formal-invariants

Discover formal invariants and convert system assumptions into verifiable logical rules.

2|Updated Apr 30, 2026
One-click install
npx skills add https://github.com/NlightNFotis/skills --skill formal-invariants
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: formal-invariants
Source: https://github.com/NlightNFotis/skills/tree/main/formal-invariants
Command: npx skills add https://github.com/NlightNFotis/skills --skill formal-invariants

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps you uncover the rules your system must always obey, then turn those rules into assertions, contracts, validations, or tests. It is especially useful when bugs come from invalid state, unclear assumptions, or complex transitions that are hard to reason about informally.

Core Features & Use Cases

  • Invariant discovery: Identifies state, transition, ordering, uniqueness, conservation, security, and temporal properties that should always hold.
  • Precision and verification: Rewrites vague beliefs into falsifiable statements and maps each one to the right enforcement mechanism, such as the type system, runtime assertions, or property-based tests.
  • Targeted engineering use: Supports refactoring, debugging state corruption, reviewing business logic, and hardening protocols, queues, caches, schedulers, permissions, and parsers.
  • Use case: If a job queue occasionally loses work or processes items twice, this Skill helps define exact invariants around queue membership, execution state, cancellation, and ordering so you can catch the failure at the right boundary.

Quick Start

Use the formal-invariants skill to analyze a stateful module and produce a concise invariant report with the highest-value rules to enforce first.

Frequently Asked Questions about formal-invariants

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

FAQPage Schema
How do I find invariants to debug state corruption in complex modules?

To debug state corruption, you find invariants by identifying state, ordering, uniqueness, and conservation properties that must always hold, then converting them into verifiable assertions or property-based tests.

What are formal invariants and when do I need them for software verification?

Formal invariants are logical rules representing system assumptions that must always hold true. You need them for software verification when debugging complex business logic, refactoring critical modules, or hardening protocols and schedulers.

How do I write assertions and property-based tests for queues and caches?

You write assertions by classifying preconditions, postconditions, and representation invariants for queues and caches, then mapping each falsifiable rule to enforcement mechanisms like runtime checks or property-based tests.

What is the best way to enforce temporal guarantees and state machine transitions?

The best way to enforce temporal guarantees and state machine transitions is to rewrite vague beliefs into precise logical rules, then enforce them through the type system, validation logic, or dedicated runtime assertions.

Can I use formal methods to review business logic without external dependencies?

Yes, you can apply formal methods to review business logic without external dependencies by discovering security and temporal properties internally and enforcing them through documentation, types, or validation checks.

Why does a job queue lose work or process items twice under invalid state?

A job queue loses work or processes items twice due to invalid state transitions. Defining exact invariants around queue membership, execution state, and ordering catches these failures at the correct boundary.