This study focuses on older adults with Mild Cognitive Impairment (MCI) and Alzheimer's Disease (AD) and how these conditions affect their walking ability. **Mild Cognitive Impairment (MCI)** is a state where a person has slight but noticeable memory or thinking problems, while **Alzheimer's Disease (AD)** is a more severe condition affecting memory and thinking. The researchers want to see how these problems affect walking and if exercise can help. They will use a treadmill with two belts moving at different speeds (called a **split-belt task**) to test how well participants can adapt their walking. This can help find out if issues with walking might predict more serious problems later on.
- The study involves 1-2 visits and includes walking tests.
- Participants will be observed over time, with some returning after 6 months.
- A small group will try treadmill exercises to see if it helps their walking.
Eligibility is limited to those without severe medical issues affecting walking and excludes those with recent hospitalizations or certain medications affecting thinking.