Agent Skills: Proof Structure Analyzer

Analyze and restructure mathematical proofs for clarity and completeness

theorem-provingID: a5c-ai/babysitter/proof-structure-analyzer

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plugins/babysitter/skills/babysit/process/specializations/domains/science/mathematics/skills/proof-structure-analyzer/SKILL.md

Skill Metadata

Name
proof-structure-analyzer
Description
Analyze and restructure mathematical proofs for clarity and completeness

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