An upper bound on the number of states for a strongly universal hyperbolic cellular automaton on the pentagrid
arXiv:1006.3451
Abstract
In this paper, following the way opened by a previous paper deposited on arXiv, we give an upper bound to the number of states for a hyperbolic cellular automaton in the pentagrid. Indeed, we prove that there is a hyperbolic cellular automaton which is rotation invariant and whose halting problem is undecidable and which has 9~states.
17 pages, 9 figures