aris-formula-derivation

Structures scattered research notes into coherent mathematical derivation packages with explicit assumptions.

1.1k|116|Updated Feb 26, 2026
One-click install
npx skills add https://github.com/OpenLAIR/dr-claw --skill aris-formula-derivation
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: aris-formula-derivation
Source: https://github.com/OpenLAIR/dr-claw/tree/main/skills/aris-formula-derivation
Command: npx skills add https://github.com/OpenLAIR/dr-claw --skill aris-formula-derivation

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Researchers often have scattered formulas, messy notes, and half-finished theory lines that do not yet form a coherent derivation. This Skill organizes that material into a structured derivation package with a fixed target, a stable invariant object, normalized assumptions and notation, and honestly labeled steps, or reports exactly why coherence is not yet possible.

Core Features & Use Cases

  • Derivation Structuring: Freezes the derivation target, chooses an invariant organizing object, and normalizes assumptions and notation before any symbolic manipulation.
  • Step Classification: Labels every nontrivial step as identity, proposition, approximation, or interpretation so heuristic reasoning is never presented as proof.
  • Honest Status Reporting: Outputs one of three statuses (COHERENT AS STATED, COHERENT AFTER REFRAMING, NOT YET COHERENT) and writes a blocker report instead of fabricating a clean story.
  • Use Case: A graduate student has several pages of formula sketches for a theory section but no clear main line. The Skill produces a DERIVATION_PACKAGE.md with target, assumptions, derivation map, main steps, boundaries, and open risks, ready to be refined into a paper-ready theory draft.

Quick Start

Ask the assistant to turn your current formula notes into a coherent derivation package, for example: help me organize these theory notes into a derivation for the effective cost formula.

Frequently Asked Questions about aris-formula-derivation

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I turn messy formula notes into a coherent derivation?

Provide your current formulas, notes, or draft as input. The Skill freezes the target, picks an invariant organizing object, normalizes assumptions and notation, then writes a structured derivation package with a derivation map and labeled steps.

What is the difference between formula derivation and proof writing?

Formula derivation organizes the theory line when the target, object, or assumptions are still unsettled. Proof writing with aris-proof-writer comes afterward, once the exact claim, stable assumptions, and settled notation are fixed and the task is rigorous proof or refutation.

What output file does the derivation skill produce?

It writes a Markdown derivation package, defaulting to DERIVATION_PACKAGE.md in the project root unless you specify another file. It does not write directly into paper or appendix .tex files unless explicitly requested.

What happens if my notes cannot support a coherent derivation?

The Skill marks the status as NOT YET COHERENT and writes a blocker report identifying the exact problem, such as a missing object, unstable assumptions, or unsupported approximation, plus what reframe or extra assumption would be needed.

Does the derivation package distinguish approximations from exact steps?

Yes. Every nontrivial step is classified as identity, proposition, approximation, or interpretation, and approximations are marked explicitly so heuristic reasoning is never presented as proved mathematics.