transition relation

A transition relation describes how a system moves from one state to another. Think of it like a set of rules that govern how changes happen. For example, in a game, the transition relation outlines what actions lead to different outcomes or positions. It's essential in various fields, such as computer science, physics, and economics, as it helps us understand and predict how systems evolve over time based on certain inputs or conditions. Essentially, it captures the relationship between different situations or configurations within a system.