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Equation 10 · Part 7 · Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion

subscript

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

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.