Modular Verification of DNA Strand Displacement Networks via Serializability Analysis

  • Matthew R. Lakin
  • Andrew Phillips
  • Darko Stefanovic
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8141)

Abstract

DNA strand displacement gates can be used to emulate arbitrary chemical reactions, and a number of different schemes have been proposed to achieve this. Here we develop modular correctness proofs for strand displacement encodings of chemical reaction networks and show how they may be applied to two-domain strand displacement systems. Our notion of correctness is serializability of interleaved reaction encodings, and we infer this global property from the properties of the gates that encode the individual chemical reactions. This allows correctness to be inferred for arbitrary systems constructed using these components, and we illustrate this by applying our results to a two-domain implementation of a well-known approximate majority voting system.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Matthew R. Lakin
    • 1
  • Andrew Phillips
    • 2
  • Darko Stefanovic
    • 1
    • 3
  1. 1.Department of Computer ScienceUniversity of New MexicoUSA
  2. 2.Biological Computation Group, Microsoft ResearchCambridgeUK
  3. 3.Center for Biomedical EngineeringUniversity of New MexicoUSA

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