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Equation 10 · Part 4 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

Symbol g

Aexcess=Ag∖Au(g,s),A_{\mathrm{excess}}=A_g\setminus A_u(g,s),
gg

What this part means

g is an input to the expression that computes the quantity on the left.

Its job in the formula

g is an input to the expression that computes the quantity on the left.

The passage around this formula

Let user-intended authority be AuA_u and agent-held authority be AgA_g . The dangerous excess is Aexcess=Ag∖Au(g,s)A_{\mathrm{excess}}=A_g\setminus A_u(g,s). where intended authority depends on goal g and state s , not merely user identity.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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