probabilistic automaton

A probabilistic automaton is a type of automaton that incorporates the concept of chance into its operations. Traditionally, automata were seen as deterministic machines, where the output was a direct, logical consequence of the input. However, after the mid-20th century, mathematicians began exploring automata that included probabilistic components.12

These probabilistic automata can be programmed to process and predict random data, allowing them to operate in environments that involve both deterministic and random processes. This capability has practical applications in areas like weather prediction and guiding complex systems. Research has also investigated whether adding a random element to a machine allows it to compute a wider range of sets than a deterministic machine, though this depends on the computability of the random element itself.12