A quick search of KY law.
Under Section 258.235, any person may kill or seize any dog which he sees in the act of pursuing or wounding any livestock, or wounding or killing poultry, or attacking human beings, whether or not such dog bears the license tag required by the provisions of this chapter. There shall be no liability on such person in damages or otherwise for killing, injuring from an attempt to kill, or for seizing the dog. That same section also comprises the state's new strict liability law for dog bites. Under Sec. 235(4), any owner whose dog is found to have caused damage to a person, livestock, or other property shall be responsible for that damage.
KRS 258.215 This Kentucky statute provides that peace officers, dog wardens, or animal control officers shall seize and impound any dog which does not bear a proper license tag or other legible identification which is found running at large. Interestingly, if an officer after diligent effort to do so, should fail to seize the dog, it is his or her duty to destroy the dog by any reasonable and humane means. The statute specifically exempts actively engaged hunting dogs from the "loose dog" prohibition.