extend LevenshteinAutomata to support transpositions as primitive edits
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                 Key: LUCENE-3662
                 URL: https://issues.apache.org/jira/browse/LUCENE-3662
             Project: Lucene - Java
          Issue Type: New Feature
    Affects Versions: 4.0
            Reporter: Robert Muir


This would be a nice improvement for spell correction: currently a 
transposition counts as 2 edits,
which means users of DirectSpellChecker must use larger values of n (e.g. 2 
instead of 1) and 
larger priority queue sizes, plus some sort of re-ranking with another distance 
measure for good results.

Instead if we can integrate "chapter 7" of 
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.652 
then you can just build an alternative DFA where a transposition is only a 
single edit 
(http://en.wikipedia.org/wiki/Damerau%E2%80%93Levenshtein_distance)

According to the benchmarks in the original paper, the performance for LevT 
looks to be very similar to Lev.

Support for this is now in moman (https://bitbucket.org/jpbarrette/moman/) 
thanks to Jean-Philippe 
Barrette-LaPierre.


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