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Equation 10 · Reliable AI Agents Are Control Systems, Not Chatbots

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nn

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the number of dependent stages. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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nn

Symbol n

the number of dependent stages.

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Single-turn model quality can hide long-horizon fragility. Suppose a task has n dependent stages and each stage succeeds with conditional probability pip_i given that all previous stages succeeded. Then

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