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Equation 2 · Part 4 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

=

Risk⁡(a)=P(unsafe proposal)⋅P(authorization∣proposal)⋅P(escape detection)⋅L(a),\operatorname{Risk}(a)= P(\text{unsafe proposal}) \cdot P(\text{authorization}\mid\text{proposal}) \cdot P(\text{escape detection}) \cdot L(a),
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

The risk of an action a is not reducible to model error probability. A simple decomposition is Risk⁡(a)=P(unsafe proposal)⋅P(authorization∣proposal)⋅P(escape detection)⋅L(a)\operatorname{Risk}(a)= P(\text{unsafe proposal}) \cdot P(\text{authorization}\mid\text{proposal}) \cdot P(\text{escape detection}) \cdot L(a). where L(a) is consequence. Better models can reduce the first factor. Sandboxes, permission policy, independent evaluators, and staged execution reduce the others. Security architecture should assume every factor is nonzero.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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