soundness-proof-assistant
// Assist in constructing type soundness proofs using progress and preservation theorems
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updated:March 4, 2026
SKILL.mdreadonly
SKILL.md Frontmatter
namesoundness-proof-assistant
descriptionAssist in constructing type soundness proofs using progress and preservation theorems
allowed-toolsBash,Read,Write,Edit,Glob,Grep
metadata[object Object]
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
- Lemma Identification: Identify required supporting lemmas
- Progress Proof: Prove progress theorem by cases
- Preservation Proof: Prove preservation theorem
- Substitution Lemmas: Prove substitution preserves typing
- Mechanization: Translate to proof assistant
Tools/Libraries
- Coq
- Agda
- Lean
- Twelf