# Proof Structure Analyzer

> Proof Structure Analyzer is an Agent Skill for documents published in the a5c-ai/babysitter repository on GitHub: a SKILL.md instruction file an AI agent can load to do this task.

Analyze and restructure mathematical proofs for clarity and completeness

- Skill name: `proof-structure-analyzer`
- Category: [Documents](https://www.openparable.com/skill/documents/1)
- Source: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/mathematics/skills/proof-structure-analyzer/SKILL.md
- Repository: a5c-ai/babysitter (1,548 GitHub stars when collected)

## SKILL.md

# Proof Structure Analyzer

## Purpose

Provides analysis and restructuring capabilities for mathematical proofs to improve clarity, completeness, and logical flow.

## Capabilities

- Proof strategy identification (induction, contradiction, etc.)
- Dependency graph construction
- Gap detection in reasoning chains
- Proof outline generation
- Lemma extraction suggestions

## Usage Guidelines

1. **Strategy Analysis**: Identify the overall proof approach
2. **Dependency Mapping**: Build logical dependency graphs
3. **Gap Detection**: Find missing steps or unjustified claims
4. **Restructuring**: Suggest clearer proof organization

## Tools/Libraries

- Natural language parsing
- Formal logic representation
- Graph analysis tools

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Source: https://www.openparable.com/skill/documents/proof-structure-analyzer (OpenParable). Cite the canonical URL above.