soundness-proof-assistant

Assist in constructing type soundness proofs using progress and preservation theorems

509 stars

Best use case

soundness-proof-assistant is best used when you need a repeatable AI agent workflow instead of a one-off prompt.

Assist in constructing type soundness proofs using progress and preservation theorems

Teams using soundness-proof-assistant should expect a more consistent output, faster repeated execution, less prompt rewriting.

When to use this skill

  • You want a reusable workflow that can be run more than once with consistent structure.

When not to use this skill

  • You only need a quick one-off answer and do not need a reusable workflow.
  • You cannot install or maintain the underlying files, dependencies, or repository context.

Installation

Claude Code / Cursor / Codex

$curl -o ~/.claude/skills/soundness-proof-assistant/SKILL.md --create-dirs "https://raw.githubusercontent.com/a5c-ai/babysitter/main/library/specializations/domains/science/computer-science/skills/soundness-proof-assistant/SKILL.md"

Manual Installation

  1. Download SKILL.md from GitHub
  2. Place it in .claude/skills/soundness-proof-assistant/SKILL.md inside your project
  3. Restart your AI agent — it will auto-discover the skill

How soundness-proof-assistant Compares

Feature / Agentsoundness-proof-assistantStandard Approach
Platform SupportNot specifiedLimited / Varies
Context Awareness High Baseline
Installation ComplexityUnknownN/A

Frequently Asked Questions

What does this skill do?

Assist in constructing type soundness proofs using progress and preservation theorems

Where can I find the source code?

You can find the source code on GitHub using the link provided at the top of the page.

SKILL.md Source

# Soundness Proof Assistant

## Purpose

Provides expert guidance on constructing type soundness proofs for programming language type systems.

## Capabilities

- Progress theorem proof templates
- Preservation theorem proof templates
- Substitution lemma generation
- Canonical forms lemma derivation
- Proof case enumeration
- Mechanization guidance

## Usage Guidelines

1. **Lemma Identification**: Identify required supporting lemmas
2. **Progress Proof**: Prove progress theorem by cases
3. **Preservation Proof**: Prove preservation theorem
4. **Substitution Lemmas**: Prove substitution preserves typing
5. **Mechanization**: Translate to proof assistant

## Tools/Libraries

- Coq
- Agda
- Lean
- Twelf

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