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Probabilistic simple sticker systems

Selvarajoo, Mathuri and Fong, Wan Heng and Sarmin, Nor Haniza and Turaev, Sherzod (2017) Probabilistic simple sticker systems. In: 4th International Conference on Mathematical Sciences (ICMS 2016), 15th-17th November 2016, Palm Garden Hotel, IOI Resort, Putrajaya, Malaysia.

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Abstract

A model for DNA computing using the recombination behavior of DNA molecules, known as a sticker system, was introduced by by L. Kari, G. Paun, G. Rozenberg, A. Salomaa, and S. Yu in the paper entitled DNA computing, sticker systems and universality from the journal of Acta Informatica vol. 35, pp. 401-420 in the year 1998. A sticker system uses the Watson-Crick complementary feature of DNA molecules: starting from the incomplete double stranded sequences, and iteratively using sticking operations until a complete double stranded sequence is obtained. It is known that sticker systems with finite sets of axioms and sticker rules generate only regular languages. Hence, different types of restrictions have been considered to increase the computational power of sticker systems. Recently, a variant of restricted sticker systems, called probabilistic sticker systems, has been introduced [4]. In this variant, the probabilities are initially associated with the axioms, and the probability of a generated string is computed by multiplying the probabilities of all occurrences of the initial strings in the computation of the string. Strings for the language are selected according to some probabilistic requirements. In this paper, we study fundamental properties of probabilistic simple sticker systems. We prove that the probabilistic enhancement increases the computational power of simple sticker systems.

Item Type: Conference or Workshop Item (Plenary Papers)
Additional Information: 6846/58703
Uncontrolled Keywords: simple sticker systems
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Information and Communication Technology > Department of Computer Science
Kulliyyah of Information and Communication Technology > Department of Computer Science
Depositing User: Dr. Sherzod Turaev
Date Deposited: 10 Oct 2017 11:41
Last Modified: 18 Aug 2019 15:24
URI: http://irep.iium.edu.my/id/eprint/58703

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