Title
An efficient algorithm for computing the edit distance of a regular language via input-altering transducers.
Abstract
We revisit the problem of computing the edit distance of a regular language given via an NFA. This problem relates to the inherent maximal error-detecting capability of the language in question. We present an efficient algorithm for solving this problem which executes in time $O(r^2n^2d)$, where $r$ is the cardinality of the alphabet involved, $n$ is the number of transitions in the given NFA, and $d$ is the computed edit distance. We have implemented the algorithm and present here performance tests. The correctness of the algorithm is based on the result (also presented here) that the particular error-detection property related to our problem can be defined via an input-altering transducer.
Year
Venue
Field
2014
CoRR
Transducer,Edit distance,Discrete mathematics,Correctness,Wagner–Fischer algorithm,Cardinality,Algorithm,Theoretical computer science,Regular language,Mathematics,Alphabet
DocType
Volume
Citations 
Journal
abs/1406.1041
4
PageRank 
References 
Authors
0.44
6
4
Name
Order
Citations
PageRank
Lila Kari11123124.45
Stavros Konstantinidis228331.10
Steffen Kopecki340.78
Meng Yang4102855.17