A model for distributed systems based on graph rewriting
Journal of the ACM (JACM)
Algorithmic self-assembly of dna
Algorithmic self-assembly of dna
Complexity of Self-Assembled Shapes
SIAM Journal on Computing
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In 2004, Klavins et al. introduced the use of graph grammars to describe--and to program--systems of self-assembly. It turns out that these graph grammars can be embedded in a graph rewriting characterization of distributed systems that was proposed by Degano and Montanari over twenty years ago. By applying techniques obtained from this observation, we prove a generalized version of Soloveichik and Winfree's theorem on local determinism. We also obtain a canonical method to simulate asynchronous constant-size-message-passing models of distributed computing with systems of self-assembly.