Machine-Native ReasoningReading edition

11. Preserving an ending strategy under safe continuation

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A system may remain within a declared safe region indefinitely and still lose every way to end its operation. Conversely, an authorized ending procedure may exist at the present state but become unavailable after the next ordinary action. These are distinct requirements. The relevant mathematical object is therefore not a safety invariant alone, but a safe-running region entirely contained in a sure-ending region.