Process Types and names
"Business process" can also be applied.  Or you could call it "automated process" or "automated business process" or "software processing" or "service" or any of a number of other things.

In other words: these terms do not have a precise mathematical/technical definition.  So, define your terms, and use them consistently.  This is not a technical question (and this site is better-suited for technical questions, not terminology questions).