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mechanism-derivation - Derive formalisms and architectures with stress-testing

Derives formalisms, architectures, learning rules, or algorithms by forcing components through constraints and stress-testing them.

Tags

Updated: 2026-09-24

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Derive functional forms from constraints
  • Construct global objectives from local terms
  • Trace inputs end-to-end through systems
  • Probe internal units for representations
  • Analyze capacity and interference limits
  • Extract falsifiable predictions about systems

Inputs

  • Model equations and architectures
  • Problem constraints
  • Data distributions

Outputs

  • Derived mathematical formalisms
  • Stress-test evaluation results
  • Falsifiable system predictions

Requirements

    Source

    • Spec: SKILL.md
    mechanism-derivation
    architecture-design
    mathematical-derivation
    model-analysis
    stress-testing
    Derive functional forms from constraints
    Construct global objectives from local terms
    Trace inputs end-to-end through systems
    Probe internal units for representations
    Model equations and architectures
    Problem constraints
    Data distributions
    Derived mathematical formalisms
    Stress-test evaluation results
    Falsifiable system predictions