A semi-presidential system is a form of government that combines elements of both presidential and parliamentary systems. In this structure, there is typically a president who is elected by the public and holds significant powers, alongside a prime minister who is appointed by the president and is responsible for running the government. This dual executive system allows for a balance of power, where both leaders can influence policy and governance. Countries with semi-presidential systems often have a parliament that plays a crucial role in legislation and oversight. The relationship between the president and prime minister can vary, leading to different dynamics in governance. Examples of countries with this system include France and Russia.