Equation 42 · Part 7 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

multiplication

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

multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

Full expressionmultiplicationArticle 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

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

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Sources cited in the article section

[2] Introducing Codex ↗

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