Definition: A sub-automaton is a mathematical construct used in automata theory and computer science to model the behavior of an automaton as it performs operations on strings. It's similar to a Turing machine, but with fewer rules and more flexibility. In sub-automata, each input string can only be processed by one or more inputs that are "sub-typed" into the same set of states, where every state is defined by its possible sub-states (i.e., all possible states in which
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