mathematical-testing

Generate failing test suites for mathematical algorithms from peer-reviewed sources.

1|Updated Feb 24, 2026
One-click install
npx skills add https://github.com/dzackgarza/ai --skill mathematical-testing
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: mathematical-testing
Source: https://github.com/dzackgarza/ai/tree/main/opencode/skills/mathematical-testing
Command: npx skills add https://github.com/dzackgarza/ai --skill mathematical-testing

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Automates comprehensive failing-test suite creation for mathematical algorithms to enforce correctness from the outset.

Core Features & Use Cases

  • Research-driven test generation: converts mathematical theorems into exact, executable tests with precise values and relationships.
  • Multi-source validation: cross-checks facts across multiple authoritative references to ensure accuracy.
  • Aggressive TDD enforcement: writes failing tests first to block progress until implementations prove correctness.

Quick Start

Provide a comprehensive failing-test suite for a given mathematical task before implementing any solution.

Frequently Asked Questions about mathematical-testing

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

FAQPage Schema
How do I generate failing test suites for mathematical algorithms?

You generate failing test suites for mathematical algorithms by converting peer-reviewed theorems into exact, executable test assertions before implementing any solution. This enforces test-driven development by blocking progress until correctness is proven.

What is research-driven test generation for formal verification?

Research-driven test generation for formal verification cross-checks mathematical facts across multiple authoritative references to validate assertions. It converts established theorems into precise test cases with exact arithmetic values and multi-path verification.

How do I enforce TDD when developing mathematical research code?

You enforce TDD in mathematical research code by writing aggressive failing tests first, ensuring no implementation progresses until it satisfies literature-backed mathematical assertions and detailed failure messages.

Can I cross-reference multiple literature sources to validate mathematical test assertions?

Yes, you can cross-reference multiple authoritative literature sources to validate mathematical test assertions. This multi-source validation ensures exact arithmetic values and relationships are accurate before test cases are executed.

What is the best way to turn mathematical theorems into executable tests?

The best way to turn mathematical theorems into executable tests is automating failing-test suite creation. This translates precise mathematical relationships and exact values from theorems into test cases with detailed failure messages.

Does aggressive TDD for mathematics work without existing implementations?

Yes, aggressive TDD for mathematics is designed to work without existing implementations by generating comprehensive failing test suites from the outset. Tests are derived directly from mathematical facts to guide and block subsequent development.