Abstract | ||
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We study the computational complexity of several problems with the evolution of configurations on finite cellular automata. In many cases, the problems turn out to be complete in their respective classes. For example, the problem of deciding whether a configuration has a predecessor is shown to be NLOG-complete for one-dimensional cellular automata. The problem is NP-complete for all dimensions higher than one. Similarly, the question whether a target configuration occurs in the orbit of a source configuration may be P-complete, NP-complete or PSPACE-complete, depending on the type of cellular automaton. |
Year | DOI | Venue |
---|---|---|
1995 | 10.1006/jcss.1995.1009 | J. Comput. Syst. Sci. |
Keywords | Field | DocType |
finite cellular automaton,computational complexity,cellular automata,cellular automaton | Discrete mathematics,Cellular automaton,Combinatorics,Continuous automaton,Nondeterministic finite automaton,Continuous spatial automaton,Mobile automaton,Reversible cellular automaton,Block cellular automaton,Stochastic cellular automaton,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 1 | Journal of Computer and System Sciences |
Citations | PageRank | References |
36 | 2.03 | 4 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Klaus Sutner | 1 | 119 | 19.42 |