Zusammenfassung
It is difficult to program cellular automata. This is
especially true when the desired computation requires
global communication and global integration of
information across great distances in the cellular
space. Various human- written algorithms have appeared
in the past two decades for the vexatious majority
classification task for one-dimensional two-state
cellular automata. This paper describes how genetic
programming with automatically defined functions
evolved a rule for this task with an accuracy of
82.326%. This level of accuracy exceeds that of the
original 1978 Gacs-Kurdyumov-Levin (GKL) rule, all
other known human-written rules, and all other known
rules produced by automated methods. The rule evolved
by genetic programming is qualitatively different from
all previous rules in that it employs a larger and more
intricate repertoire of domains and particles to
represent and communicate information across the
cellular space.
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