On real-time cellular automata and trellis automata
Acta Informatica
SIAM Journal on Computing
On the power of one-way communication
Journal of the ACM (JACM)
Recognizing majority on a one-way mesh
Information Processing Letters
Relating the power of cellular arrays to their closure properties
Theoretical Computer Science
Variations of the firing squad problem and applications
Information Processing Letters
On real time one-way cellular array
Theoretical Computer Science
Two-dimensional cellular automata recognizer
Theoretical Computer Science - Special issue on Caen '97
Generation of Primes by a One-Dimensional Real-Time Iterative Array
Journal of the ACM (JACM)
Two-dimensional cellular automata and deterministic on-line tessalation automata
Theoretical Computer Science
Two-dimensional cellular automata and their neighborhoods
Theoretical Computer Science
Languages not recognizable in real time by one-dimensional cellular automata
Journal of Computer and System Sciences
Hi-index | 5.23 |
Concerning the power of one-dimensional cellular automata recognizers, Ibarra and Jiang have proved that real time cellular automata (CA) and linear time CA are equivalent if and only if real time CA is closed under reverse. In this paper we investigate the question of equality of real time CA and linear time CA with respect to the operations of concatenation and cycle. In particular, we prove that if real time CA is closed under concatenation then real time CA is as powerful as linear time CA on the unary languages. We also prove that the question of knowing whether real time CA is as powerful than linear time CA is equivalent to the question of whether real time CA is closed under cycle. Moreover, in the case of two-dimensional CA recognizers, we investigate how restricted communication reduces the computational power. In particular, we show that real time CA and linear time CA with restricted variants of Moore and Von Neumann neighborhoods are not closed under rotation. Furthermore, they are not equivalent to real time CA with Moore or Von Neumann neighborhoods.