State space

A state space is the set of all possible configurations of a system.[1] It is a useful abstraction for reasoning about the behavior of a given system and is widely used in the fields of artificial intelligence and game theory.

Vacuum World, a shortest path problem with a finite state space

For instance, the toy problem Vacuum World has a discrete finite state space in which there are a limited set of configurations that the vacuum and dirt can be in. A "counter" system, where states are the natural numbers starting at 1 and are incremented over time[2] has an infinite discrete state space. The angular position of an undamped pendulum[3] is a continuous (and therefore infinite) state space.

Share this article:

This article uses material from the Wikipedia article State space, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.