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proof-structure-analyzer

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Analyze and restructure mathematical proofs for clarity and completeness

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How to use this skill

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/mathematics/skills/proof-structure-analyzer/SKILL.md

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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