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???interface message processor??? or ???IMP,??? ??? a protocol used to communicate with other computers.

IMPs were not a "protocol". The protocol in question was the Internetworking Protocol or IPv1, the precursor to our current IPv4. IMPs were the devices that relayed IPv1 packets between nodes. They were the precursors to today's routers.So you'd have been better off saying:
"Interface message processor" or "IMP," - a precursor to today's routers used for passing internet messages.