The names 'edit distance' and 'levenshtein distance' are a bit unfortunate.
When I was trying to match batches of OCR'd strings to known strings, I knew some algorithm like this had to exist, but I could not find it. My searches kept turning up Jaccard similarity and Hamming distance again and again.
(Once I found it and began working on an implementation, I started noticing my compiler would find miss-typed variable names and suggest the correctly-spelled variable for me.)