Equation 7 · Claude Code, From First Principles: The Agentic Loop, Permissions, and What Actually Executes
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Symbol a_t
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subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
Claude Code executes — subject to a permission check described in the next section — against the real filesystem, shell, or network, producing an observation : a diff applied, a command’s stdout and exit code, a search result. That observation is appended to the context for the next step:
Sources cited in the article section
- [2] How Claude Code works ↗
- [11] Dive into Claude Code: The Design Space of Today's and Future AI Agent Systems ↗
These citations give research context. Read each source to check which claims it supports.