Low Disruption Transformations on Cyclic Automata

  • Authors:
  • Gema M. Martín;Francisco J. Vico;Jüegen Dassow;Bianca Truthe

  • Affiliations:
  • (Correspd.) Departamento de Lenguajes y Ciencias de la Computación, Universidad de Málaga, Severo Ochoa, 4, Parque Tecnológico de Andalucía, E-29590 Campanillas - Málaga, ...;Departamento de Lenguajes y Ciencias de la Computación, Universidad de Málaga, Severo Ochoa, 4, Parque Tecnológico de Andalucía, E-29590 Campanillas - Málaga, Spain. gema, ...;Otto-von-Guericke-Universität Magdeburg, Fakultät für Informatik, PSF 4120, D-39016 Magdeburg, Germany. dassow,truthe@iws.cs.uni-magdeburg.de;Otto-von-Guericke-Universität Magdeburg, Fakultät für Informatik, PSF 4120, D-39016 Magdeburg, Germany. dassow,truthe@iws.cs.uni-magdeburg.de

  • Venue:
  • Fundamenta Informaticae - Non-Classical Models of Automata and Applications
  • Year:
  • 2010

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Abstract

We extend the edit operators of substitution, deletion, and insertion of a symbol over a word by introducing two new operators (partial copy and partial elimination) inspired by biological gene duplication. We define a disruption measure for an operator over a word and prove that whereas the traditional edit operators are disruptive, partial copy and partial elimination are non-disruptive. Moreover, we show that the application of only edit operators does not generate (with low disruption) all the words over a binary alphabet, but this can indeed be done by combining partial copy and partial elimination with the substitution operator.