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Soundness proof assistant

Skill a5c-ai/babysitter/library/specializations/domains/science/computer-science/skills/soundness-proof-assistant

Assist in constructing type soundness proofs using progress and preservation theoremsFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill soundness-proof-assistant

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SKILL.md

1.3 KB, 150 tokens by cl100k_base, as published. Nobody here has run it

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

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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