Library / First Principles Framework (FPF) - Core Conceptual Specification
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A.3.3:10 - Rationale

The needed prediction determines which state distinctions have to remain recoverable. The transition law expresses how those distinctions evolve, while the observation relation says which part of that state the available measurements reveal. Keeping these contributions explicit makes both successful prediction and a failure caused by lost information explainable, across different domain laws.