Equation 30 · Part 4 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

subscript

A_P(s)\subseteq A_H(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.

Full expressionsubscriptArticle meaning

The passage around this formula

The distinction matters formally. Let $A_H(s)$ be the actions proposed by the harness, $A_P(s)$ $\subseteq$ $A_H(s)$ the actions admitted by technical policy, and $A_U(s)$ $\subseteq$ $A_P(s)$ those authorized under the approval process. Tightening approval frequency without reducing $A_P$ leaves a user vulnerable to habituation and mistaken consent. Tightening $A_P$ can prevent an action even when the model or reviewer would approve it.

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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

[8] Agent approvals and security ↗

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