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Equation 40 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

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v1,…,vmv_1,\dots,v_m

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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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v1v_1

Symbol v_1

v1v_1 is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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vmv_m

Symbol v_m

vmv_m is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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subscript

subscript

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.

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How to interpret it

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What the article says around this equation

Suppose verification functions v1v_1,…\dots,vmv_m each observe a projection of changed state s' . Acceptance is

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Sources cited in the article section

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