We give a complete answer to the question whether a double sequence that is generated by a one-dimensional linear cellular automaton, and whose states are integers modulo m, is k-automatic or not.
โฆ LIBER โฆ
Simulation of one-dimensional cellular automata by uniquely parallel parsable grammars
โ Scribed by Jia Lee; Katsunobu Imai; Kenichi Morita
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 260 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0304-3975
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โฆ Synopsis
A uniquely parsable grammar (UPG) introduced by Morita et al. (Acta Inform. 34 (1997) ) is a special kind of generative grammar where parsing can be performed without backtracking. By extending a UPG, a uniquely parallel parsable grammar (UPPG) was proposed and its unique parallel parsability has been investigated. In this paper, we show any one-dimensional cellular automaton, as a parallel language recognition device, can be simply simulated by a parallel reduction in an equivalent UPPG.
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