Minn. Stat. § 347.01: OWNER'S LIABILITY; PENALTY.

(a) Owners or keepers of any dog or dogs, that kill, wound, or worry any domestic animal or animals, shall be jointly and severally liable to the owner of such animal or animals for all damages done by such dog or dogs, without proving notice to or knowledge by any such owner or keeper of such dog or dogs, that any or either of them was mischievous or disposed to kill or worry any domestic animal.

(b) The owner of any dog that kills or pursues domestic livestock is guilty of a petty misdemeanor.