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Equation 5 · Part 1 · AI Agent Architecture in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

Symbol a

Approval(a)={automatic,p(a) S(a)≤Bhuman required,p(a) S(a)>B\text{Approval}(a) = \begin{cases} \text{automatic}, & p(a)\, S(a) \le B \\ \text{human required}, & p(a)\, S(a) > B \end{cases}
aa

What this part means

a is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

a is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

Whether human-approval checkpoints become automated and statistical is, likewise, mostly a readout of Axis B rather than a genuinely separate question. A useful way to see the dependency is to write the automation decision as a threshold rule. Let p(a) be a certified upper bound on the probability that action a violates its specification, and let S(a) be a severity score for the…

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Sources cited in the surrounding passage

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