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NP-Complete Problems in Cellular Automata
Frederic Green
Department of Mathematics and Computer Science, Clark University,
Worcester, MA 01610, USA
Abstract
An example of a cellular automaton (CA) is given in which the following problems are NP-complete: (i) determining if a given subconfiguration can be generated after
time steps, (ii) determining if a given subconfiguration
will recur after
time steps, (iii) determining if a given temporal sequence of states
can be generated in
time steps. It is also found that the CA constructed has an NP-hard limit language.