Thompson's construction

Thompson's Construction is a method used in automata theory to convert a nondeterministic finite automaton (NFA) into a deterministic finite automaton (DFA). An NFA can have multiple possible states for a given input, while a DFA has a single state for each input. Thompson's Construction systematically creates new states in the DFA that represent combinations of NFA states. This process ensures that every possible transition is accounted for, resulting in a DFA that recognizes the same language as the original NFA, thus making it easier to implement in computer programs and algorithms.