Duplications and pseudo-duplications

Da Jung Cho, Yo Sub Han, Hwee Kim, Alexandros Palioudakis, Kai Salomaa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)


A duplication is basic phenomenon that occurs through molecular evolution on a biological sequence. A duplication on a string copies any substring of the string. We define k-pseudo-duplication of a string w that consists, roughly speaking, of all strings obtained from w by inserting after a substring u another substring obtained from u by at most k edit operations. We consider three variants of duplication operations, duplication, k-pseudo-duplication and reverse-duplication. First, we give the necessary and sufficient number of states that a nondeterministic finite automaton needs to recognize duplications on a string. Then, we show that regular languages and context-free languages are not closed under the duplication, k-pseudo-duplication and reverse-duplication operations. Furthermore, we show that the class of context-sensitive languages is closed under duplication, pseudo-duplication and reverse-duplication.

Original languageEnglish
Title of host publicationUnconventional Computation and Natural Computation - 14th International Conference, UCNC 2015, Proceedings
EditorsCristian S. Calude, Michael J. Dinneen
PublisherSpringer Verlag
Number of pages12
ISBN (Print)9783319218182
Publication statusPublished - 2015
Event14th International Conference on Unconventional Computation and Natural Computation, UCNC 2015 - Auckland, New Zealand
Duration: 2015 Aug 302015 Sept 3

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other14th International Conference on Unconventional Computation and Natural Computation, UCNC 2015
Country/TerritoryNew Zealand

Bibliographical note

Funding Information:
This research was supported by the Basic Science Research Program through NRF funded by MEST (2012R1A1A2044562), the International Cooperation Program managed by NRF of Korea (2014K2A1A2048512), the Yonsei University Future-leading Research Initiative of 2014 and the Natural Sciences and Engineering Research Council of Canada Grant OGP0147224.

Publisher Copyright:
© Springer International Publishing Switzerland 2015

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)


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