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Equation 16 · Part 1 · Reliable AI Agents Are Control Systems, Not Chatbots

Symbol k

passk\mathrm{pass}^k
kk

What this part means

k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The empirical warning appears in agent benchmarks. SWE-bench constructs software tasks from real GitHub issues and associated code changes, forcing systems to coordinate edits across repositories rather than complete isolated snippets [ 9 ] . Its scores are informative, but they remain conditional on a particular harness, task filtering, test infrastructure, and contamination controls. The τ\tau -bench work goes further by evaluating tool-using agents against domain rules and final database states. In its reported experiments, leading function-calling agents completed fewer than half of tasks, and consistency over repeated trials deteriorated sharply; the proposed passk\mathrm{pass}^k perspective…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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