The properties of probabilistic simple regular sticker system
A mathematical model for DNA computing using the recombination behavior of DNA molecules, known as a sticker system, has been introduced in 1998. In sticker system, the sticker operation is based on the Watson-Crick complementary feature of DNA molecules. The computation of sticker system starts fro...
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American Institute of Physics
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iium-473572017-09-23T07:34:54Z http://irep.iium.edu.my/47357/ The properties of probabilistic simple regular sticker system Selvarajoo, Mathuri Wan, Heng Fong Sarmin, Nor Haniza Turaev, Sherzod QA75 Electronic computers. Computer science A mathematical model for DNA computing using the recombination behavior of DNA molecules, known as a sticker system, has been introduced in 1998. In sticker system, the sticker operation is based on the Watson-Crick complementary feature of DNA molecules. The computation of sticker system starts from an incomplete double-stranded sequence. Then by iterative sticking operations, a complete double-stranded sequence is obtained. It is known that sticker systems with finite sets of axioms and sticker rule (including the simple regular sticker system) generate only regular languages. Hence, different types of restrictions have been considered to increase the computational power of the languages generated by the sticker systems. In this paper, we study the properties of probabilistic simple regular sticker systems. In this variant of sticker system, probabilities are associated with the axioms, and the probability of a generated string is computed by multiplying the probabilities of all occurrences of the initial strings. The language are selected according to some probabilistic requirements. We prove that the probabilistic enhancement increases the computational power of simple regular sticker systems. American Institute of Physics 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/47357/1/SKSM22_24-26_Nov_2014_AIP_Conf_Proc_1682_%282015%29_-_Mathuri_002047_1-9.pdf application/pdf en http://irep.iium.edu.my/47357/4/47357_The%20properties%20of%20probabilistic%20simple%20regular_Scopus.pdf Selvarajoo, Mathuri and Wan, Heng Fong and Sarmin, Nor Haniza and Turaev, Sherzod (2015) The properties of probabilistic simple regular sticker system. AIP Conference Proceedings, 1682. 020047-1. ISSN 0094-243X E-ISSN 1551-7616 http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4932456 10.1063/1.4932456 |
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QA75 Electronic computers. Computer science Selvarajoo, Mathuri Wan, Heng Fong Sarmin, Nor Haniza Turaev, Sherzod The properties of probabilistic simple regular sticker system |
description |
A mathematical model for DNA computing using the recombination behavior of DNA molecules, known as a sticker system, has been introduced in 1998. In sticker system, the sticker operation is based on the Watson-Crick complementary feature of DNA molecules. The computation of sticker system starts from an incomplete double-stranded sequence. Then by iterative sticking operations, a complete double-stranded sequence is obtained. It is known that sticker systems with finite sets of axioms and sticker rule (including the simple regular sticker system) generate only regular languages. Hence, different types of restrictions have been considered to increase the computational power of the languages generated by the sticker systems. In this paper, we study the properties of probabilistic simple regular sticker systems. In this variant of sticker system, probabilities are associated with the axioms, and the probability of a generated string is computed by multiplying the probabilities of all occurrences of the initial strings. The language are selected according to some probabilistic requirements. We prove that the probabilistic enhancement increases the computational power of simple regular sticker systems. |
format |
Article |
author |
Selvarajoo, Mathuri Wan, Heng Fong Sarmin, Nor Haniza Turaev, Sherzod |
author_facet |
Selvarajoo, Mathuri Wan, Heng Fong Sarmin, Nor Haniza Turaev, Sherzod |
author_sort |
Selvarajoo, Mathuri |
title |
The properties of probabilistic simple regular sticker system |
title_short |
The properties of probabilistic simple regular sticker system |
title_full |
The properties of probabilistic simple regular sticker system |
title_fullStr |
The properties of probabilistic simple regular sticker system |
title_full_unstemmed |
The properties of probabilistic simple regular sticker system |
title_sort |
properties of probabilistic simple regular sticker system |
publisher |
American Institute of Physics |
publishDate |
2015 |
url |
http://irep.iium.edu.my/47357/ http://irep.iium.edu.my/47357/ http://irep.iium.edu.my/47357/ http://irep.iium.edu.my/47357/1/SKSM22_24-26_Nov_2014_AIP_Conf_Proc_1682_%282015%29_-_Mathuri_002047_1-9.pdf http://irep.iium.edu.my/47357/4/47357_The%20properties%20of%20probabilistic%20simple%20regular_Scopus.pdf |
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2023-09-18T21:07:24Z |
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