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CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 8 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
FUIN
2002
113views more  FUIN 2002»
13 years 10 months ago
Cellular Automata and Intermediate Reachability Problems
Abstract. We exhibit one-dimensional cellular automata whose reachability and confluence problems have arbitrary r.e. degree of unsolvability.
Klaus Sutner
DAM
2002
125views more  DAM 2002»
13 years 10 months ago
Complexity of Langton's ant
The virtual ant introduced by Langton [Physica D 22 (1986) 120] has an interesting behavior, which has been studied in several contexts. Here we give a construction to calculate a...
Anahí Gajardo, Andrés Moreira, Eric ...
ARC
2007
Springer
118views Hardware» more  ARC 2007»
14 years 3 months ago
Simulation of the Dynamic Behavior of One-Dimensional Cellular Automata Using Reconfigurable Computing
This paper presents the implementation of an environment for the evolution of one-dimensional cellular automata using a reconfigurable logic device. This configware is aimed at eva...
Wagner Rodrigo Weinert, César Manuel Vargas...
STACS
2005
Springer
14 years 4 months ago
Cellular Automata: Real-Time Equivalence Between One-Dimensional Neighborhoods
Abstract. It is well known that one-dimensional cellular automata working on the usual neighborhood are Turing complete, and many acceleration theorems are known. However very litt...
Victor Poupet
ACRI
2008
Springer
14 years 5 months ago
On the Representation of Gliders in Rule 54 by De Bruijn and Cycle Diagrams
Abstract. Rule 54, in Wolfram’s notation, is one of elementary yet complexly behaving one-dimensional cellular automata. The automaton supports gliders, glider guns and other non...
Genaro Juárez Martínez, Andrew Adama...