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This preprint presents Rei, a computational system proving mutual independence of its axioms, indicating its robustness.
Preprint. We present Rei, a computational system founded on exactly four axioms: Center-Periphery (A1), Extension-Reduction (A2), Sigma Accumulation (A3), and Genesis Phase Transition (A4). We prove mutual independence by constructing counter-models, derive fifteen core theorems, and validate the system with 1,689 passing tests. Open-source implementation: https://github.com/fc0web/rei-lang
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Nobuki Fujimoto (2026) studied this question.
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