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Technically it isn't, since AIM is "AOL Instant Messenger", where AOL happens to also be an acronym, but it isn't America On-Line Instant Messenger, since then it'd be AOLIM.

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I wonder if there's a word for these kinds of nested or multi-layer acronyms. Acronyms in acronyms.

It's like a recursive acronym with a base case, so it terminates.

https://en.wikipedia.org/wiki/Recursive_acronym

Somebody needs to make a recursive acronym in the shape of the Ackermann function.

It's not recursive, though -- that would only be true if AOL stood for AIM On-Line.

Maybe "nested acronym" is a better term?

> Multi-layered acronyms: AIM: "AOL Instant Messenger," in which "AOL" originally stood for "America Online"

https://en.wikipedia.org/wiki/Acronym

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