Inversion of 2D cellular automata: some complexity results
โ Scribed by B. Durand
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 1021 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0304-3975
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๐ SIMILAR VOLUMES
We study the computational complexity of several problems with the evolution of configurations on finite cellular automata. In many cases, the problems turn out to be complete in their respective classes. For example, the problem of deciding whether a configuration has a predecessor is shown to be N
## Abstract In this paper we give a new proof of Richardson's theorem [31]: a global function __G__~๐ธ~ of a cellular automaton ๐ธ is injective if and only if the inverse of __G__~๐ธ~ is a global function of a cellular automaton. Moreover, we show a way how to construct the inverse cellular automaton