B. Voorhees et S. Bradshaw, PREDECESSORS OF CELLULAR-AUTOMATA STATES .3. GARDEN OF EDEN CLASSIFICATION OF CELLULAR-AUTOMATA, Physica. D, 73(1-2), 1994, pp. 152-167
A procedure is given which determines all finite sequences without pre
-images for any one dimensional cellular automata with entries in Z2.
On this basis we determine some properties of such sequences, and clas
sify all three site rules. Categories defined by this classification a
re compared to other phenomenological classifications introduced by Wo
lfram, Gutowitz, and Jen.