One of my neighbors, who not only raises all kind of poultry and gamebirds, but also breeds Dual Champion Wirehaired Pointing Griffons and Australian Shepherds (so she's obviously no dog-hater), had a problem a few years back with TWO of our neighbors' dogs digging under her formidable fence and killing her birds.
In one case, when it was two Chows, she called the owner and informed her of what was happening. The owner said, "Well, if they do it again, call animal control or shoot them." I mean, she cared NOTHING about her dogs! So my friend caught them (they were friendly) and took them to the pound.
In the second case, with a pair of Rottweilers, the owners appeared to care for their dogs, but REFUSED to keep them confined--which was confounding, since they had a totally fenced yard, and just wouldn't keep the drive gate shut! My friend called them after the first offense, and they were acted like it wasn't their dogs. After the second offense, she called them again, and said, "I am going to have to protect my livestock. I'm sorry, but if your dogs come over here to kill my birds again, I am going to shoot them." Nothing changed. Sure enough, my friend did wind up having to shoot the female (who was pregnant at the time) Rott. The killshot left the dog holding a dead bantam in her jaws. She put the body in a trash bag, and then into a trash can, and took it out and set it at the street. She called the owners, and left a message on their answering machine to come and pick up the body. They did, but she never heard a peep out of them. She never saw the male Rottie back on her property again.