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v2 (2010-09-27)

Bulking I: an Abstract Theory of Bulking

Marianne Delorme 1, Jacques Mazoyer 1, Nicolas Ollinger (  Corresponding author ) 2, Guillaume Theyssier 3

(2010-01-29)

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.

1:	Laboratoire de l'Informatique du Parallélisme (LIP)
	Université de Lyon – CNRS : UMR5668 – INRIA – École Normale Supérieure - Lyon – Université Claude Bernard - Lyon I
2:	Laboratoire d'informatique Fondamentale de Marseille (LIF)
	CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I
3:	Laboratoire de Mathématiques (LAMA)
	CNRS : UMR5127 – Université de Savoie

Subject

:

Computer Science/Other

Keyword(s): cellular automata – bulking – grouping – classification

hal-00451732, version 2

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From: Nicolas Ollinger <>

Submitted on: Friday, 24 September 2010 22:13:38

Updated on: Monday, 27 September 2010 08:06:28