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- W2014876070 abstract "The firing squad synchronization problem has been studied extensively for more than forty years, and a rich variety of synchronization algorithms have been proposed. In the present paper, we describe a computer-assisted investigation into state transition tables for which optimum-time synchronization algorithms have been designed. We show that the first transition rule set designed by Waksman [(1966) Inf. Control, 9: 66-78] includes fundamental errors which cause unsuccessful firings and that ninety-three percent of the rules are redundant. In addition, the transition rule sets reported by Balzer [(1967) Inf. Control, 10: 22-42], Gerken [(1987), Diplomarbeit, Institut fur Theoretische Informatik, Technische Universitat Braunschweig, 502] and Mazoyer [(1987) Theor. Comput. Sci., 50: 183-238] are found to include several redundant rules. We also present herein a survey and a comparison of the quantitative aspects of the optimum-time synchronization algorithms developed thus far for one-dimensional cellular arrays." @default.
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- W2014876070 date "2002-01-01" @default.
- W2014876070 modified "2023-09-22" @default.
- W2014876070 title "An Investigation into Transition Rule Sets for Optimum-time Firing Squad Synchronization Algorithms on One-dimensional Cellular Automata" @default.
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- W2014876070 doi "https://doi.org/10.4036/iis.2002.207" @default.
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