Envisioning information
The sciences of the artificial (3rd ed.)
The sciences of the artificial (3rd ed.)
Open problems in artificial life
Artificial Life - Special issue on the Artificial Life VII: looking backward, looking forward
Information, Randomness and Incompleteness
Information, Randomness and Incompleteness
Recursive Universe: Cosmic Consequences and the Limits of Scientific Knowledge
Recursive Universe: Cosmic Consequences and the Limits of Scientific Knowledge
Artificial chemistries—a review
Artificial Life
Artificial Life
Defense of the ansatz for dynamical hierarchies
Artificial Life
Defense of the ansatz for dynamical hierarchies
Artificial Life
Artificial Life
Levels of Description: A Novel Approach to Dynamical Hierarchies
Artificial Life
Self-organized middle-out abstraction
IWSOS'11 Proceedings of the 5th international conference on Self-organizing systems
Dynamical hierarchies guest editors' introduction
Artificial Life
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This paper addresses the open problem of assembling multi-levelled hierarchical structure. It presents a model of an infinitely-levelled, self-assembling dynamical hierarchy that arises from the interaction of geometric primary elements with a fixed complexity. A formal description of the presented hierarchy is derived. This quantifies the relative compression achieved by describing the system in terms of components of different organization. The relationship between properties of representations and those of physical objects is then discussed to support the view that at each level in the hierarchy presented, the components exhibit emergent properties not possessed by those at the levels below. It is concluded that these new properties are trivial and that such infinitely-levelled structures may be constructed easily. However, since the definition of the problem in the literature admits such trivial possibilities, more specific definitions are required.