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The objective is to present the Absolute Resolution Engine as a unified computational reasoning framework that formalizes reasoning processes.

June 20, 2026Open Access

Absolute Resolution Engine: Final Unified 4‑Phase Reasoning Framework and Canonical Equation

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The objective is to present the Absolute Resolution Engine as a unified computational reasoning framework that formalizes reasoning processes.
Developed a 4-phase invariant: Foundation, Structure, Variation, Completion
Designed an accompanying canonical equation for stable reasoning processes
Provided implementation details for integration into AI systems and computational frameworks.
Established a minimal sequence for stable reasoning: E(x) = Completion(Variation(Structure(Foundation(x))))
Integrated discoveries such as the Self-Similarity Law and Superposition Layer for enhanced reasoning capacity
Enabled transparent and auditable reasoning for both human and machine interpretation.

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Final framework documents deterministic reasoning processes in computational systems, highlighting efficient conflict resolution.

Carlo et al. (2026) studied this question.

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