By Satoshi Murata, Satoshi Kobayashi

This booklet constitutes the refereed complaints of the 20 th foreign convention on DNA Computing and Molecular Programming, DNA 20, held in Kyoto, Japan, in September 2014. the ten complete papers awarded have been conscientiously chosen from fifty five submissions. The papers are prepared in lots of disciplines (including arithmetic, laptop technological know-how, physics, chemistry, fabric technology and biology) to handle the research, layout, and synthesis of information-based molecular systems.

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Additional resources for DNA Computing and Molecular Programming: 20th International Conference, DNA 20, Kyoto, Japan, September 22-26, 2014. Proceedings

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In: SODA: Proceedings of the Twenty-fourth Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1526–1536 (January 2012) 4. : Folded gastrulation, cell shape change and the control of myosin localization. Development 132(18), 4165–4178 (2005) 5. : Theory of algorithmic self-assembly. Communications of the ACM 55, 78–88 (2012) 6. : The tile assembly model is intrinsically universal. In: FOCS: Proceedings of the 53rd Annual IEEE Symposium on Foundations of Computer Science, pp. -L. Chen et al. 7.

Doty, and D. Soloveichik Relaxing the definition of probability 1 computation further does not increase computational power. An alternative definition of probability 1 limit-stable computation is to require that as time goes to infinity, the probability of expressing the correct output approaches 1. In contrast to limit-stability, the output may change infinitely often. Note that this is exactly the distinction between almost sure convergence and convergence in probability. Our proof that probability 1 limit-stable computation is limited to Δ02 predicates applies to this weaker sense of convergence as well, bolstering the generality of our result.

The axial directions D = {±− x , ±− y , ±− w } are → − 2 the unit vectors along axes x, y, w. A pair p ∈ Z is called a grid point and has → → → the set of six neighbors {− p +− u |− u ∈ D}. Let S be a finite set of monomer states. A nubot monomer is a pair X = (si , p(X)) where si ∈ S is a state and p(X) ∈ Z2 is a grid point. Two monomers on neighboring grid points are either connected by a flexible or rigid bond, or else have no bond (called a null bond). Bonds are described in more detail below.

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