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| | Alvy Ray Smith Cellular Automata Papers |
 | | The class of pattern sets accepted by cellular automata (CA, finite, connected subsets of cells in a 2-dimensional cellular space) is shown to be precisely the class of languages generated by the monotonic array grammars, a generalization of context-sensitive grammars to the 2-dimensional integer grid. |
 | | It was originally written as the introduction to the German edition of Theory of Self-Reproducing Automata, by John von Neumann, edited (posthumously) by Arthur W Burks, University of Illinois Press, Urbana, 1968. |
 | | A collection of n finite, identical automata are considered, where each one, at each unit time step, takes a new state as a function of the state taken at the preceding step by itself and by certain other automata in the collection, called its neighbors, arbitrarily chosen, but limited in number. |
| alvyray.com /Papers/PapersCA.htm (1730 words) |
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