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» Bounds on Non-surjective Cellular Automata
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MFCS
2009
Springer
13 years 11 months ago
Bounds on Non-surjective Cellular Automata
Abstract. Cellular automata (CA) are discrete, homogeneous dynamical systems. Non-surjective one-dimensional CA have nite words with no preimage (called orphans), pairs of dieren...
Jarkko Kari, Pascal Vanier, Thomas Zeume
IFIPTCS
2000
13 years 8 months ago
Real-Time Language Recognition by Alternating Cellular Automata
The capabilities of alternating cellular automata (ACA) to accept formal languages are investigated. Several notions of alternation in cellular automata have been proposed. Here we...
Thomas Buchholz, Andreas Klein, Martin Kutrib
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 2 months ago
Real-Time Sorting of Binary Numbers on One-Dimensional CA
A new fast (real time) sorter of binary numbers by one-dimensional cellular automata is proposed. It sorts a list of n numbers represented by k-bits each in exactly nk steps. This ...
Thomas Worsch, Hidenosuke Nishio
CORR
2010
Springer
79views Education» more  CORR 2010»
13 years 1 months ago
Probabilistic cellular automata, invariant measures, and perfect sampling
In a probabilistic cellular automaton (PCA), the cells are updated synchronously and independently, according to a distribution depending on a finite neighborhood. A PCA can be vi...
Ana Busic, Jean Mairesse, Irene Marcovici
TCS
2011
12 years 12 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