In addition to Text::Levenshtein (whose docs look short, but sufficient to me) Jarkko has a great module that does the same thing, but with a lot more fine control: String::Approx.
It provides an LRU cache for what he calls the "matching engines" of a pattern (so that testing the distance between $string1 and $string3 doesn't incur a bunch of overhead you allready spent on calculating hte distance between $string1 and $string2), it provides lots of usefull methods that utilize the Levenshtein Distance to do splicing, slicing, or finding the location of substring ... and he provides modifiers that let you say things like "allow only inserts or substitutions of characters, but no deleters" or tell me if these strings are 90% similar"
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