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Equation 13 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

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hkh_k

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the harness state. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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hkh_k

Symbol h_k

the harness state.

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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

At an agent step k , a model receives an observation history o≤ko_{\le k} , task goal g , and harness state hkh_k , then proposes an action:

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Sources cited in the article section

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