Symbol c_t
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The growth is monotonic and the response is a threshold rule, which is worth writing down because it is the one piece of real mechanism in this section rather than product description. Treat || as the token size of the context at step t and as the model’s context limit. Compaction is triggered once accumulated context crosses a configurable fraction of that limit:
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Equation 13 · AI Agents & Systems
Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
The growth is monotonic and the response is a threshold rule, which is worth writing down because it is the one piece of real mechanism in this section rather than product description. Treat || as the token size of the context at step t and as the model’s context limit. Compaction is triggered once accumulated context crosses a configurable fraction of that limit:
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