| 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} |
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
- Strategy Analysis: Identify the overall proof approach
- Dependency Mapping: Build logical dependency graphs
- Gap Detection: Find missing steps or unjustified claims
- Restructuring: Suggest clearer proof organization
Tools/Libraries
- Natural language parsing
- Formal logic representation
- Graph analysis tools