On the Complexity of the “Most General” Firing Squad Synchronization Problem

Author(s):  
Darin Goldstein ◽  
Kojiro Kobayashi
2014 ◽  
Vol 114 (1-2) ◽  
pp. 60-65
Author(s):  
Kazuya Yamashita ◽  
Yasuaki Nishitani ◽  
Sadaki Hirose ◽  
Satoshi Okawa ◽  
Nobuyasu Osato

1995 ◽  
Vol 05 (03) ◽  
pp. 289-308 ◽  
Author(s):  
JACQUES MAZOYER

The Firing Squad Synchronization Problem with non uniform delays was recently solved by T. Jiang. In this paper, we study a very particular case: the synchronization of two finite automata. Two finite automata communicates, but the delay of communication is great in comparison with the duration of a state transition. We show that there exist solutions in time 2Δ(⌈ log m Δ⌉)+Δ (for any natural m). This implies that there does not exist an optimal solution (in the sense of K. Kobayashi) to the Firing Squad with non uniform delays. We show also that if the communication between the two automata are not symmetric the synchronization cannot be obtained.


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