On real-time cellular automata and trellis automata
Acta Informatica
Parallel parsing on a one-way array of finite-state machines
IEEE Transactions on Computers
SIAM Journal on Computing
On the power of one-way communication
Journal of the ACM (JACM)
Relating the power of cellular arrays to their closure properties
Theoretical Computer Science
Two-dimensional iterative arrays: characterizations and applications
Theoretical Computer Science - International Symposium on Mathematical Foundations of Computer Science, Bratisl
Alternating multihead finite automata
Theoretical Computer Science
Variations of the firing squad problem and applications
Information Processing Letters
Theoretical Computer Science
On real time one-way cellular array
Theoretical Computer Science
Generation of Primes by a One-Dimensional Real-Time Iterative Array
Journal of the ACM (JACM)
A universal interconnection pattern for parallel computers
Journal of the ACM (JACM)
ICALP '95 Proceedings of the 22nd International Colloquium on Automata, Languages and Programming
Characterization of real time iterative array by alternating device
Theoretical Computer Science
Hi-index | 5.23 |
In this paper, multidimensional cellular automaton are considered. We investigate the hierarchy designed by the low complexity classes when the dimensionality is increased. Whether this hierarchy is strict, is an open problem. However, we compare different variants and study their closure properties. We present also a correspondence between a main variant of multidimensional real-time cellular automata and one-way multihead alternating finite automata.