A six-state minimal time solution to the firing squad synchronization problem
Theoretical Computer Science
Variations of the firing squad problem and applications
Information Processing Letters
On optimal solutions to the firing squad synchronization problem
Theoretical Computer Science - Special issue on universal machines and computations
Firing squad synchronization problem in reversible cellular automata
Theoretical Computer Science
The Firing Squad Synchronization Problem on Cayley Graphs
MFCS '95 Proceedings of the 20th International Symposium on Mathematical Foundations of Computer Science
Computation: finite and infinite machines
Computation: finite and infinite machines
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The Firing Squad Synchronization Problem (FSSP), one of the most well-known problems related to cellular automata, was originally proposed by Myhill in 1957 and became famous through the work of Moore. The first solution to this problem was given by Minsky and McCarthy, and a minimal time solution was given by Goto. A considerable amount of research has also dealt with variants of this problem. In this paper, we introduce a new state called the sub-general to the original problem and propose the FSSP with sub-generals. In particular, we consider the case of one sub-general and determine the position of the sub-general in the array that minimizes the synchronization time. Moreover, we determine the minimal time to solve this problem and show that there exists no minimal time solution for any length of array. However, we show that the total time of our algorithm approaches arbitrarily close to the minimal time.