Equation 19 · Comparing the Main Approaches to AI Agent Architecture
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an explicit gate on the edge — a test, a validation check, or a human approval — that must pass before the transition is permitted. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol gamma
an explicit gate on the edge — a test, a validation check, or a human approval — that must pass before the transition is permitted.
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where each node v V is either a deterministic function or an invocation of some policy , and 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 , attached to one particular edge, rather than a blanket condition on the whole run.
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