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Details for article 5 of 6 found articles
| Title: |
The Injectivity of the Global Function of a Cellular Automaton in the Hyperbolic Plane is Undecidable |
| Author: |
Margenstern, Maurice |
| Appeared in: |
Fundamenta informaticae |
| Paging: | Volume 94 (2009) nr. 1 pages 63-99 |
| Year: |
2009-08-19 |
| Contents: |
In this paper, we look at the following question. We consider cellular automata in the hyperbolic plane, see [6, 22, 9, 12] and we consider the global function defined on all possible configurations. Is the injectivity of this function undecidable? The problem was answered positively in the case of the Euclidean plane by Jarkko Kari, in 1994, see [4]. In the present paper, we show that the answer is also positive for the hyperbolic plane: the problem is undecidable. |
| Publisher: |
IOS Press |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 6 found articles
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