The Λ-System as a Premise-Update OS: A Unified Framework for Future-Convergent Decision Systems

This paper introduces the Λ-System, a theoretical framework defining a Premise-Update Operating System for decision-making across multiple domains, including artificial intelligence, education, governance, and economic systems. Modern high-bandwidth societies increasingly face a structural problem in which the growth of information does not lead to improved understanding but instead produces fragmentation and semantic overload. Existing decision frameworks largely optimize within fixed premises and rely on evaluation-based mechanisms that constrain exploratory reasoning and adaptive learning. The proposed Λ-System addresses this limitation by formalizing a Premise-Update OS, a system architecture designed to enable continuous updating of decision premises while maintaining accountability for externally irreversible actions. The framework integrates several key constructs: • Future Fixed Points (F*) Decision systems are constrained not only by past states but by convergence toward future structural attractors. • Semantic Density (ρₛ) A measure of the convergence strength of semantic fields toward future fixed points, representing the structural coherence of meaning rather than information quantity. • Reprojection Logs (R) Records of internal structural updates capturing premise transformations without evaluative scoring. • Irreversible Logs (I) and Externalization Points Responsibility is attached only to actions that produce irreversible external consequences. • Non-Evaluative Question Axiom Questions are excluded from scoring or ranking to preserve the freedom of premise exploration. • World OS / Personal OS Interaction A two-layer system in which global candidate generation interacts with locally updated decision premises. This architecture yields a unified operational structure applicable across domains through a Domain Lift mapping, allowing the same premise-update mechanism to function within AI systems, educational environments, governance processes, and economic coordination. The paper argues that in high-bandwidth civilizations where semantic criticality becomes inevitable, decision systems must transition from information optimization frameworks to future-convergent premise-update systems. The Λ-System thus provides a conceptual foundation for what may be called a civilizational decision operating system, capable of integrating meaning, responsibility, and adaptive premise updating within complex socio-technical systems. https://arweave.net/q6BWBSbomb_rRR9yhfWX2B438249R07Ui7aYeygjfj0 https://arweave.net/hemimImbOdokMAULj_RVXUagVw14vfHLYxrGd4444K8