I simply don't put up with neighbors like that, or their dogs. I don't file complaints with the local police, and I don't give them a second chance once warned. I don't know about MN, but NY Ag & Market Laws give property and pet owners specific rights in protecting our property, pets. Those laws also specifically hold us "harmless" against law suits from people like your neighbor. One good thing about living in rural areas is that most of our Justices are farmers themselves.
If my neighbors dog killed one of my layers and then made the statement, "...[you] need to accept it", they would find themselves paying me three times the value of the chicken; a resonable amount for future eggs, in addition to civil and criminal fines.
If my neighbors dog killed one of my layers and then made the statement, "...[you] need to accept it", they would find themselves paying me three times the value of the chicken; a resonable amount for future eggs, in addition to civil and criminal fines.