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Initially, the HOA is not responsible, however, your documents should include some type of regulation about dog nuisance…barking, being aggressive, etc. First what you should do is make a report with your local animal control dept, if the bite is serious enough, go to a medical facility, take photos. Second, notify your HOA that you were bitten by the dog and furnish the reports to them and ask them to act on this matter to what your documents allow. If they refuse, or ignore, and the dog bites someone again, they are responsible for being negligent in acting against the first incident.
Our HOA has a clause that the Board may remove the dog(s), for violating any part of the documents, which they did on one occasion when an owner had two dogs loose and they attacked a resident causing some bites to her arms and torso. Once the animal control did there investigation, the Board sent notice to the owner to remove the dogs permanently from the community. People asked if it was legal to do, and yes, since its within the documents, it is legal.