ReddRadar
Agent skill
soundness-proof-assistant
Assist in constructing type soundness proofs using progress and preservation theorems
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/computer-science/skills/soundness-proof-assistant
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- programming-language-theory
- specialization
- computer-science
SKILL.md
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
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