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MCU
2004
105views Hardware» more  MCU 2004»
13 years 6 months ago
Computational Universality in Symbolic Dynamical Systems
Many different definitions of computational universality for various types of systems have flourished since Turing's work. In this paper, we propose a general definition of un...
Jean-Charles Delvenne, Petr Kurka, Vincent D. Blon...
FUIN
2006
85views more  FUIN 2006»
13 years 5 months ago
Decidability and Universality in Symbolic Dynamical Systems
Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of univers...
Jean-Charles Delvenne, Petr Kurka, Vincent D. Blon...
CIE
2005
Springer
13 years 10 months ago
Abstract Geometrical Computation: Turing-Computing Ability and Undecidability
geometrical computation: Turing-computing ability and undecidability J´erˆome Durand-Lose Laboratoire d’Informatique Fondamentale d’Orl´eans, Universit´e d’Orl´eans, B.P...
Jérôme Durand-Lose
MCU
1998
154views Hardware» more  MCU 1998»
13 years 6 months ago
A computation-universal two-dimensional 8-state triangular reversible cellular automaton
A reversible cellular automaton (RCA) is a cellular automaton (CA) whose global function is injective and every configuration has at most one predecessor. Margolus showed that the...
Katsunobu Imai, Kenichi Morita
ACRI
2008
Springer
13 years 11 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...