Soundness Proof Assistant

SkillDev tools

Assist in constructing type soundness proofs using progress and preservation theorems

Use Soundness Proof Assistant in Claude, ChatGPT or Ahel Desktop

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Details

Instructions available. Your AI can read the instructions. Execution depends on the setup they require.

Add Ahel to your AI once: Claude, ChatGPT, Cursor, Claude Code or Codex. Then ask it to use this.

Soundness Proof AssistantStart free

What this skill tells your AI

The instructions your AI receives, as published by a5c-ai/babysitter in library/specializations/domains/science/computer-science/skills/soundness-proof-assistant/SKILL.md and read by Ahel’s review.

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

Signals

GitHub stars
2k
Forks
113
Last commit
Sep 2026
Advanced
Item type
skill
Key
soundness-proof-assistant
Source
github.com/a5c-ai/babysitter