Where I work we have summer camps, including a dog camp. There is a first-strike policy and a dog showing aggression to another dog or human is immediately sent home. (But in this situation we are dealing with other people's children!)

One co-worker brings her dog on occasion. She is in a less frequented office, certainly not an office where the public visits. Her dog bite another co-worker and so the dog has very limited privileges like she cannot be left alone uncrated, stays on a leash in the office, etc...

I can't imagine the higher-ups not responding to a dog growling at a person after having already "attacked" another dog (was the pittie really the aggressor or was the pittie responding to an aggressive dog?). How does that other dog owner feel? Policies need to be in place to fairly handle these situations.