Equation 42 · Part 1 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

Symbol s

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

s

What this part means

s is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

s is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Full expressionSymbol sArticle meaning

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 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

[2] Introducing Codex ↗

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