Parity Problem With A Cellular Automaton Solution
نویسندگان
چکیده
The parity of a bit string of length N is a global quantity that can be efficiently computed using a global counter in O(N) time. But is it possible to find the parity using cellular automata with a set of local rule tables without using any global counter? Here, we report a way to solve this problem using a number of r=1 binary, uniform, parallel, and deterministic cellular automata applied in succession for a total of O(N2) time.
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ar X iv : n lin . C G / 0 10 20 26 v 2 3 M ay 2 00 1 Parity Problem With A Cellular Automaton Solution
The parity of a bit string of length N is a global quantity that can be efficiently compute using a global counter in O(N) time. But is it possible to find the parity using cellular automata with a set of local rule tables without using any global counter? Here, we report a way to solve this problem using a number of r = 1 binary, uniform, parallel and deterministic cellular automata applied in...
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 64 2 Pt 2 شماره
صفحات -
تاریخ انتشار 2001