Transistor working with unusual biasing
That appears to be just an extension of the saturation region if CB and BE are both forward biased:
http://en.wikipedia.org/wiki/Bipolar_junction_transistor#Regions_of_operation

It looks like your definition of saturation region is overly narrow.

If BE is reverse biased and BC is forward biased, then it still acts like a transistor, but because of the physical way bjt's are setup, you have much less gain than forward active.