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Published equation contexts

V(sT,g)V(s_T,g)

Why this formula appears here

where sts_t is environmental state, oto_t the agent’s observation, and ata_t its action. Task success is not a property of the final message. It is an externally evaluated predicate V(sTs_T,g) over final state and goal g . System reliability under task distribution D is

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VV

Symbol V

V 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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sTs_T

Symbol s_T

sTs_T 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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gg

Symbol g

g 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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V(sT,g)V(s_T,g)

Equation 5 · AI Agents & Systems

Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex

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

where sts_t is environmental state, oto_t the agent’s observation, and ata_t its action. Task success is not a property of the final message. It is an externally evaluated predicate V(sTs_T,g) over final state and goal g . System reliability under task distribution D is

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