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Proof Structure Analyzer

Documents
proof-structure-analyzer

Proof Structure Analyzer is an Agent Skill for documents published in the a5c-ai/babysitter repository on GitHub: a SKILL.md instruction file an AI agent can load to do this task.

Analyze and restructure mathematical proofs for clarity and completeness

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How to use this skill

Bring this guide into your coding agent with a prompt tailored to the tool you use.

  1. Open your project in Codex.
  2. Copy and paste the prompt below.
  3. Review files and risks before approving any action.
Prompt to paste
Inspect the Agent Skill at https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/domains/science/mathematics/skills/proof-structure-analyzer/SKILL.md and all supporting files. Report provenance, permissions, scripts, dependencies, and security risks. Propose an exact installation into .agents/skills/proof-structure-analyzer, but wait for my approval before writing files or running scripts.

Copying this prompt does not install or run the skill. Review third-party files before use.

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