A **suffix automaton** is a type of automaton used to accept the set of suffixes of a given string. It's a powerful data structure in computer science, particularly in the fields of string processing and pattern matching. Here's a detailed explanation of the concept: ### Definition: A *suffix automaton* for a string `S` is a deterministic finite automaton (DFA) that has states corresponding to the distinct substrings of `S`.
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A suffix automaton is a finite automaton recognizing all suffixes of a fixed string. With every reachable state accepting, it recognizes all substrings; its number of states and transitions is linear in the original string length for a fixed finite alphabet.