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Equation 20 · Part 2 · The Hardest Unsolved Problems in AI Agent Evaluation and Reliability

superscript

k^k
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

One. Major agentic benchmark leaderboards will begin reporting a repeated-trial statistic (a pass ^k -style figure or equivalent) alongside single-attempt accuracy as a default, not an optional addendum. Disconfirmed if the leading agentic leaderboards in 2030 still report only single-attempt success rates with no standard reliability figure alongside them.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

Open the illustrated exponents: repeated multiplication and powers guide →

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