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Equation 16 · Part 2 · OpenAI Codex as a Software-Engineering System: Models, Harnesses, and Evidence

Symbol Omega_H

ok∼ΩH(o∣sk,qk,bk),o_k \sim \Omega_H(o\mid s_k, q_k, b_k),
ΩH\Omega_H

What this part means

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

Its job in the formula

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

The passage around this formula

Let sks_k be the relevant but incompletely observed repository state. The harness emits ok∼ΩH(o∣sk,qk,bk)o_k \sim \Omega_H(o\mid s_k, q_k, b_k). where qkq_k is the model’s query or action and bkb_k is a context budget. Two agents using the same model can behave differently because their observation functions ΩH\Omega_H expose different facts, truncate different histories, or describe tools differently.

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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