Utterly swell sign: Dog on Premise
Not premises, premise.
Note, from American Heritage Dictionary (on-line):
1. premise, also, prem·iss. Logic. a proposition supporting or helping to support a conclusion.
a. a tract of land including its buildings.
b. a building together with its grounds or other appurtenances.
c. the property forming the subject of a conveyance or bequest.
That’s why you don’t argue with a guard dog, man, cos they are right on top of those things.