I'll stop for anything up to 80kt, between 80kt and V1 I'll only stop for a fire, a config warning or an engine failure. After V1 I'll continue the take-off'"
I guess this is SOP for large airline ops. In bizjets, we usually don't have the same problem with stopping so we often brief that we'll stop for anything prior to V1. Also in bizjets, generally either pilot can call for the abort and not take the time to announce the malfunction, since most bizjets accelerate much more rapidly than an airliner. Realize of course that in my compnay ops, we're talking about an airplane that only weighs 46,500 pounds, has a V1 speed of 115-117 and a takeoff distance of less than 6,000 feet.