I'm so sorry for your loss. It just break's my heart when one of mine fall's victim to a predator. I would talk to my neighbor's when I was calm enough to do so and give them a chance to fix the problem. I would definately check the law's in your area. I live in a county that has no animal control or law's on animal's. Shooting the neighbor's dog may be your only choice if the neighbor's don't cooperate. I'm totally against killing anything but if something is killing my bird's it has to go. I have 17 dog's [all were throw away's] and as a dog owner I'm a firm beliver that you have to keep your dog's up and not allow them to bother your neighbor's. I keep mine in fenced in area's and I stay up until 4am on the day's my one neighbor that can hear my dog's bark get's up to go to work. Most night's my dog's are quite but if a deer or other creature's come close to my dog pen's they are going to bark. That's why I stay up to quite my dog's. This is probably why my neighbor has never complained about my 17 dog's. My old man has had to shoot several dog's through the year's because the owner's wouldn't take responsibility. I wasn't happy with this but I'm less happy to find one of my bird's dead or just find feather's. Everyone here has given good advise, you will just have to figure out the best solution for you situation. I'm so hoping the neighbor's will do the right thing and pen there dog's up. It's alway's hard for me being a bird & dog lover but I can't deal with my bird's being killed. I've got my finger's crossed that everything will come out alright. If the neighbor's don't fix the problem, than they would be considered in my book as bad neighbor's so I wouldn't worry about keeping the peace. Do what you have to do. Good luck with your problem. PEACE