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Laboratoire d'informatique fondamentale de Marseille UMR 6166 - CNRS, Université de la Méditerranée, Université de Provence |
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Laboratoire d'informatique fondamentale de Marseille UMR 6166 - CNRS, Université de la Méditerranée, Université de Provence |
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| HAL: hal-00469841, version 2 |
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| Available versions: | v1 (2010-04-02) | v2 (2010-08-17) |
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| Four states are enough! |
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| Nicolas Ollinger 1Gaétan Richard 1, 2 |
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| (2010-04-02) |
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| This paper presents a 1D intrinsically universal cellular automaton with four states for a first neighbors neighborhood, improving on the previous lower bound and getting nearer to the Turing universality bound. Intrinsic universality is discussed. Construction and proof rely on a combination of bulking techniques with programming using particles and collisions. |
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| 1: | Laboratoire d'informatique Fondamentale de Marseille (LIF) |
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CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I |
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| 2: | Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen (GREYC) |
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CNRS : UMR6072 – Université de Caen Basse-Normandie – Ecole Nationale Supérieure d'Ingénieurs de Caen |
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| amacc |
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| Subject | : | Computer Science/Other |
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| Cellular automata – intrinsic universality – bulking – particles and collisions |
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| hal-00469841, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00469841 | |
| oai:hal.archives-ouvertes.fr:hal-00469841 | |
| From: Gaétan Richard | |
| Submitted on: Tuesday, 17 August 2010 11:37:54 | |
| Updated on: Monday, 27 May 2013 12:06:06 | |
