proof-structure-analyzer

name	proof-structure-analyzer
description	Analyze and restructure mathematical proofs for clarity and completeness
allowed-tools	["Bash","Read","Write","Edit","Glob","Grep"]
metadata	{"specialization":"mathematics","domain":"science","category":"theorem-proving","phase":6}
graph	{"domains":["domain:mathematics"],"specializations":["specialization:computational-mathematics"],"skillAreas":["skill-area:mathematical-reasoning","skill-area:compiler-implementation","skill-area:language-design"],"workflows":["workflow:experiment-design"],"roles":["role:computational-scientist","role:research-scientist"]}

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