Can I use this for chemistry as well as mathematics?

Yes, the Mathpix integration includes support for extracting SMILES strings from chemical structure images, allowing for verification of chemical data.

What is BDD in the context of mathematics?

Behavior-Driven Development (BDD) for math uses Gherkin (Given/When/Then) to define how a formula should behave or be structured, making mathematical requirements readable for both humans and verification scripts.

Does this skill require external API keys?

Yes, to use the image extraction features, you will need a Mathpix API key configured in your environment variables (MATHPIX_API_KEY).

How does the skill verify algebraic equivalence?

It uses a pattern-matching engine to convert mathematical strings into Abstract Syntax Trees (ASTs), simplifies them into canonical forms, and compares those forms to ensure they are mathematically identical.

Where are the verified formulas stored?

Verified formulas are registered as artifacts in a DuckDB provenance database, which tracks the extraction method, verification scenario, and timestamp.

BDD Mathematical Verification

Name: BDD Mathematical Verification
Author: plurigrid

byplurigrid

•

Security & Testing

Verifies mathematical formulas and expressions using Behavior-Driven Development workflows and automated LaTeX extraction.

This skill streamlines the validation of mathematical content by combining Gherkin specifications with RSpec execution. It allows developers and researchers to define mathematical requirements in plain language, extract formulas from images using Mathpix, and verify algebraic equivalence through syntax-tree pattern matching. By treating formulas as testable code artifacts, it ensures that complex calculations, polynomial expansions, and notation standards remain consistent and accurate throughout the development lifecycle, complete with artifact registration and provenance tracking.

Key Features

01Automated LaTeX extraction from images and PDFs via Mathpix integration

022 GitHub stars

03Gherkin-based Gherkin specifications for readable mathematical requirements

04Artifact provenance tracking with deterministic GaySeed color-coding and DuckDB storage

05Syntax-tree pattern matching for structural formula and coefficient validation

06Custom RSpec matchers for algebraic equivalence and expanded/factored form checking

Use Cases

01Automating the verification of complex binomial expansions and polynomial factoring

02Ensuring algebraic consistency across scientific software and technical specifications

03Digitizing printed mathematical documentation into verified, testable code artifacts

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi bdd-mathematical-verification

For use in Claude.ai and ChatGPT

Key Features

01Automated LaTeX extraction from images and PDFs via Mathpix integration

022 GitHub stars

03Gherkin-based Gherkin specifications for readable mathematical requirements

04Artifact provenance tracking with deterministic GaySeed color-coding and DuckDB storage

05Syntax-tree pattern matching for structural formula and coefficient validation

06Custom RSpec matchers for algebraic equivalence and expanded/factored form checking

Use Cases

01Automating the verification of complex binomial expansions and polynomial factoring

02Ensuring algebraic consistency across scientific software and technical specifications

03Digitizing printed mathematical documentation into verified, testable code artifacts