Participants in this open label study will be randomly assigned to receive either galantamine or donepezil for 12 weeks. Participants assigned to receive galantamine will receive 4 mg twice a day for 4 weeks, 8 mg twice a day for the next 4 weeks, and 12 mg twice a day for the remainder of the study. Participants assigned to receive donepezil will receive 5 mg twice a day for 6 weeks, and then 10 mg twice a day for the next 6 weeks. Functional independence will be measured at baseline and Weeks 2 and 12. In addition, a pre-stroke level of functional independence will be obtained through a structured interview with participants and their families. Participants will also be monitored for signs of depression and medication side effects throughout the study.