On real-time cellular automata and trellis automata
Acta Informatica
Reliable computation with cellular automata
Journal of Computer and System Sciences
A simple three-dimensional real-time reliable cellular array
Journal of Computer and System Sciences - 17th Annual ACM Symposium in the Theory of Computing, May 6-8, 1985
Minimal time synchronization in restricted defective cellular automata
Journal of Information Processing and Cybernetics
The synchronization of nonuniform networks of finite automata
Information and Computation
Language not recognizable in real time by one-way cellular automata
Theoretical Computer Science
Some relations between massively parallel arrays
Parallel Computing - Special issue: cellular automata
Theoretical Computer Science
Signals in one-dimensional cellular automata
Theoretical Computer Science - Special issue: cellular automata
Nature-based problems in cellular automata
CiE'11 Proceedings of the 7th conference on Models of computation in context: computability in Europe
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The general capabilities of reliable computations in linear cellular arrays are investigated in terms of syntactical pattern recognition. We consider defects of the processing elements themselves and defects of their communication links. In particular, a processing element (cell) is assumed to behave as follows. Dependent on the result of a self-diagnosis it stores its working state locally such that it becomes visible to the neighbors. A defective cell cannot modify information but is able to transmit it unchanged with unit speed. Cells with link failures are not able to receive information via at most one of their both links to adjacent cells. Moreover, static and dynamic defects are distinguished.It is shown that fault tolerant real-time recognition capabilities of two-way arrays with static defects are characterizable by intact one-way arrays and that one-way arrays are fault tolerant per se. For arrays with dynamic defects it is proved that all failures can be compensated as long as the number of adjacent defective cells is bounded.In case of arrays with link failures it is shown that the sets of patterns that are reliably recognizable are strictly in between the sets of (intact) one-way and (intact) two-way arrays.