AAAI Publications, 2010 AAAI Fall Symposium Series

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The "Logic" of Self-Organizing Systems
Peter Marcer, Peter Rowlands

Last modified: 2010-11-01

Abstract


A totally new computational grammatical structure has been developed which encompasses the general class of self-organizing systems. It is based on a universal rewrite system and the principle of nilpotency, where a system and its environment have a space-time variation defined by the phase, which preserves the dual mirror-image relationship between the two. As briefly summarized in the paper, there is already substantial and hard evidence in favour of the application of this universal rewrite approach to quantum physics. Further applications in diverse fields suggest that, while the relationship between a self-organized system and its environment must be fully understood in quantum physical computational terms rather than digital ones, a new discrete approach to this quantum mechanical understanding can be described, which extends beyond the purely quantum range. It offers a new calculational means, within existing digital computational technology, to approach and validate the workings of self-organized systems, and may well encompass related but different computational methods used by other workers.

Keywords


logic; self-organizing; nilpotent; universal rewrite

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