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Closure properties of Watson-Crick grammars

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It is established that the Watson-Crick regular grammars are closed under almost all of the main closure operations, while the differences between other Watson-crick grammARS with their corresponding Chomsky Grammars depend on the computational power of the Watson -Crick gramMars which still need to be studied.
Abstract
In this paper, we define Watson-Crick context-free grammars, as an extension of Watson-Crick regular grammars and Watson-Crick linear grammars with context-free grammar rules. We show the relation of Watson-Crick (regular and linear) grammars to the sticker systems, and study some of the important closure properties of the Watson-Crick grammars. We establish that the Watson-Crick regular grammars are closed under almost all of the main closure operations, while the differences between other Watson-Crick grammars with their corresponding Chomsky grammars depend on the computational power of the Watson-Crick grammars which still need to be studied.

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Closure properties of Watson-Crick grammars (Conference Paper)
, , ,
Department of Computer Science, Kulliyyah of Information and Communication Technology, International Islamic
University Malaysia, Kuala Lumpur, Malaysia
Department of Information System, Kulliyyah of Information and Communication Technology, International Islamic
University Malaysia, Kuala Lumpur, Malaysia
Abstract
In this paper, we define Watson-Crick context-free grammars, as an extension of Watson-Crick regular grammars and
Watson-Crick linear grammars with context-free grammar rules. We show the relation of Watson-Crick (regular and
linear) grammars to the sticker systems, and study some of the important closure properties of the Watson-Crick
grammars. We establish that the Watson-Crick regular grammars are closed under almost all of the main closure
operations, while the differences between other Watson-Crick grammars with their corresponding Chomsky
grammars depend on the computational power of the Watson-Crick grammars which still need to be studied. © 2015
AIP Publishing LLC.
Kari, L.,Seki, S.,Sosik, P.
(2012)
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AIP Conference Proceedings
Volume 1691, 11 December 2015, Article number040032
2nd Innovation and Analytics Conference and Exhibition, IACE 2015; TH HotelAlor Setar, Kedah; Malaysia; 29
September 2015through1 October 2015; Code121270
Binti Mohamad Zulkufli, N.L.
a
Turaev, S.
a
Tamrin, M.I.M.
b
Azeddine, M.
a
a
b
 View references (15)
ISSN: 0094243X
ISBN: 978-073541338-2
Source Type: Conference
Proceeding
Original language: English
DOI: 10.1063/1.4937082
Document Type: Conference Paper
Volume Editors: Ahmad N.,Zulkepli J.,Ibrahim A.,Aziz
N.,Abdul-Rahman S.
Sponsors:
Publisher: American Institute of Physics Inc.
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The computational power of
Watson-Crick grammars:
Revisited
Mohamad Zulkufli, N.L. Turaev,
S. Mohd Tamrin, M.I.
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Computational Properties of
Watson-Crick Context-Free
Grammars
Zulkufli, N.L.B.M. Turaev, S.
Tamrin, M.I.M.
The computational power of
Watson-Crick grammars:
Revisited
Mohamad Zulkufli, N.L. Turaev,
S. Mohd Tamrin, M.I.

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The 21st National Symposium on Methematical Sciences
Mohamad Zulkifli, N.,Turaev, S.,Mohd Tamrin, M.,Messikh, A.
Watson-crick linear grammars
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Lecture Notes in Electrical Engineering (DaEng 2015)
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(Bali, Indonesia) (to appear)
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DNA Computing. New Computing Paradigms
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languages
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12
DNA computing, sticker systems, and universality*
Cited 71 times
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(2016) Communications in
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Science
, ,
(2011) Proceedings - 2011 6th
International Conference on Bio-
Inspired Computing: Theories
and Applications, BIC-TA 2011
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doi: 10.3233/FI-2010-336
Subramanian, K.G.,Venkat, I.,Mahalingam, K.
(2011)
Bio-Inspired Computing: Theories and Applications (BIC-TA)
Reece, J.,Cain, M.L.,Wasserman, S.,Minorsky, P.V.,Jackson, R.B.
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U. L.A., (10 Edition) (Pearson Education, Inc.)
Turaev, S.; Department of Computer Science, Kulliyyah of Information and Communication Technology,
International Islamic University Malaysia, Kuala Lumpur, Malaysia; email:
© Copyright 2016 Elsevier B.V., All rights reserved.
13
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14
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sherzod@iium.edu.my
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Journal ArticleDOI

Watson–Crick Context-Free Grammars: Grammar Simplifications and a Parsing Algorithm

TL;DR: A modified CYK (Cocke–Younger–Kasami) algorithm for Watson–Crick context-free grammars in WK-Chomsky normal form, allowing to parse double-stranded strings in O(n^6) time.
Proceedings ArticleDOI

Computational Properties of Watson-Crick Context-Free Grammars

TL;DR: It is shown that the family of arbitrary sticker languages, generated from arbitrary sticker systems, is included in theFamily of Watson-Crick linear languages,generated from Watson-crick linear grammars.
Journal ArticleDOI

Static Watson-Crick Context-Free Grammars

TL;DR: The main result of the paper is to determine the generative powers of static Watson-Crick context-free grammars, which is a grammar counterpart of sticker systems that generates the double-stranded strings and uses rule as in context- free grammar.
Book ChapterDOI

The Computational Power of Watson-Crick Grammars: Revisited

TL;DR: Results concerning the generative power of Watson-Crick (regular, linear, context-free) grammars are presented and it is shown that the family of Watson -Crick context- free languages is included in thefamily of matrix languages.
Journal ArticleDOI

Static Watson-Crick Linear Grammars and Its Computational Power

TL;DR: A new variant of static Watson-Crick linear grammar is introduced as an extension of static IBM regular grammar, a grammar counterpart of sticker system that generates the double-stranded strings and uses rule as in linear grammar.
References
More filters
BookDOI

Handbook of Formal Languages

TL;DR: This first handbook of formal languages gives a comprehensive up-to-date coverage of all important aspects and subareas of the field.
Book

DNA Computing: New Computing Paradigms

TL;DR: This book starts with an introduction to DNA computing, exploring the power of complementarity, the basics of biochemistry, and language and computation theory, and brings the reader to the most advanced theories develop thus far in this emerging research area.
Journal ArticleDOI

DNA computing, sticker systems, and universality ?

TL;DR: Several types of sticker systems are shown to characterize (modulo a weak coding) the regular languages, hence the power of finite automata, and one variant is proven to be equivalent to Turing machines.
Journal ArticleDOI

Distinct effects of EGFR ligands on human mammary epithelial cell differentiation.

TL;DR: The present data validate the utility of the K5+K19- hMEC cells for modeling key features of human MEC differentiation and should be useful in studying molecular/biochemical mechanisms of humanMEC differentiation.
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Q1. What are the contributions in this paper?

In this paper, the authors define Watson-Crick context-free grammars, as an extension of Watson-Crick regular grammars and Watson-Crick linear grammars with context-free grammar rules. The authors show the relation of Watson-Crick ( regular and linear ) grammars to the sticker systems, and study some of the important closure properties of the Watson-Crick grammars. The authors establish that the Watson-Crick regular grammars are closed under almost all of the main closure operations, while the differences between other Watson-Crick grammars with their corresponding Chomsky grammars depend on the computational power of the Watson-Crick grammars which still need to be studied.