invariant-analysis

Analyzes system designs to formalize security claims as invariants.

1|1|Updated Feb 21, 2026
One-click install
npx skills add https://github.com/dtsong/claude-code-windows-setup --skill invariant-analysis
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: invariant-analysis
Source: https://github.com/dtsong/claude-code-windows-setup/tree/main/skills/council/prover/invariant-analysis
Command: npx skills add https://github.com/dtsong/claude-code-windows-setup --skill invariant-analysis

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This Skill helps you rigorously define and assess the security guarantees of a system by formalizing claims as invariants and evaluating the feasibility of their verification.

Core Features & Use Cases

  • Claim Enumeration: Identifies explicit and implicit security claims within system designs.
  • Invariant Formalization: Translates claims into precise mathematical predicates.
  • Assumption Analysis: Uncovers and classifies hidden assumptions required for claims to hold.
  • Feasibility Assessment: Evaluates the practicality of formally verifying these invariants using various tools and techniques.
  • Use Case: When designing a new financial transaction system, use this Skill to ensure that claims like "no double-spending" and "all transactions are eventually confirmed" are precisely defined, their underlying assumptions (e.g., network reliability) are understood, and a practical verification strategy is proposed.

Quick Start

Analyze the security claims in the provided system design document and formalize them as invariants.

Frequently Asked Questions about invariant-analysis

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

FAQPage Schema
How do I formalize security claims as invariants from system designs?

Formalize security claims by analyzing system designs to enumerate explicit and implicit guarantees, translating them into precise mathematical predicates, and identifying hidden assumptions required for the claims to hold.

What is the best way to identify hidden assumptions in threat models and architecture documentation?

Identify hidden assumptions by evaluating architecture documentation and threat models against formalized invariants, classifying the unstated conditions that must be true for safety and liveness properties to hold.

How do I assess the feasibility of formally verifying temporal properties and safety invariants?

Assess verification feasibility by evaluating the practicality of proving or disproving formalized invariants using various specification approaches, mathematical tools, and techniques tailored to temporal properties.

Can I use invariant analysis for a financial transaction system to ensure no double-spending?

Yes, analyze financial transaction system designs to formalize claims like no double-spending as invariants, understand underlying assumptions such as network reliability, and propose a practical verification strategy.

When do I need formal verification of invariants instead of standard security testing?

You need formal verification when rigorous assessment of security guarantees is required, translating system claims into mathematical predicates to evaluate proofs or disprove liveness and safety properties.

Does invariant analysis work with architecture documentation to recommend specification approaches?

Yes, it processes architecture documentation and threat models to recommend specific specification approaches for proving or disproving security claims based on identified invariants and assumptions.