While science fiction has a long history of human-AI/robot interaction, especially in terms of dialogue, the idea of robots/AIs talking to each other gained a lot more currency in the wake of two Facebook AIs seemingly developing their own language. First, a more reasoned summary of what happend at Facebook from the BBC. And now something a bit more sensational. This Quora post also has a bit more on what happened at Facebook.
All of this concern about AIs talking to each other has a history, at least in science fiction. One moment to consider occurred in 1970’s The Forbin Project in which the USA build a supercomputer to oversee its strategic defense systems (missiles, bombers, you name it), only to discover that the USSR (now Russia) had a similar computer. It’s not too long before the two computers demand to talk directly to each other, then merge to form “World Control.”
One good place to start a larger history of robots and AIs talking to each other is Emily Asher-Perrin’s survey on Tor. (Tor is a long-time publisher of science fiction and fantasy literature; their website contains a mix of original fiction, thoughtful essays, and read or watch-alongs of classic or beloved works in the genres.)
(Perhaps one thing to think about is the difference between robots as corporealized entities and artificial intelligences as noncorporeal entities: our responses to intra-entity dialogue seems to differ significantly based on whether the consciousness is individuated in a way that our own seems to be.)