Image for Rabin-Scott theorem

Rabin-Scott theorem

The Rabin-Scott theorem is a key concept in automata theory, which studies abstract machines and their computations. It states that any finite automaton, which is a simple computational model used to recognize patterns and languages, can be represented as a more basic type called a deterministic finite automaton (DFA) or a non-deterministic finite automaton (NFA). This means that although NFAs can be more flexible and easier to design, they can always be converted to DFAs that perform the same function, ensuring a consistent way to understand and utilize these computational systems.