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Model-checking and control of self-assembly

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2 Author(s)
McNew, J.-M. ; Dept. of Electr. Eng., Washington Univ., Seattle, WA ; Klavins, E.

Graph grammars can be used to model highly distributed systems where local interaction rules control formation or self-assembly tasks. In this paper, we explore model-checking graph grammar systems, introducing the zero-one-many collapse as a way of reducing the usually enormous number of states and transitions produced by a graph grammar system. From this collapse, we also define a canonical initial graph, that captures some of the characteristic behavior of larger graphs with the same zero-one-many collapse. Finally, we show through examples how these results allow us to effectively reason about the behavior of a graph grammar - and also how to improve a graph grammar based on an analysis of its collapsed Kripke structures

Published in:

American Control Conference, 2006

Date of Conference:

14-16 June 2006

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