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Linearizer and Doubler : Two Mappings to Unify Molecular Computing Models Based on DNA Complementarity

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DNA Computing (DNA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3892))

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Abstract

Two specific mappings called doublerf d and linearizerf ℓ are introduced to bridge two domains of languages. That is, f d maps string languages into (double-stranded) molecular languages, while f ℓ transforms in the other way around. Using these mappings, we give new characterizations for the families of sticker languages and of Watson-Crick languages, which leads to not only a unified view of the two families of languages but also a clarified view of the computational capability of the DNA complementarity. One of the results implies that any recursively enumerable language can be expressed as the projective image of f d (L) for a minimal linear language L.

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Author information

Authors and Affiliations

  1. Mathematics Major, Graduate School of Education, Waseda University, 1-6-1 Nishiwaseda, Shinjyuku-ku, Tokyo, 169-8050, Japan

    Kaoru Onodera

  2. Department of Mathematics, Faculty of Education and Integrated Arts and Sciences, Waseda University, 1-6-1 Nishiwaseda, Shinjyuku-ku, Tokyo, 169-8050, Japan

    Takashi Yokomori

Authors
  1. Kaoru Onodera
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  2. Takashi Yokomori
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Université Pierre et Marie Curie, INSERM U511,, 91 Boulevard de L’Hôpital, 75013, Paris, France

    Alessandra Carbone

  2. California Institute of Technology, Applied and Computational Mathematics, Bioengineering,, MC 114-96, 91125, Pasadena, CA, USA

    Niles A. Pierce

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© 2006 Springer-Verlag Berlin Heidelberg

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Onodera, K., Yokomori, T. (2006). Linearizer and Doubler : Two Mappings to Unify Molecular Computing Models Based on DNA Complementarity. In: Carbone, A., Pierce, N.A. (eds) DNA Computing. DNA 2005. Lecture Notes in Computer Science, vol 3892. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11753681_18

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  • DOI: https://doi.org/10.1007/11753681_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34161-1

  • Online ISBN: 978-3-540-34165-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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