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About this paper
Fernando Paredes García
Fernando Paredes García, an Independent Researcher, introduces an axiomatic framework for comparing diverse shared-medium coordination systems based on stigmergy. This framework provides theorem-bearing conditions for when metadata can be abstracted or refined while preserving coordination behavior, and it constructs canonical "repairs" that define the minimal information needed when direct abstraction is not possible.
Key insights
- The "abstract enabled-response signature" (E*S(m)) is a central, medium-agnostic object for comparing diverse stigmergic coordination behaviors.
- A coarser medium can be response-adequate for a refined system if and only if every fiber of the projection map is "response-aligned," meaning states within a fiber yield identical abstract response signatures.
- Specific types of hidden metadata, such as timestamps in "freshness-conditional" actions, can inherently prevent uniform abstraction, thus requiring explicit "repairs" to capture the coordination logic effectively.
Summary by alphaXiv.
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