In information technology and computer science, a system is described as stateful if it is designed to remember preceding events or user interactions;[1] the remembered information is called the state of the system.
The set of states a system can occupy is known as its state space. In a discrete system, the state space is countable and often finite. The system's internal behaviour or interaction with its environment consists of separately occurring individual actions or events, such as accepting input or producing output, that may or may not cause the system to change its state. Examples of such systems are digital logic circuits and components, automata and formal language, computer programs, and computers.
The output of a digital circuit or deterministic computer program at any time is completely determined by its current inputs and its state.[2]