Equation 7 · Part 1 · AI Agent Architecture in 2035: Four Scenarios, Their Signals, and What Would Falsify Them
Symbol p
What this part means
p 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
p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol p→Article meaning
The passage around this formula
where B is a risk budget set by policy. The rule only does useful work where p(a) is a number someone can trust — which is exactly what Axis B’s certified branch would supply and its empirical branch would not. Under empirical, best-effort reliability, the closest available substitute for p(a) is a benchmark pass rate like tau-bench’s, which the benchmark’s own authors…
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
Open the illustrated functions: inputs become outputs guide →
See this notation across published equations →
Sources cited in the surrounding passage
- [10] tau-bench: A Benchmark for Tool-Agent-User Interaction in Real-World Domains ↗
- [13] Article 14: Human Oversight — EU Artificial Intelligence Act ↗
These citations provide research context; check each source for the exact claim it supports.