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Equation 16 · Comparing the Main Approaches to AI Agent Architecture

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v∈Vv \in V

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vv

Symbol v

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VV

Symbol V

either a deterministic function or an invocation of some policy πv\pi_v.

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where each node v ∈\in V is either a deterministic function or an invocation of some policy πv\pi_v , and γ\gamma is an explicit gate on the edge — a test, a validation check, or a human approval — that must pass before the transition is permitted. That is the structural reason human approval is a first-class primitive in this pattern rather than a wrapper bolted around it from outside: approval is just one kind of γ\gamma , attached to one particular edge, rather than a blanket condition on the whole run.

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