I know about cumulative and selective acknowledgements TCP protocol offers.
Do you know any other protocols (apart from TCP), that support cumulative acknowledgements?
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Trivial File Transfer Protocol (TFTP) running over UDP/69 also includes a built-in Acknowledgement system which is cumulative over the course of a file transfer.
IPsec includes a Sequence Number in the ESP/AH header. That can also be considered a cumulative acknowledgement. Although not in the strict sense that TCP or TFTP use it.
One such protocol is OSPF, which uses a Database Description Sequence Number to keep track of database updates.
I'm sure there are others.