String matching algorithms | Finite automata

Levenshtein automaton

In computer science, a Levenshtein automaton for a string w and a number n is a finite-state automaton that can recognize the set of all strings whose Levenshtein distance from w is at most n. That is, a string x is in the formal language recognized by the Levenshtein automaton if and only if x can be transformed into w by at most n single-character insertions, deletions, and substitutions. (Wikipedia).

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Related pages

Damerau–Levenshtein distance | Regular language | Dynamic programming | Backtracking | Formal language | Levenshtein distance | Cartesian product | String (computer science) | Trie