Okay. This is a stupid post. It really is.
I'm not sure how "processing" came to mean some kind of relationship analysis.
Naming a process "processing" is like naming a variable "variable". (Yes, I'm a programmer. :p) It's fine until you have two processes. It's fine if you just want to verb yourself up a noun, but it doesn't communicate much of anything. It says, "Hey, context, I'm going place, do my job!"
My best guess at what it should be called is interspection. Looking at betweenses, a complement of introspection.