In the big picture, it's a shorter barreled version of the existing rifle. The Krag is a good example, and M1A's with less than a 20" barrel seem to be too.
In the AR specifically, 20" and longer is rifle, less is all carbine as a type, not the gas action, which is specific to itself. There are even 16" barreled carbines with rifle gas. Doesn't make it a rifle, it's the shorter barrel length compared to whatever was intended as the full size rifle version.
The M1 Carbine is definitely a short version of the Garand, looks similar, etc. Of course the parts aren't the same, and it's not the same caliber.
It's a concept that exists as a relationship, not because of arbitrary rules.