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Equation 4 · Part 3 · Tool Protocols in 2035: Two Axes, Four Scenarios, and What Would Falsify Them

Symbol epsilon_max

Trust(s)={certified,ϵ^(s)≤ϵmax⁡ and ϵ^(s) independently auditedunverified,otherwise\text{Trust}(s) = \begin{cases} \text{certified}, & \hat\epsilon(s) \le \epsilon_{\max} \ \text{and} \ \hat\epsilon(s) \ \text{independently audited} \\ \text{unverified}, & \text{otherwise} \end{cases}
ϵmax⁡\epsilon_{\max}

What this part means

epsilonmn_max appears in the objective or constraint used by the optimization on the right.

Its job in the formula

epsilonmn_max appears in the objective or constraint used by the optimization on the right.

The passage around this formula

…listing decision as a threshold rule. Let ϵ^(s)\hat\epsilon(s) be an estimate of the probability that a listed tool or server s behaves differently from what its description claims once it is actually invoked, and let ϵmax⁡\epsilon_{\max} be the error tolerance a registry operator or a downstream client is willing to accept. A defensible rule is Trust(s)={certified,ϵ^(s)≤ϵmax⁡ and ϵ^(s) independently auditedunverified,otherwise\text{Trust}(s) = \begin{cases} \text{certified}, & \hat\epsilon(s) \le \epsilon_{\max} \ \text{and} \ \hat\epsilon(s) \ \text{independently audited} \\ \text{unverified}, & \text{otherwise} \end{cases}. Both clauses have to hold. The MCPTox and Parasites-in-the-Toolchain results are, in effect, unaudited-but-measured estimates of ϵ^(s)\hat\epsilon(s) for…

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