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Published equation contexts

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

Why this formula appears here

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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oko_k

Symbol o_k

oko_k 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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ΩH\Omega_H

Symbol Omega_H

OmegaHa_H 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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oo

Symbol o

o 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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Published contexts (1)

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

Equation 16 · AI Agents & Systems

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

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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.

Meanings in this article

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