| Article Id: |
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hal-00451732, version 2 |
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| Subject: |
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Computer Science/Other
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| Title: |
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Bulking I: an Abstract Theory of Bulking |
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| Author(s): |
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Marianne Delorme1, Jacques Mazoyer1, Nicolas Ollinger2, Guillaume Theyssier3 |
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| Laboratory: |
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| 1: |
LIP - Laboratoire de l'Informatique du Parallélisme |
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LIF - Laboratoire d'informatique Fondamentale de Marseille |
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| 3: |
LAMA - Laboratoire de Mathématiques |
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| Abstract: |
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This paper is the first part of a serie of two papers dealing with bulking: a quasiorder on cellular automata comparing space-time diagrams up to some rescaling. Bulking is a generalization of grouping taking into account universality phenomena, giving rise to a maximal equivalence class. In the present paper, we discuss the proper components of grouping and study the most general extensions. We identify the most general space-time transforms and give an axiomatization of bulking quasiorder. Finally, we study some properties of intrinsically universal cellular automata obtained by comparing grouping to bulking. |
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| Fulltext language: |
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English |
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| Keyword(s): |
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cellular automata – bulking – grouping – classification |
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