A six-state minimal time solution to the firing squad synchronization problem
Theoretical Computer Science
Seven-state solutions to the Firing Squad Synchronization Problem
Theoretical Computer Science
On optimal solutions to the firing squad synchronization problem
Theoretical Computer Science - Special issue on universal machines and computations
Generation of Primes by a One-Dimensional Real-Time Iterative Array
Journal of the ACM (JACM)
ACRI '01 Proceedings of the 5th International Conference on Cellular Automata for Research and Industry
MCU '01 Proceedings of the Third International Conference on Machines, Computations, and Universality
Computation: finite and infinite machines
Computation: finite and infinite machines
Fundamenta Informaticae - SPECIAL ISSUE MCU2004
A seven-state time-optimum square synchronizer
ACRI'10 Proceedings of the 9th international conference on Cellular automata for research and industry
ACRI'06 Proceedings of the 7th international conference on Cellular Automata for Research and Industry
ACRI'06 Proceedings of the 7th international conference on Cellular Automata for Research and Industry
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Synchronization of large-scale networks is an important and fundamental computing primitive in parallel and distributed systems. The firing squad synchronization problem (FSSP) on cellular automata (CA) has been studied extensively for more than fifty years, and a rich variety of synchronization algorithms has been proposed for not only one-dimensional but two-dimensional arrays. In the present paper, we study the FSSP on 1-bit-communication cellular automata, CA1-bit. The CA1-bit is a weakest subclass of CAs in which the amount of inter-cell communication bits transferred among neighboring cells at one step is restricted to 1-bit. We propose two state-efficient implementations of optimum-time FSSP algorithms for the CA1-bit and show that the communication restriction has no influence on the design of optimum-time FSSP algorithms. The implementations proposed are the smallest ones, known at present.