Article ID Journal Published Year Pages File Type
421731 Electronic Notes in Theoretical Computer Science 2009 10 Pages PDF
Abstract

The Garden of Eden theorems are well known theorems established by Moore and Myhill in the early sixties connecting injectivity and surjectivity for the global function of cellular automata in the (Euclidean) plane. In this paper, it is shown that the properties established by Moore and Myhill are no more true for cellular automata in the hyperbolic plane.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics