2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107953The Levenshtein distance is an important tool for the comparison of symbolic sequences, with many appearances in genome research, linguistics and other areas. For efficient applications, an approximation by a distance of smaller computational complexity is highly desirable. However, our comparison of the Levenshtein with a generic dictionary-based distance indicates their statistical independence. This suggests that a simplification along this line might not be possible without restricting the class of sequences. Several other probabilistic properties are briefly discussed, emphasizing various questions that deserve further investigation.7 pages, 4 figures; revised versionQuantitative MethodsSurprises in approximating Levenshtein distancestext