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There are several proofs now for the stability of Toom's example of a two-dimensional stable cellular automaton and its application to fault-tolerant computation.
Andrei L. Toom, Stable and attractive trajectories in multicomponent systems , Multicomponent Systems (R. L. Dobrushin, ed.), Advances in Probability, vol. 6, Dekker, New York, 1980, Translation from Russian, pp. 549–575
1980
Earlier work this paper cites.
Piotr Berman and Janos Simon, Investigations of fault-tolerant networks of computers , Proc. of the 20-th Annual ACM Symp. on the Theory of Computing, 1988, pp. 66–77
1988
Cited alongside, same era.
Peter Gács and John Reif, A simple three-dimensional real-time reliable cellular array , Journal of Computer and System Sciences 36
1988
Later among the works it cites.
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