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  1. Home > Articles & Issues >
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  3. Number conserving ce ...
Article

Number conserving cellular automata: new results on decidability and dynamics

Bruno Durand (1), Enrico Formenti ORCID (1), Aristide Grange (2), Zsuzsanna Róka ORCID (2)
(1) Laboratoire d'informatique Fondamentale de Marseille - UMR 6166
(2) Laboratoire d'Informatique Théorique et Appliquée
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Imported on
November 21, 2016
Published on
December 31, 2002
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AB, Discrete Models for Complex Systems (DMCS'03)
Proceedings
DOI
10.46298/dmtcs.2301
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https://about.hal.science/hal-authorisation-v1
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Number conserving cellular automata: new results on decidability and dynamics

Bruno Durand (1), Enrico Formenti ORCID (1), Aristide Grange (2), Zsuzsanna Róka ORCID (2)
(1) Laboratoire d'informatique Fondamentale de Marseille - UMR 6166
(2) Laboratoire d'Informatique Théorique et Appliquée
Abstract
This paper is a survey on our recent results about number conserving cellular automata. First, we prove the linear time decidability of the property of number conservation. The sequel focuses on dynamical evolutions of number conserving cellular automata.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [NLIN.NLIN-CG]Nonlinear Sciences [physics]/Cellular Automata and Lattice Gases [nlin.CG]
  • cellular automata
  • decidability
  • discrete dynamical systems
  • classification
Mathematics Subject Classification 2020
  • 05-XX - Combinatorics
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