Equation 14 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence
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Symbol a_k
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol pi_θ
pi_θ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol a
a is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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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What the article says around this equation
At an agent step k , a model receives an observation history , task goal g , and harness state , then proposes an action: . The action might request a file read, search, patch, shell command, test, browser interaction, or delegation. It is not yet an environmental transition. The harness parses the proposal, checks that it matches an available tool schema, applies policy, executes permitted operations, and converts results into the next observation.
Sources cited in the article section
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