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» Intrinsic Universality in Self-Assembly
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STACS
2010
Springer
13 years 11 months ago
Intrinsic Universality in Self-Assembly
We show that the Tile Assembly Model exhibits a strong notion of universality where the goal is to give a single tile assembly system that simulates the behavior of any other tile...
David Doty, Jack H. Lutz, Matthew J. Patitz, Scott...
CORR
2010
Springer
126views Education» more  CORR 2010»
13 years 2 months ago
Triangular Self-Assembly
We discuss the self-assembly system of triangular tiles instead of square tiles, in particular right triangular tiles and equilateral triangular tiles. We show that the triangular...
Lila Kari, Shinnosuke Seki, Zhi Xu
TCS
2011
12 years 11 months ago
Four states are enough!
This paper presents a 1D intrinsically universal cellular automaton with four states for a first neighbors neighborhood, improving on the previous lower bound and getting nearer ...
Nicolas Ollinger, Gaétan Richard
TCS
2011
12 years 11 months ago
Communication complexity and intrinsic universality in cellular automata
Let F be a cellular automaton (CA). This paper establishes necessary conditions for F in order to be intrinsically universal. The central idea is to consider the communication com...
Eric Goles Chacc, Pierre-Etienne Meunier, Ivan Rap...
STACS
1997
Springer
13 years 8 months ago
Intrinsic Universality of a 1-Dimensional Reversible Cellular Automaton
Abstract. This paper deals with simulation and reversibility in the context of Cellular Automata (ca). We recall the de nitions of ca and of the Block (bca) and Partitioned (pca) s...
Jérôme Olivier Durand-Lose