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