Sewer Backup vs Overflow: Two Terms, Two Different Problems

Sewer backup vs overflow is a distinction that sounds like hair-splitting until it decides who responds. People use the words as if they mean the same thing, and the news about a river overflow can be mistaken for the sewage in a basement. They are related, but they are not the same event.
This post sorts out the terms. The Pittsburgh specifics, including what the river version means locally, are on the page about Pittsburgh sewage overflows.