Problem Statement
Given a configuration of a two-state cellular automata with i + j cells total, i of which are in the zero state and j of which are in the one state, a correct solution to the voting problem must eventually set all cells to zero if i > j and must eventually set all cells to one if i < j. The desired eventual state is unspecified if i = j.
The problem can also be generalized to testing whether the proportion of zeros and ones is above or below some threshold other than 50%. In this generalization, one is also given a threshold ; a correct solution to the voting problem must eventually set all cells to zero if and must eventually set all cells to one if . The desired eventual state is unspecified if .
Read more about this topic: Majority Problem (cellular Automaton)
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