Mathematics – Probability
Scientific paper
2000-03-20
J. of Stat. Phys. vol.103 (2001), no. 1/2, 45-267
Mathematics
Probability
166 pages, 17 figures
Scientific paper
In a probabilistic cellular automaton in which all local transitions have positive probability, the problem of keeping a bit of information indefinitely is nontrivial, even in an infinite automaton. Still, there is a solution in 2 dimensions, and this solution can be used to construct a simple 3-dimensional discrete-time universal fault-tolerant cellular automaton. This technique does not help much to solve the following problems: remembering a bit of information in 1 dimension; computing in dimensions lower than 3; computing in any dimension with non-synchronized transitions. Our more complex technique organizes the cells in blocks that perform a reliable simulation of a second (generalized) cellular automaton. The cells of the latter automaton are also organized in blocks, simulating even more reliably a third automaton, etc. Since all this (a possibly infinite hierarchy) is organized in ``software'', it must be under repair all the time from damage caused by errors. A large part of the problem is essentially self-stabilization recovering from a mess of arbitrary size and content. The present paper constructs an asynchronous one-dimensional fault-tolerant cellular automaton, with the further feature of ``self-organization''. The latter means that unless a large amount of input information must be given, the initial configuration can be chosen homogeneous.
No associations
LandOfFree
Reliable Cellular Automata with Self-Organization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Reliable Cellular Automata with Self-Organization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reliable Cellular Automata with Self-Organization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-392834