A Small Five-State Non-Optimum-Time Solution to the Firing Squad Synchronization Problem

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  • A Geometrical Approach

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An existence or non-existence of five-state firing squad synchronization protocol has been a long-standing, famous open problem for a long time. In this paper, we answer partially to this problem by proposing a small five-state firing squad synchronization algorithm that can synchronize any one-dimensional cellular array of length n = 2$^k$ in 3n − 3 steps for any positive integer k.

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