proof-structure-analyzer

Analyze and restructure mathematical proofs for clarity and completeness

509 stars

Best use case

proof-structure-analyzer is best used when you need a repeatable AI agent workflow instead of a one-off prompt.

Analyze and restructure mathematical proofs for clarity and completeness

Teams using proof-structure-analyzer should expect a more consistent output, faster repeated execution, less prompt rewriting.

When to use this skill

  • You want a reusable workflow that can be run more than once with consistent structure.

When not to use this skill

  • You only need a quick one-off answer and do not need a reusable workflow.
  • You cannot install or maintain the underlying files, dependencies, or repository context.

Installation

Claude Code / Cursor / Codex

$curl -o ~/.claude/skills/proof-structure-analyzer/SKILL.md --create-dirs "https://raw.githubusercontent.com/a5c-ai/babysitter/main/library/specializations/domains/science/mathematics/skills/proof-structure-analyzer/SKILL.md"

Manual Installation

  1. Download SKILL.md from GitHub
  2. Place it in .claude/skills/proof-structure-analyzer/SKILL.md inside your project
  3. Restart your AI agent — it will auto-discover the skill

How proof-structure-analyzer Compares

Feature / Agentproof-structure-analyzerStandard Approach
Platform SupportNot specifiedLimited / Varies
Context Awareness High Baseline
Installation ComplexityUnknownN/A

Frequently Asked Questions

What does this skill do?

Analyze and restructure mathematical proofs for clarity and completeness

Where can I find the source code?

You can find the source code on GitHub using the link provided at the top of the page.

SKILL.md Source

# 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

Related Skills

structured-data

509
from a5c-ai/babysitter

JSON-LD schema markup and validation.

terraform-analyzer

509
from a5c-ai/babysitter

Specialized skill for analyzing Terraform configurations. Supports parsing, security scanning (tfsec, checkov), cost estimation (infracost), drift detection, and plan visualization across AWS, Azure, and GCP.

db-query-analyzer

509
from a5c-ai/babysitter

Analyze database query performance with execution plans and index recommendations

code-complexity-analyzer

509
from a5c-ai/babysitter

Analyze code complexity metrics including cyclomatic complexity, code smells, and technical debt

cloudformation-analyzer

509
from a5c-ai/babysitter

Validate and analyze AWS CloudFormation templates for security and best practices

semantic-code-analyzer

509
from a5c-ai/babysitter

LLM-powered semantic analysis of code diffs to detect business-logic trojans

sast-analyzer

509
from a5c-ai/babysitter

Static Application Security Testing orchestration and analysis. Execute Semgrep, Bandit, ESLint security plugins, CodeQL, and other SAST tools. Parse, prioritize, and deduplicate findings across multiple tools with remediation guidance.

crypto-analyzer

509
from a5c-ai/babysitter

Cryptographic implementation analysis and validation for encryption algorithms, key sizes, and certificate management

semver-analyzer

509
from a5c-ai/babysitter

Analyze code changes and determine semantic version bumps. Detect breaking changes automatically, suggest version bump (major/minor/patch), generate changelog entries, and validate version consistency.

api-diff-analyzer

509
from a5c-ai/babysitter

Compare API specifications to detect breaking changes. Compare OpenAPI spec versions, categorize changes by severity, generate migration guides, and block breaking changes in CI.

process-analyzer

509
from a5c-ai/babysitter

Analyze processes, identify workflows, define boundaries and scope, and map process requirements for specialization creation.

scope-logic-analyzer

509
from a5c-ai/babysitter

Test equipment integration for signal analysis (oscilloscope and logic analyzer)