Skip to Main content Skip to Navigation
Journal articles

Derivatives of approximate regular expressions

Abstract : Our aim is to construct a finite automaton recognizing the set of words that are at a bounded distance from some word of a given regular language. We define new regular operators, the similarity operators, based on a generalization of the notion of distance and we introduce the family of regular expressions extended to similarity operators, that we call AREs (Approximate Regular Expressions). We set formulae to compute the Brzozowski derivatives and the Antimirov derivatives of an ARE, which allows us to give a solution to the ARE membership problem and to provide the construction of two recognizers for the language denoted by an ARE. As far as we know, the family of approximative regular expressions is introduced for the first time in this paper. Classical approximate regular expression matching algorithms are approximate matching algorithms on regular expressions. Our approach is rather to process an exact matching on approximate regular expressions.
Document type :
Journal articles
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/hal-00980761
Contributor : Service Ist Inria Sophia Antipolis-Méditerranée / I3s <>
Submitted on : Friday, April 18, 2014 - 4:43:39 PM
Last modification on : Thursday, February 7, 2019 - 5:44:27 PM
Long-term archiving on: : Monday, April 10, 2017 - 3:50:18 PM

File

2194-8170-1-PB.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00980761, version 1

Citation

Jean-Marc Champarnaud, Hadrien Jeanne, Ludovic Mignot. Derivatives of approximate regular expressions. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2013, Vol. 15 no. 2 (2), pp.95--120. ⟨hal-00980761⟩

Share

Metrics

Record views

818

Files downloads

875