A New Sensing 5'–>3' Watson-Crick Automata Concept

Watson-Crick (WK) finite automata are working on a Watson-Crick tape, that is, on a DNA molecule. Therefore, it has two reading heads. While in traditional WK automata both heads read the whole input in the same physical direction, in 5'–>3' WK automata the heads start from the two extr...

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Main Authors: Benedek Nagy, Shaghayegh Parchami, Hamid Mir-Mohammad-Sadeghi
Format: Article
Language:English
Published: Open Publishing Association 2017-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1708.06469v1
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author Benedek Nagy
Shaghayegh Parchami
Hamid Mir-Mohammad-Sadeghi
author_facet Benedek Nagy
Shaghayegh Parchami
Hamid Mir-Mohammad-Sadeghi
author_sort Benedek Nagy
collection DOAJ
description Watson-Crick (WK) finite automata are working on a Watson-Crick tape, that is, on a DNA molecule. Therefore, it has two reading heads. While in traditional WK automata both heads read the whole input in the same physical direction, in 5'–>3' WK automata the heads start from the two extremes and read the input in opposite direction. In sensing 5'–>3' WK automata the process on the input is finished when the heads meet. Since the heads of a WK automaton may read longer strings in a transition, in previous models a so-called sensing parameter took care for the proper meeting of the heads (not allowing to read the same positions of the input in the last step). In this paper, a new model is investigated, which works without the sensing parameter (it is done by an appropriate change of the concept of configuration). Consequently, the accepted language classes of the variants are also changed. Various hierarchy results are proven in the paper.
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spelling doaj.art-61b06c6f2a9740e39aed5f25afa3d8872022-12-22T02:05:44ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802017-08-01252Proc. AFL 201719520410.4204/EPTCS.252.19:21A New Sensing 5'–>3' Watson-Crick Automata ConceptBenedek Nagy0Shaghayegh Parchami1Hamid Mir-Mohammad-Sadeghi2 Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University Watson-Crick (WK) finite automata are working on a Watson-Crick tape, that is, on a DNA molecule. Therefore, it has two reading heads. While in traditional WK automata both heads read the whole input in the same physical direction, in 5'–>3' WK automata the heads start from the two extremes and read the input in opposite direction. In sensing 5'–>3' WK automata the process on the input is finished when the heads meet. Since the heads of a WK automaton may read longer strings in a transition, in previous models a so-called sensing parameter took care for the proper meeting of the heads (not allowing to read the same positions of the input in the last step). In this paper, a new model is investigated, which works without the sensing parameter (it is done by an appropriate change of the concept of configuration). Consequently, the accepted language classes of the variants are also changed. Various hierarchy results are proven in the paper.http://arxiv.org/pdf/1708.06469v1
spellingShingle Benedek Nagy
Shaghayegh Parchami
Hamid Mir-Mohammad-Sadeghi
A New Sensing 5'–>3' Watson-Crick Automata Concept
Electronic Proceedings in Theoretical Computer Science
title A New Sensing 5'–>3' Watson-Crick Automata Concept
title_full A New Sensing 5'–>3' Watson-Crick Automata Concept
title_fullStr A New Sensing 5'–>3' Watson-Crick Automata Concept
title_full_unstemmed A New Sensing 5'–>3' Watson-Crick Automata Concept
title_short A New Sensing 5'–>3' Watson-Crick Automata Concept
title_sort new sensing 5 3 watson crick automata concept
url http://arxiv.org/pdf/1708.06469v1
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