I've had a similar experience where the dog actually broke skin. So not knowing that dog's vaccination status I took my pet to the Vet. They called the Department of Health and an investigator was at my door within minutes of returning from the vet. He was dressed like a cop but worked for the health department. He took a report and spent a week looking for the other dog before finding them and issuing citations and a ticket.

All in all better and quicker than DC cops