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Equation 13 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

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ii

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the if workers. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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ii

Symbol i

the if workers.

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Race risk grows with shared mutable resources. If workers i and j each have mutation set WiW_i and WjW_j , then filesystem isolation addresses WifilesW_i^{\mathrm{files}}∩\cap WjfilesW_j^{\mathrm{files}} but not intersections across external services.

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