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Chapter 15 — Applications
Applications of RelationWorld theory to physics, topology, and combinatorics.
Ontology Neural Network and ORTSF: A Framework for Topological Reasoning and Delay-Robust Control
The advancement of autonomous robotic systems has led to significant capabilities in perception, localization, mapping, and control, yet a critical challenge re
An Axiomatic Framework for Understanding Relations via Gauge-Invariant Cohomology
What does it mean for something to exist within a web of relations? We answer this question by developing a rigorous mathematical framework in which existence e
Ontology Neural Networks for Topologically Conditioned Constraint Satisfaction
Neuro-symbolic reasoning systems face fundamental challenges in maintaining semantic coherence while satisfying physical and logical constraints. Building upon