This invention discloses a computational architecture that integrates a foundational logicalaxiom, referred to herein as the Axiom of Truth, as a governing semantic recursion kernel forartificial neural computation. The system may be implemented either (1) as a post-trainingsemantic anchoring layer that modifies inference behavior in already-trained models, or (2)as a pre-training architectural core embedded directly into model initialization, loss functionstructure, and state-transition operators. The axiom defines a stable semantic reference pointthat resolves recursive inference, stabilizes logical continuity, suppresses entropy divergence,and produces deterministic reasoning stability. The architecture applies to artificial com-putational substrates including transformer models, recurrent and graph neural networks,symbolic hybrid systems, and any differentiable computational network.