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.
|Title of host publication||Unconventional Computation and Natural Computation - 14th International Conference, UCNC 2015, Proceedings|
|Editors||Cristian S. Calude, Michael J. Dinneen|
|Number of pages||12|
|Publication status||Published - 2015|
|Event||14th International Conference on Unconventional Computation and Natural Computation, UCNC 2015 - Auckland, New Zealand|
Duration: 2015 Aug 30 → 2015 Sep 3
|Name||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|Other||14th International Conference on Unconventional Computation and Natural Computation, UCNC 2015|
|Period||15/8/30 → 15/9/3|
Bibliographical noteFunding 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.
© Springer International Publishing Switzerland 2015
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computer Science(all)