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Computer Science > Formal Languages and Automata Theory

arXiv:1208.2765v1 (cs)
[Submitted on 14 Aug 2012]

Title:Phase Space Invertible Asynchronous Cellular Automata

Authors:Simon Wacker (Karlsruhe Institute of Technology, Germany), Thomas Worsch (Karlsruhe Institute of Technology, Germany)
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Abstract:While for synchronous deterministic cellular automata there is an accepted definition of reversibility, the situation is less clear for asynchronous cellular automata. We first discuss a few possibilities and then investigate what we call phase space invertible asynchronous cellular automata in more detail. We will show that for each Turing machine there is such a cellular automaton simulating it, and that it is decidable whether an asynchronous cellular automaton has this property or not, even in higher dimensions.
Comments: In Proceedings AUTOMATA&JAC 2012, arXiv:1208.2498
Subjects: Formal Languages and Automata Theory (cs.FL); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM); Cellular Automata and Lattice Gases (nlin.CG)
ACM classes: F.1.1;F.1.2;F.1.3
Cite as: arXiv:1208.2765 [cs.FL]
  (or arXiv:1208.2765v1 [cs.FL] for this version)
  https://doi.org/10.48550/arXiv.1208.2765
Journal reference: EPTCS 90, 2012, pp. 236-254
Related DOI: https://doi.org/10.4204/EPTCS.90.19

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Tue, 14 Aug 2012 01:55:52 UTC (22 KB)
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