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

  • Kaoru Onodera
  • Takashi Yokomori
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3892)

Abstract

Two specific mappings called doublerf d and linearizerf are introduced to bridge two domains of languages. That is, f d maps string languages into (double-stranded) molecular languages, while f 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.

Keywords

Regular Language Symmetric Relation Complementary Relation Contextual Grammar Enumerable Language 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Kaoru Onodera
    • 1
  • Takashi Yokomori
    • 2
  1. 1.Mathematics Major, Graduate School of EducationWaseda UniversityTokyoJapan
  2. 2.Department of Mathematics, Faculty of Education and Integrated Arts and SciencesWaseda UniversityTokyoJapan

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