On Representing Natural Languages and Bio-molecular Structures using Matrix Insertion-deletion Systems and its Computational Completeness

Lakshmanan Kuppusamy, Anand Mahendran, Shankara Krishna Narayanan

Abstract

Insertion and deletion are considered to be the basic operations in Biology, more specifically in DNA processing and RNA editing. Based on these evolutionary transformations, a computing model insertion-deletion system has been proposed in formal language theory. Recently, in [14], a new computing model named Matrix insertion-deletion system has been introduced to model various bio-molecular structures. In this paper, we represent some natural language constraints such as triple agreement, crossed dependency, copy language using Matrix insertion-deletion systems and discuss how these constraints resemble some bio-molecular structures. Next, we analyze the computational completeness result for Matrix insertion-deletion system where the importance is given for not using any contexts when deletion rule takes place.We see that when the insertion-deletion system is combined with matrix grammar, the universality result is obtained with weight just 3 (1, 1; 1, 0) whereas for insertion-deletion systems, the universality result is available with weight 4 (1, 1; 1, 1).

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Paper Citation


in Harvard Style

Kuppusamy L., Mahendran A. and Krishna Narayanan S. (2011). On Representing Natural Languages and Bio-molecular Structures using Matrix Insertion-deletion Systems and its Computational Completeness . In Proceedings of the 1st International Workshop on AI Methods for Interdisciplinary Research in Language and Biology - Volume 1: BILC, (ICAART 2011) ISBN 978-989-8425-42-3, pages 47-56. DOI: 10.5220/0003308900470056


in Bibtex Style

@conference{bilc11,
author={Lakshmanan Kuppusamy and Anand Mahendran and Shankara Krishna Narayanan},
title={On Representing Natural Languages and Bio-molecular Structures using Matrix Insertion-deletion Systems and its Computational Completeness},
booktitle={Proceedings of the 1st International Workshop on AI Methods for Interdisciplinary Research in Language and Biology - Volume 1: BILC, (ICAART 2011)},
year={2011},
pages={47-56},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003308900470056},
isbn={978-989-8425-42-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 1st International Workshop on AI Methods for Interdisciplinary Research in Language and Biology - Volume 1: BILC, (ICAART 2011)
TI - On Representing Natural Languages and Bio-molecular Structures using Matrix Insertion-deletion Systems and its Computational Completeness
SN - 978-989-8425-42-3
AU - Kuppusamy L.
AU - Mahendran A.
AU - Krishna Narayanan S.
PY - 2011
SP - 47
EP - 56
DO - 10.5220/0003308900470056