Access the full text.
Sign up today, get DeepDyve free for 14 days.
M. Delorme, J. Mazoyer (1999)
Cellular automata : a parallel model
E. Goles, Nicolas Ollinger, Guillaume Theyssier (2015)
Introducing Freezing Cellular Automata
E. Goles, Pedro Montealegre, Kévin Perrot, Guillaume Theyssier (2018)
On the complexity of two-dimensional signed majority cellular automataJ. Comput. Syst. Sci., 91
M. Delacourt (2011)
Rice's Theorem for μ-Limit Sets of Cellular Automata
E. Ch., Pierre-Etienne Meunier, I. Rapaport, Guillaume Theyssier (2009)
Communication complexity and intrinsic universality in cellular automataTheor. Comput. Sci., 412
Martin Kutrib, Andreas Malcher (2009)
Cellular automata with sparse communicationTheor. Comput. Sci., 411
G. Hedlund (1969)
Endomorphisms and automorphisms of the shift dynamical systemMathematical systems theory, 3
J. Durand-Lose (2009)
Universality of Cellular Automata
R. Vollmar (1981)
On Cellular Automata with a Finite Number of State Changes
Pierre Guillon, Pierre-Etienne Meunier, Guillaume Theyssier (2010)
Clandestine Simulations in Cellular Automata
L. Hurd (1990)
Nonrecursive Cellular Automata Invariant SetsComplex Syst., 4
Nicolas Ollinger, Guillaume Theyssier (2019)
Freezing, Bounded-Change and Convergent Cellular AutomataArXiv, abs/1908.06751
Nicolas Ollinger (2008)
Universalities in cellular automata a (short) survey
M. Delorme, J. Mazoyer, Nicolas Ollinger, Guillaume Theyssier (2011)
Bulking I: An abstract theory of bulkingTheor. Comput. Sci., 412
P. Kurka (2003)
Topological and symbolic dynamics
M. Delorme, J. Mazoyer, Nicolas Ollinger, Guillaume Theyssier (2010)
Bulking II: Classifications of cellular automataTheor. Comput. Sci., 412
J. Delvenne, P. Kurka, V. Blondel (2004)
Decidability and Universality in Symbolic Dynamical SystemsFundam. Informaticae, 74
Olivier Carton, B. Guillon, Fabian Reiter (2018)
Counter Machines and Distributed Automata: A Story about Exchanging Space and TimeArXiv, abs/1804.03582
Turlough Neary, D. Woods (2006)
P-completeness of Cellular Automaton Rule 110
K. Culík, J. Pachl, Sheng Yu (1989)
On the Limit Sets of Cellular AutomataSIAM J. Comput., 18
E. Ch., A. Maass, A. ServetMartínez (1993)
On the Limit Set of Some Universal Cellular AutomataTheor. Comput. Sci., 110
Matthew Cook (2004)
Universality in Elementary Cellular AutomataComplex Syst., 15
M. Minsky (1967)
Computation: Finite and Infinite Machines
[This note is a survey of examples and results about cellular automata with the purpose of recalling that there is no ‘universal’ way of being computationally universal. In particular, we show how some cellular automata can embed efficient but bounded computation, while others can embed unbounded computations but not efficiently. We also study two variants of Boolean circuit embedding, transient versus repeatable simulations, and underline their differences. Finally we show how strong forms of universality can be hidden inside some seemingly simple cellular automata according to some classical dynamical parameters.]
Published: Apr 20, 2022
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.