Published equation contexts
Why this formula appears here
where is the model policy at time t ; is the harness and its context/state machinery; is the available tool set; is the permission and sandbox policy; is the execution environment; is the collection of verification functions; and represents user and institutional authority. The time index is essential. OpenAI can update the model, CLI, documentation, or cloud runtime without changing the product name.
Read the representative guide
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 5 · 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.
where is the model policy at time t ; is the harness and its context/state machinery; is the available tool set; is the permission and sandbox policy; is the execution environment; is the collection of verification functions; and represents user and institutional authority. The time index is essential. OpenAI can update the model, CLI, documentation, or cloud runtime without changing the product name.