increasing this number makes the protocol resilient to a greater number of simultaneous or near-coincident failures. We used the SPIN model checker to formally verify the correctness of the membership protocol. ...