Given the uncertain clinical utility of Hp testing in ASA users, this prospective cohort study aims to determine whether testing for Hp will have any impact on the long-term incidence of ulcer bleeding in ASA users with high ulcer risk. The investigators hypothesize that among ASA users with Hp infection and ulcer bleeding, the long-term incidence of recurrent ulcer bleeding with ASA use will be low after eradication of Hp alone.