Equation 42 · Part 5 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

Symbol u

\operatorname{accept}(s') = \mathbb{1}\!\left[ \bigwedge_{i=1}^{m} v_i(s')=1 \right] \cdot u(s'),

u

What this part means

required human or institutional authorization.

Its job in the formula

u is one factor in the product that computes the quantity on the left.

Full expressionSymbol uArticle meaning

Where the article explains it

where u(s') represents required human or institutional authorization.

The passage around this formula

Suppose verification functions $v_1$ , $\dots$ , $v_m$ each observe a projection of changed state s' . Acceptance is $\operatorname{accept}(s') = \mathbb{1}\!\left[ \bigwedge_{i=1}^{m} v_i(s')=1 \right] \cdot u(s')$ . where u(s') represents required human or institutional authorization. Even if every $v_i$ passes, the false-accept probability is not zero because the conjunction covers only encoded properties. Correlated checks can repeat the same blind spot.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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See this notation across published equations →

Sources cited in the article section

[2] Introducing Codex ↗

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