Reversibility of Elementary Cellular Automata Under Fully Asynchronous Update

Biswanath Sethi 1 Nazim Fatès 2 Sukanta Das 3
1 Indira Gandhi Institute of Technology
2 MAIA - Autonomous intelligent machine
Inria Nancy - Grand Est, LORIA - AIS - Department of Complex Systems, Artificial Intelligence & Robotics
3 Department of Information Technology [Howrah]
Abstract : We investigate the dynamics of Elementary Cellular Automata (ECA) under fully asynchronous update with periodic boundary conditions. We tackle the reversibility issue, that is, we want to determine whether, starting from any initial condition, it is possible to go back to this initial condition with random updates. We present analytical tools that allow us to partition the ECA space into three classes: strongly irreversible, irreversible and recurrent.
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Communication dans un congrès
Theory and Applications of Models of Computation, Apr 2014, Chennai, India. Springer, Lecture Notes of Computer Science, 8402, Theory and Applications of Models of Computation. 〈10.1007/978-3-319-06089-7_4〉
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Biswanath Sethi, Nazim Fatès, Sukanta Das. Reversibility of Elementary Cellular Automata Under Fully Asynchronous Update. Theory and Applications of Models of Computation, Apr 2014, Chennai, India. Springer, Lecture Notes of Computer Science, 8402, Theory and Applications of Models of Computation. 〈10.1007/978-3-319-06089-7_4〉. 〈hal-00906987v2〉

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