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Published equation contexts

Ki=1−(1−pi)(1−di)(1−ci)(1−ri)K_i=1-(1-p_i)(1-d_i)(1-c_i)(1-r_i)

Why this formula appears here

For failure mode i , define control coverage Ki=1−(1−pi)(1−di)(1−ci)(1−ri)K_i=1-(1-p_i)(1-d_i)(1-c_i)(1-r_i). where pip_i,did_i,cic_i,rir_i are effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption. The equation should not be used to manufacture precise risk numbers; controls are correlated and measurements sparse. It communicates why a single impressive guardrail cannot justify broad authority.

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pip_i

Symbol p_i

effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.

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did_i

Symbol d_i

effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.

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cic_i

Symbol c_i

effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.

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rir_i

Symbol r_i

effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.

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Published contexts (1)

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Ki=1−(1−pi)(1−di)(1−ci)(1−ri),K_i=1-(1-p_i)(1-d_i)(1-c_i)(1-r_i),

Equation 20 · Security

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

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

For failure mode i , define control coverage Ki=1−(1−pi)(1−di)(1−ci)(1−ri)K_i=1-(1-p_i)(1-d_i)(1-c_i)(1-r_i). where pip_i,did_i,cic_i,rir_i are effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption. The equation should not be used to manufacture precise risk numbers; controls are correlated and measurements sparse. It communicates why a single impressive guardrail cannot justify broad authority.

Meanings in this article

  • pip_i: effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.
  • did_i: effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.
  • cic_i: effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.
  • rir_i: effective prevention, detection, containment, and recovery probabilities under a simplified independence assumption.
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