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Equation 45 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex

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ϵ\epsilon

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ϵ\epsilon

Symbol epsilon

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For consequential work, “be careful” is not a stopping rule. Let the maximum tolerable probability of material failure be ϵ\epsilon . A conservative decomposition assigns budgets ϵi\epsilon_i to failure classes or transitions such that

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